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21Math www.CommonCoreSheets.com
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Modified 1-10 11-15
93 87 80 73 67 60 53 47 40 33 27 20 13 7 0
1) (70 ÷ 10) - 2 = 5 (7) - 2
2) (6 + 10) × 6 = 96 (16) × 6
3) (16 - 15) × 4 = 4 (1) × 4
4) (9 × 10) ÷ 8 = 11 r2 (90) ÷ 8
5) (1 + 5) + 2 = 8 (6) + 2
6) (35 ÷ 7) × 6 = 30 (5) × 6
7) (8 × 9) + 4 = 76 (72) + 4
8) (10 × 9) - 82 = 8 (90) - 82
9) (7 × 8) × 10 = 560 (56) × 10
10) (15 - 4) - 4 = 7 (11) - 4
11) (13 - 1) + 1 = 13 (12) + 1
12) (20 ÷ 2) + 10 = 20 (10) + 10
13) (40 - 4) ÷ 6 = 6 (36) ÷ 6
14) (3 + 5) ÷ 2 = 4 (8) ÷ 2
15) (9 + 6) - 3 = 12 (15) - 3
30 560 20 7 5
6 96 8 11 r2 4
76 8 12 13 4
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Solving with ParenthesisSolve each of the problems.
1 Math www.CommonCoreSheets.com
Name:
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Modified 1-10 11-15
93 87 80 73 67 60 53 47 40 33 27 20 13 7 0
1) (10 × 9) × 7 = 630 (90) × 7
2) (20 ÷ 5) × 2 = 8 (4) × 2
3) (6 ÷ 2) - 1 = 2 (3) - 1
4) (46 - 16) ÷ 10 = 3 (30) ÷ 10
5) (16 - 6) - 2 = 8 (10) - 2
6) (4 × 10) ÷ 3 = 13 r1 (40) ÷ 3
7) (6 + 9) × 4 = 60 (15) × 4
8) (48 ÷ 6) + 6 = 14 (8) + 6
9) (4 × 2) - 5 = 3 (8) - 5
10) (5 × 10) + 15 = 65 (50) + 15
11) (11 + 3) ÷ 2 = 7 (14) ÷ 2
12) (2 - 1) × 9 = 9 (1) × 9
13) (2 + 5) - 3 = 4 (7) - 3
14) (13 - 7) + 6 = 12 (6) + 6
15) (2 + 9) + 7 = 18 (11) + 7
12 65 630 18 3
7 9 8 60 4
8 2 13 r1 3 14
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Solving with ParenthesisSolve each of the problems.
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43Math www.CommonCoreSheets.com
Name:
Answers
Modified 1-10 11-15
93 87 80 73 67 60 53 47 40 33 27 20 13 7 0
1) (6 ÷ 2) + 9 = 12 (3) + 9
2) (1 + 13) ÷ 2 = 7 (14) ÷ 2
3) (6 + 10) + 6 = 22 (16) + 6
4) (40 ÷ 5) × 2 = 16 (8) × 2
5) (7 × 2) - 3 = 11 (14) - 3
6) (6 + 7) × 7 = 91 (13) × 7
7) (24 ÷ 8) - 1 = 2 (3) - 1
8) (3 × 4) + 3 = 15 (12) + 3
9) (50 - 10) ÷ 4 = 10 (40) ÷ 4
10) (1 + 7) - 8 = 0 (8) - 8
11) (15 - 7) - 4 = 4 (8) - 4
12) (2 - 1) × 10 = 10 (1) × 10
13) (14 - 5) + 6 = 15 (9) + 6
14) (6 × 10) ÷ 9 = 6 r6 (60) ÷ 9
15) (3 × 7) × 7 = 147 (21) × 7
91 4 7 15 22
16 6 r6 15 10 12
147 11 10 2 0
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Solving with ParenthesisSolve each of the problems.
3 Math www.CommonCoreSheets.com
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1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) 77 + ( 83 + 15 ) 77 + ( 98 ) = 175
2) ( 65 - 9 ) + 97 ( 56 ) + 97 = 153
3) 7 × ( 14 - 4 ) 7 × ( 10 ) = 70
4) ( 47 + 11 ) ÷ 4 ( 58 )÷ 4 = 14 r2
5) ( 21 ÷ 7 ) - 3 ( 3 ) - 3 = 0
6) ( 4 × 8 ) + 70 ( 32 ) + 70 = 102
7) 19 + ( 30 ÷ 3 ) 19 + ( 10 ) = 29
8) 186 - ( 50 + 57 ) 186 - ( 107 ) = 79
9) 133 - ( 2 × 8 ) 133 - ( 16 ) = 117
10) 18 + ( 93 - 62 ) 18 + ( 31 ) = 49
11) ( 9 + 2 ) × 4 ( 11 ) × 4 = 44
12) 26 ÷ ( 9 - 6 ) 26 ÷ ( 3 ) = 8 r2
13) 645 - ( 69 - 1 ) 645 - ( 68 ) = 577
14) ( 59 + 17 ) + 90 ( 76 ) + 90 = 166
15) ( 86 - 73 ) × 2 ( 13 ) × 2 = 26
16) 22 + ( 8 × 8 ) 22 + ( 64 ) = 86
17) ( 83 - 19 ) ÷ 4 ( 64 )�÷ 4 = 16 r0
18) ( 7 × 5 ) ÷ 3 ( 35 )÷ 3 = 11 r2
19) 3 × ( 7 + 3 ) 3 × ( 10 ) = 30
20) 58 ÷ ( 8 + 2 ) 58 ÷ ( 10 ) = 5 r8
1. 175
2. 153
3. 70
4. 14 r2
5. 0
6. 102
7. 29
8. 79
9. 117
10. 49
11. 44
12. 8 r2
13. 577
14. 166
15. 26
16. 86
17. 16 r0
18. 11 r2
19. 30
20. 5 r8
Solving with ParenthesisSolve each problem.
1
65Math www.CommonCoreSheets.com
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1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) 10 × ( 5 + 10 ) 10 × ( 15 ) = 150
2) 3 × ( 42 ÷ 6 ) 3 × ( 7 ) = 21
3) ( 24 ÷ 3 ) × 5 ( 8 ) × 5 = 40
4) ( 44 - 4 ) - 28 ( 40 ) - 28 = 12
5) ( 2 + 5 ) × 10 ( 7 ) × 10 = 70
6) ( 31 + 9 ) + 99 ( 40 ) + 99 = 139
7) ( 19 + 77 ) - 72 ( 96 ) - 72 = 24
8) ( 54 ÷ 6 ) + 31 ( 9 ) + 31 = 40
9) ( 7 × 2 ) ÷ 5 ( 14 )÷ 5 = 2 r4
10) 227 - ( 96 - 43 ) 227 - ( 53 ) = 174
11) 67 - ( 21 ÷ 3 ) 67 - ( 7 ) = 60
12) ( 95 - 90 ) + 99 ( 5 ) + 99 = 104
13) 14 + ( 74 - 56 ) 14 + ( 18 ) = 32
14) ( 74 + 23 ) ÷ 3 ( 97 )÷ 3 = 32 r1
15) ( 7 × 7 ) - 10 ( 49 ) - 10 = 39
16) ( 91 - 2 ) ÷ 8 ( 89 )�÷ 8 = 11 r1
17) 9 × ( 3 × 10 ) 9 × ( 30 ) = 270
18) 32 ÷ ( 5 + 5 ) 32 ÷ ( 10 ) = 3 r2
19) 9 × ( 52 - 14 ) 9 × ( 38 ) = 342
20) 15 + ( 34 + 8 ) 15 + ( 42 ) = 57
1. 150
2. 21
3. 40
4. 12
5. 70
6. 139
7. 24
8. 40
9. 2 r4
10. 174
11. 60
12. 104
13. 32
14. 32 r1
15. 39
16. 11 r1
17. 270
18. 3 r2
19. 342
20. 57
Solving with ParenthesisSolve each problem.
2 Math www.CommonCoreSheets.com
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1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) 9 × ( 3 × 5 ) 9 × ( 15 ) = 135
2) 330 - ( 40 - 7 ) 330 - ( 33 ) = 297
3) ( 39 + 97 ) + 45 ( 136 ) + 45 = 181
4) ( 9 + 2 ) × 4 ( 11 ) × 4 = 44
5) ( 45 ÷ 5 ) × 9 ( 9 ) × 9 = 81
6) ( 5 × 8 ) ÷ 2 ( 40 )÷ 2 = 20 r0
7) 79 + ( 82 + 93 ) 79 + ( 175 ) = 254
8) ( 2 × 2 ) + 51 ( 4 ) + 51 = 55
9) ( 99 - 94 ) - 4 ( 5 ) - 4 = 1
10) ( 7 × 2 ) ÷ 2 ( 14 )÷ 2 = 7 r0
11) ( 9 × 4 ) - 10 ( 36 ) - 10 = 26
12) 4 × ( 12 ÷ 6 ) 4 × ( 2 ) = 8
13) 543 - ( 5 × 6 ) 543 - ( 30 ) = 513
14) 44 - ( 20 ÷ 10 ) 44 - ( 2 ) = 42
15) 28 + ( 90 - 42 ) 28 + ( 48 ) = 76
16) 27 ÷ ( 8 - 3 ) 27 ÷ ( 5 ) = 5 r2
17) ( 53 - 17 ) ÷ 8 ( 36 )�÷ 8 = 4 r4
18) 23 ÷ ( 4 + 5 ) 23 ÷ ( 9 ) = 2 r5
19) 594 - ( 28 + 21 ) 594 - ( 49 ) = 545
20) ( 32 ÷ 8 ) - 3 ( 4 ) - 3 = 1
1. 135
2. 297
3. 181
4. 44
5. 81
6. 20 r0
7. 254
8. 55
9. 1
10. 7 r0
11. 26
12. 8
13. 513
14. 42
15. 76
16. 5 r2
17. 4 r4
18. 2 r5
19. 545
20. 1
Solving with ParenthesisSolve each problem.
3
87
Modified 1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0
1) Find the product of 2 and 5and then divide 33 ÷ (2 × 5)(5 × 3) ÷ 2(2 × 5) ÷ 3(3 × 2) ÷ 5
2) Divide the sum of 4 and 3 by5(4 + 3) ÷ 5(5 + 3) ÷ 45 ÷ (3 + 4)3 ÷ (4 + 5)
3) Divide 8 by the quotient of 5divivided by 28 ÷ (2 ÷ 5)8 ÷ (5 ÷ 2)(2 ÷ 5) ÷ 85 ÷ (8 ÷ 2)
4) Add 2 and 5 and then divide7 by the sum(7 + 5) ÷ 25 ÷ (2 + 7)7 ÷ (2 + 5)(2 + 7) ÷ 5
5) Find 7 times as much as 6less than 10(6 - 10) × 77 × (10 - 6)6 × (10 - 7)7 × (6 - 10)
6) Multiply 9 and 2 and thensubtract 13(9 × 13) - 213 - (2 × 9)13 - (9 × 2)(9 × 2) - 13
7) Subtract 5 from 13 and thendivide the difference by 3(5 - 13) ÷ 3(13 - 5) ÷ 3(3 - 13) ÷ 5(3 - 13) ÷ 1
8) 73 divided by the differencebetween 12 and 7(7 - 12) ÷ 7373 ÷ (12 - 7)(12 - 7) ÷ 737 ÷ (12 - 73)
9) Find 1 less than 18 and thenfind 28 less than thedifference28 - (18 - 1)28 - (18 - 1)(18 - 1) - 2828 - (1 - 18)
10) Find 7 more than the sum of9 and 8(7 + 8) + 99 + (7 + 8)8 + (9 + 7)(9 + 8) + 7
11) Find a number that is 8 timesas large as 5 divided by 6(8 ÷ 6) × 5(5 ÷ 6) × 86 × (5 ÷ 8)5 × (8 ÷ 6)
12) Add 3 to the quotient of 4divided by 9(4 ÷ 9) + 3(9 ÷ 4) + 3(3 ÷ 9) + 44 + (3 ÷ 9)
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Rewrite each number sentence using numerals and symbols.Rewriting Number Sentences
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1 Modified 1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0
1) Add 9 and 4 and then subtract3(9 + 3) - 4(9 + 4) - 3(9 + 3) - 4(3 + 4) - 9
2) Find the quotient of 6 dividedby 7 and then divide 2(6 ÷ 7) ÷ 22 ÷ (7 ÷ 6)2 ÷ (6 ÷ 7)(7 ÷ 6) ÷ 2
3) Subtract 5 from 19 and thendivide 74 by the difference5 ÷ (19 - 74)(5 - 19) ÷ 7474 ÷ (19 - 5)(19 - 5) ÷ 74
4) Find the product of 3 and 9and then take that from 44 - (3 × 9)4 × (3 - 9)(3 × 9) - 4(9 × 3) - 4
5) Find 1/6 of 7 less than 17(17 - 7) ÷ 6(6 - 17) ÷ 1(6 - 17) ÷ 7(7 - 17) ÷ 6
6) Find the product of 8 and 6and then multiply by 38 × (3 × 6)(8 × 6) × 36 × (8 × 3)(3 × 6) × 8
7) Add 8 to the differencebetween 10 and 7(10 - 8) + 78 + (7 - 10)(8 - 7) + 10(10 - 7) + 8
8) Find a number that is 5 lessthan 20 minus 105 - (10 - 20)(10 - 20) - 5(20 - 10) - 55 - (20 - 10)
9) Find a number that is 9 lessthan 5 times 29 - (2 × 5)(5 × 2) - 9(5 × 9) - 29 - (5 × 2)
10) Find the product of 4 and 6and then divide 9(4 × 6) ÷ 99 ÷ (4 × 6)(6 × 9) ÷ 4(9 × 4) ÷ 6
11) Take the quotient of 2divided by 6 and from 77 - (6 ÷ 2)(6 ÷ 2) - 77 - (2 ÷ 6)(6 - 2) ÷ 7
12) Find 6 more than 9 plus 8(9 + 6) + 86 + (9 + 8)8 + (9 + 6)(6 + 8) + 9
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2
109
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) Find the quotient of 9 divided by 3 and then take away 7
2) Take the quotient of 5 divided by 2 and from 6
3) 74 divided by the difference between 10 and 8
4) Find the product of 6 times 8 less than 9
5) Divide 9 by 6 and then multiply by 4
6) Add 8 and 2 and then multiply by 9
7) Find 8 more than 9 minus 9
8) Find a number that is 9 times as large as 10 minus 8
9) Find the quotient of 7 less than 12 divided by 3
10) Find 9 times as much as the product of 7 and 5
11) Subtract 21 from the product of 4 and 7
12) Divide 6 by the product of 5 and 9
13) Find 1/4 as many as 8 plus 2
14) Subtract 17 from 22 and then subtract 5
15) Add 3 and 6 and then add 4
16) Find the sum of 5 and 6 and then take it from 14
17) Find take 2 from 13 and then take the difference from 20
18) Divide 9 by the sum of 3 and 7
19) Find the product of 6 and 2 and then divide 9
20) Divide 8 by 3 and then add 4
1. (9 ÷ 3) - 7
2. 6 - (5 ÷ 2)
3. 74 ÷ (10 - 8)
4. 9 - (6 × 8)
5. 4 × (9 ÷ 6)
6. 9 × (8 + 2)
7. 8 + (9 - 9)
8. 9 × (10 - 8)
9. (12 - 7) ÷ 2
10. (7 × 5) × 9
11. (4 × 7) - 21
12. 6 ÷ (5 × 9)
13. (8 + 2) ÷ 4
14. (22 - 17) - 5
15. (3 + 6) + 4
16. 14 - (5 + 6)
17. 20 - (13 - 2)
18. 9 ÷ (3 + 7)
19. (6 × 2) ÷ 9
20. (8 ÷ 3) + 4
Rewrite each number sentence using numerals and symbols.Rewriting Number Sentences
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3 1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) Subtract 7 from 13 and then divide the difference by 6
2) Find the product of 9 times 6 less than 5
3) Find take 6 from 12 and then take the difference from 30
4) Subtract 4 from 7 and then multiply by 9
5) Take 4 from the sum of 9 and 8
6) Find 2 more than 5 and then take the sum from 19
7) Divide 3 by the sum of 2 and 8
8) Add 9 and 3 and then add 7
9) Divide 6 by 4 and then divide 8 by the quotient
10) Divide 9 by the product of 4 and 3
11) Divide 3 by 6 and then multiply by 8
12) Subtract 12 from 23 and then subtract 5
13) Subtract 6 from the product of 3 and 8
14) Subtract 8 from 10 and then divide 23 by the difference
15) Find 6 times as many as 7 plus 8
16) Subtract the quotient of 3 divided by 8 from 2
17) Subtract 9 from the quotient of 8 divided by 4
18) Find 2 more than the quotient of 7 and 5
19) Divide the sum of 6 and 2 by 3
20) Add 3 to the difference between 9 and 7
1. (13 - 7) ÷ 6
2. 5 - (9 × 6)
3. 30 - (12 - 6)
4. 9 × (7 - 4)
5. (9 + 8) - 4
6. 19 - (5 + 2)
7. 3 ÷ (2 + 8)
8. 7 + (9 + 3)
9. 8 ÷ (6 ÷ 4)
10. 9 ÷ (4 × 3)
11. (3 ÷ 6) × 8
12. (23 - 12) - 5
13. (3 × 8) - 6
14. 23 ÷ (10 - 8)
15. 6 × (7 + 8)
16. 2 - (3 ÷ 8)
17. (8 ÷ 4) - 9
18. (7 ÷ 5) + 2
19. (6 + 2) ÷ 3
20. (9 - 7) + 3
Rewrite each number sentence using numerals and symbols.Rewriting Number Sentences
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1211Math www.CommonCoreSheets.com
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1-10 90 80 70 60 50 40 30 20 10 0
19181716151413121110987654321
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Ex) X: Start at 13 and subtract 1.Y: Start at 12 and subtract 2.
x: 13 12 11 10
y: 12 10 8 6
1) X: Start at 14 and subtract 2.Y: Start at 7 and subtract 1.
x: 14 12 10 8
y: 7 6 5 4
2) X: Start at 2 and add 1.Y: Start at 7 and add 3.
x: 2 3 4 5
y: 7 10 13 16
3) X: Start at 17 and subtract 3.Y: Start at 19 and subtract 3.
x: 17 14 11 8
y: 19 16 13 10
4) X: Start at 17 and subtract 3.Y: Start at 4 and add 1.
x: 17 14 11 8
y: 4 5 6 7
5) X: Start at 10 and add 2.Y: Start at 11 and subtract 1.
x: 10 12 14 16
y: 11 10 9 8
Ex. (10,6)
Ex. Graph
1. (8,4)
1. Graph
2. (5,16)
2. Graph
3. (8,10)
3. Graph
4. (8,7)
4. Graph
5. (16,8)
5. Graph
Graphing PatternsFill in the patterns and then graph the coordinate pairs.
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1-10 90 80 70 60 50 40 30 20 10 0
19181716151413121110987654321
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Ex) X: Start at 9 and subtract 1.Y: Start at 2 and add 3.
x: 9 8 7 6
y: 2 5 8 11
1) X: Start at 2 and add 2.Y: Start at 2 and add 2.
x: 2 4 6 8
y: 2 4 6 8
2) X: Start at 14 and subtract 2.Y: Start at 9 and add 3.
x: 14 12 10 8
y: 9 12 15 18
3) X: Start at 4 and subtract 1.Y: Start at 2 and add 1.
x: 4 3 2 1
y: 2 3 4 5
4) X: Start at 9 and subtract 2.Y: Start at 8 and add 2.
x: 9 7 5 3
y: 8 10 12 14
5) X: Start at 1 and add 2.Y: Start at 10 and add 3.
x: 1 3 5 7
y: 10 13 16 19
Ex. (6,11)
Ex. Graph
1. (8,8)
1. Graph
2. (8,18)
2. Graph
3. (1,5)
3. Graph
4. (3,14)
4. Graph
5. (7,19)
5. Graph
Graphing PatternsFill in the patterns and then graph the coordinate pairs.
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1413Math www.CommonCoreSheets.com
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1-10 90 80 70 60 50 40 30 20 10 0
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Ex) X: Start at 16 and subtract 2.Y: Start at 16 and subtract 2.
x: 16 14 12 10
y: 16 14 12 10
1) X: Start at 3 and add 1.Y: Start at 8 and add 2.
x: 3 4 5 6
y: 8 10 12 14
2) X: Start at 13 and subtract 2.Y: Start at 9 and add 1.
x: 13 11 9 7
y: 9 10 11 12
3) X: Start at 16 and subtract 3.Y: Start at 6 and add 2.
x: 16 13 10 7
y: 6 8 10 12
4) X: Start at 4 and add 2.Y: Start at 8 and add 1.
x: 4 6 8 10
y: 8 9 10 11
5) X: Start at 8 and add 2.Y: Start at 9 and add 1.
x: 8 10 12 14
y: 9 10 11 12
Ex. (10,10)
Ex. Graph
1. (6,14)
1. Graph
2. (7,12)
2. Graph
3. (7,12)
3. Graph
4. (10,11)
4. Graph
5. (14,12)
5. Graph
Graphing PatternsFill in the patterns and then graph the coordinate pairs.
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1-10 90 80 70 60 50 40 30 20 10 0
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Ex) X: Start at 11 and subtract 3.Y: Start at 10 and subtract 1.
x: 11 8 5 2
y: 10 9 8 7
1) X: Start at 18 and subtract 3.Y: Start at 7 and add 2.
x: 18 15 12 9
y: 7 9 11 13
2) X: Start at 11 and subtract 1.Y: Start at 7 and add 2.
x: 11 10 9 8
y: 7 9 11 13
3) X: Start at 7 and add 3.Y: Start at 8 and subtract 1.
x: 7 10 13 16
y: 8 7 6 5
4) X: Start at 10 and subtract 3.Y: Start at 6 and add 1.
x: 10 7 4 1
y: 6 7 8 9
5) X: Start at 13 and subtract 1.Y: Start at 14 and subtract 3.
x: 13 12 11 10
y: 14 11 8 5
Ex. (2,7)
Ex. Graph
1. (9,13)
1. Graph
2. (8,13)
2. Graph
3. (16,5)
3. Graph
4. (1,9)
4. Graph
5. (10,5)
5. Graph
Graphing PatternsFill in the patterns and then graph the coordinate pairs.
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1-10 93 87 80 73 67 60 53 47 40 3311-15 27 20 13 7 0
Ex) 2 0 . 4
Ex) 3 . 9
1) 8 , 6 4 4 . 5 8
2) 3 4 4 . 1 8 1
3) 6 1 . 8 3
4) 9 5 . 4
5) 1 5 2 . 4 2
6) 6 1 8 , 2 5 2 . 7 7 8
7) 3 , 4 5 5 , 2 8 7 . 3 5 1
8) 1 , 9 5 3 . 1 7 5
9) 2 , 9 9 0 . 8 5
10) 1 3 9 , 9 9 6 . 6
11) 2 , 1 1 2 . 9 4 9
12) 4 4 . 5
13) 8 , 9 5 7 , 3 4 2 . 9
14) 8 7 7 , 2 1 7 . 3 9
15) 5 8 , 8 4 6 . 5 2 3
Ex.4⁄10
Ex. 3
1. 8,000
2.1⁄1000
3.3⁄100
4.4⁄10
5.2⁄100
6.8⁄1000
7.1⁄1000
8.5⁄1000
9.5⁄100
10.6⁄10
11. 2,000
12.5⁄10
13.9⁄10
14.9⁄100
15. 50,000
Finding Digit Value with DecimalsFind the value of the underlined digit.
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Answers
1-10 93 87 80 73 67 60 53 47 40 3311-15 27 20 13 7 0
Ex) 5 4 6 , 3 0 3 . 7
Ex) 5 . 4 2
1) 5 4 , 9 4 9 . 5
2) 7 3 3 , 0 6 8 . 2 4 5
3) 6 , 6 3 0 . 9
4) 5 , 5 9 0 , 3 4 8 . 1 5
5) 7 , 9 6 0 , 3 1 4 . 8 4
6) 8 , 1 4 4 , 7 5 3 . 2
7) 7 2 9 , 9 0 2 . 2 6 6
8) 5 , 2 7 4 , 7 8 6 . 9 8 4
9) 1 8 , 2 9 3 . 6 1
10) 4 , 1 2 6 . 3
11) 4 5 . 6
12) 3 . 9 9 5
13) 3 , 3 7 5 . 6
14) 2 , 5 8 9 . 5 3
15) 9 . 8 2 4
Ex.7⁄10
Ex.2⁄100
1. 50,000
2. 700,000
3.9⁄10
4.5⁄100
5.4⁄100
6.2⁄10
7.6⁄1000
8.4⁄1000
9.1⁄100
10.3⁄10
11.6⁄10
12. 3
13. 3,000
14.3⁄100
15.4⁄1000
Finding Digit Value with DecimalsFind the value of the underlined digit.
2
1817Math
Name:
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Answers
1-10 92 85 77 69 62 54 46 38 31 2311-13 15 8 0
1) 962.69The 6 in the tens place is _______ the value of the 6 in the tenths place.
2) 9,443.2The 4 in the tens place is _______ the value of the 4 in the hundreds place.
3) 54.45The 5 in the tens place is _______ the value of the 5 in the hundredths place.
4) 7,279.21The 2 in the hundreds place is _______ the value of the 2 in the tenths place.
5) 29,392.46The 9 in the tens place is _______ the value of the 9 in the thousands place.
6) 55.4The 5 in the ones place is _______ the value of the 5 in the tens place.
7) 668.88The 6 in the tens place is _______ the value of the 6 in the hundreds place.
8) 8,543.191The 1 in the tenths place is _______ the value of the 1 in the thousandths place.
9) 53,765.873The 3 in the thousands place is _______ the value of the 3 in the thousandths place.
10) 93,482.23The 2 in the ones place is _______ the value of the 2 in the tenths place.
11) 5,528.783The 8 in the ones place is _______ the value of the 8 in the hundredths place.
12) 418.85The 8 in the ones place is _______ the value of the 8 in the tenths place.
13) 114.5The 1 in the tens place is _______ the value of the 1 in the hundreds place.
1. 100 ×
2.1⁄10
3. 1,000 ×
4. 1,000 ×
5.1⁄100
6.1⁄10
7.1⁄10
8. 100 ×
9. 1,000,000 ×
10. 10 ×
11. 100 ×
12. 10 ×
13.1⁄10
Examining Digit Place ValuesCompare the values of each of the digits.
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1-10 92 85 77 69 62 54 46 38 31 2311-13 15 8 0
1) 6,237.2The 2 in the hundreds place is _______ the value of the 2 in the tenths place.
2) 14,219.92The 9 in the ones place is _______ the value of the 9 in the tenths place.
3) 268.6The 6 in the tens place is _______ the value of the 6 in the tenths place.
4) 52.959The 5 in the tens place is _______ the value of the 5 in the hundredths place.
5) 88.3The 8 in the ones place is _______ the value of the 8 in the tens place.
6) 8,941,337.71The 7 in the ones place is _______ the value of the 7 in the tenths place.
7) 77.4The 7 in the ones place is _______ the value of the 7 in the tens place.
8) 281.215The 1 in the ones place is _______ the value of the 1 in the hundredths place.
9) 318,315.46The 1 in the tens place is _______ the value of the 1 in the ten thousands place.
10) 615.657The 6 in the hundreds place is _______ the value of the 6 in the tenths place.
11) 233.45The 3 in the ones place is _______ the value of the 3 in the tens place.
12) 564,128.68The 8 in the ones place is _______ the value of the 8 in the hundredths place.
13) 559.16The 5 in the tens place is _______ the value of the 5 in the hundreds place.
1. 1,000 ×
2. 10 ×
3. 100 ×
4. 1,000 ×
5.1⁄10
6. 10 ×
7.1⁄10
8. 100 ×
9.1⁄1,000
10. 1,000 ×
11.1⁄10
12. 100 ×
13.1⁄10
Examining Digit Place ValuesCompare the values of each of the digits.
2
2019Math www.CommonCoreSheets.com
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Modified 1-10 11-15
93 87 80 73 67 60 53 47 40 33 27 20 13 7 0
Ex) If 9 × 8 = 72 , then 9 × 800 = 7,200
Ex) If 7 × 3 = 21 , then 70 × 3 = 210
1) If 6 × 2 = 12 , then 6 × 200 =
2) If 3 × 3 = 9 , then 30 × 3 =
3) If 3 × 4 = 12 , then 3 × 40 =
4) If 9 × 4 = 36 , then 900 × 4 =
5) If 7 × 1 = 7 , then 7 × 10 =
6) If 6 × 9 = 54 , then 600 × 9 =
7) If 6 × 1 = 6 , then 6 × 100 =
8) If 2 × 4 = 8 , then 20 × 4 =
9) If 2 × 6 = 12 , then 2 × 600 =
10) If 6 × 6 = 36 , then 600 × 6 =
11) If 7 × 5 = 35 , then 7 × 50 =
12) If 8 × 3 = 24 , then 800 × 3 =
13) If 2 × 9 = 18 , then 2 × 900 =
14) If 3 × 1 = 3 , then 30 × 1 =
15) If 5 × 4 = 20 , then 5 × 40 =
350 30 5,400 90 2,400
600 1,200 3,600 70 3,600
1,800 120 1,200 7,200 200
210 80
Ex. 7,200
Ex. 210
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
Understanding Multiplying By 10s & 100sDetermine the answer to the following problems.
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Modified 1-10 11-15
93 87 80 73 67 60 53 47 40 33 27 20 13 7 0
Ex) If 6 × 4 = 24 , then 6 × 40 = 240
Ex) If 7 × 6 = 42 , then 70 × 6 = 420
1) If 2 × 3 = 6 , then 2 × 30 =
2) If 2 × 9 = 18 , then 20 × 9 =
3) If 9 × 4 = 36 , then 9 × 400 =
4) If 6 × 1 = 6 , then 600 × 1 =
5) If 9 × 3 = 27 , then 9 × 30 =
6) If 5 × 9 = 45 , then 500 × 9 =
7) If 7 × 4 = 28 , then 7 × 400 =
8) If 2 × 2 = 4 , then 200 × 2 =
9) If 5 × 3 = 15 , then 5 × 30 =
10) If 3 × 6 = 18 , then 30 × 6 =
11) If 8 × 9 = 72 , then 8 × 90 =
12) If 5 × 6 = 30 , then 500 × 6 =
13) If 8 × 6 = 48 , then 8 × 600 =
14) If 2 × 8 = 16 , then 200 × 8 =
15) If 9 × 6 = 54 , then 9 × 600 =
4,500 3,600 180 150 180
3,000 2,800 720 600 4,800
60 400 420 1,600 240
270 5,400
Ex. 240
Ex. 420
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
Understanding Multiplying By 10s & 100sDetermine the answer to the following problems.
2
2221Math www.CommonCoreSheets.com
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Answers
Modified 1-10 11-15
93 87 80 73 67 60 53 47 40 33 27 20 13 7 0
Ex) If 4 × 7 = 28 , then 4 × 700 = 2,800
Ex) If 3 × 5 = 15 , then 30 × 5 = 150
1) If 5 × 9 = 45 , then 5 × 9,000 =
2) If 9 × 2 = 18 , then 9,000 × 2 =
3) If 5 × 6 = 30 , then 5 × 60 =
4) If 2 × 9 = 18 , then 20 × 9 =
5) If 5 × 5 = 25 , then 5 × 50 =
6) If 5 × 7 = 35 , then 5,000 × 7 =
7) If 4 × 9 = 36 , then 4 × 90 =
8) If 3 × 2 = 6 , then 30 × 2 =
9) If 8 × 3 = 24 , then 8 × 300 =
10) If 7 × 8 = 56 , then 700 × 8 =
11) If 6 × 4 = 24 , then 6 × 4,000 =
12) If 3 × 1 = 3 , then 3,000 × 1 =
13) If 8 × 2 = 16 , then 8 × 2,000 =
14) If 8 × 7 = 56 , then 800 × 7 =
15) If 7 × 4 = 28 , then 7 × 40 =
150 250 45,000 3,000 180
2,800 300 360 5,600 280
5,600 24,000 16,000 35,000 60
18,000 2,400
Ex. 2,800
Ex. 150
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
Understanding Multiplying By 10s, 100s & 1,000sDetermine the answer to the following problems.
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Modified 1-10 11-15
93 87 80 73 67 60 53 47 40 33 27 20 13 7 0
Ex) If 2 × 2 = 4 , then 2 × 200 = 400
Ex) If 4 × 3 = 12 , then 4,000 × 3 = 12,000
1) If 3 × 9 = 27 , then 3 × 9,000 =
2) If 9 × 7 = 63 , then 900 × 7 =
3) If 5 × 4 = 20 , then 5 × 4,000 =
4) If 2 × 4 = 8 , then 200 × 4 =
5) If 5 × 7 = 35 , then 5 × 700 =
6) If 4 × 9 = 36 , then 40 × 9 =
7) If 8 × 1 = 8 , then 8 × 10 =
8) If 8 × 2 = 16 , then 80 × 2 =
9) If 2 × 9 = 18 , then 2 × 9,000 =
10) If 3 × 1 = 3 , then 30 × 1 =
11) If 3 × 6 = 18 , then 3 × 600 =
12) If 8 × 7 = 56 , then 80 × 7 =
13) If 9 × 5 = 45 , then 9 × 5,000 =
14) If 2 × 1 = 2 , then 2,000 × 1 =
15) If 8 × 5 = 40 , then 8 × 500 =
800 45,000 80 18,000 360
400 1,800 4,000 30 20,000
560 3,500 27,000 160 12,000
2,000 6,300
Ex. 400
Ex. 12,000
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
Understanding Multiplying By 10s, 100s & 1,000sDetermine the answer to the following problems.
2
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Answers
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) 2 × 300 = 600
2) 400 × 3 = 1,200
3) 4 × 50 = 200
4) 9 × 200 = 1,800
5) 5 × 900 = 4,500
6) 9 × 400 = 3,600
7) 20 × 2 = 40
8) 7 × 80 = 560
9) 900 × 3 = 2,700
10) 400 × 7 = 2,800
11) 20 × 4 = 80
12) 700 × 2 = 1,400
13) 300 × 7 = 2,100
14) 4 × 10 = 40
15) 10 × 8 = 80
16) 30 × 5 = 150
17) 80 × 6 = 480
18) 3 × 800 = 2,400
19) 60 × 4 = 240
20) 3 × 600 = 1,800
1. 600
2. 1,200
3. 200
4. 1,800
5. 4,500
6. 3,600
7. 40
8. 560
9. 2,700
10. 2,800
11. 80
12. 1,400
13. 2,100
14. 40
15. 80
16. 150
17. 480
18. 2,400
19. 240
20. 1,800
Multiplying by 10s and 100sSolve each problem.
1 1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) 2,000 ÷ 500 = 4
2) 35,000 ÷ 7,000 = 5
3) 14,000 ÷ 7,000 = 2
4) 180 ÷ 60 = 3
5) 1,200 ÷ 600 = 2
6) 48,000 ÷ 6,000 = 8
7) 500 ÷ 500 = 1
8) 8,000 ÷ 2,000 = 4
9) 30,000 ÷ 6,000 = 5
10) 360 ÷ 40 = 9
11) 120 ÷ 30 = 4
12) 45,000 ÷ 5,000 = 9
13) 1,400 ÷ 700 = 2
14) 720 ÷ 90 = 8
15) 10,000 ÷ 2,000 = 5
16) 4,000 ÷ 500 = 8
17) 720 ÷ 80 = 9
18) 200 ÷ 200 = 1
19) 63,000 ÷ 7,000 = 9
20) 2,100 ÷ 300 = 7
1. 4
2. 5
3. 2
4. 3
5. 2
6. 8
7. 1
8. 4
9. 5
10. 9
11. 4
12. 9
13. 2
14. 8
15. 5
16. 8
17. 9
18. 1
19. 9
20. 7
Solve each problem.Dividing with Multiples of Ten
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1
2625
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1)626.54 × 10 = 6,265.4
2)982.24 × 100 = 98,224
3)79,310 ÷ 100 = 793.1
4)547.579 × 100 = 54,757.9
5)95,413.2 ÷ 100 = 954.132
6)821.35 × 10 = 8,213.5
7)75,360 ÷ 100 = 753.6
8)591,840 ÷ 1,000 = 591.84
9)929.2 × 10 = 9,292
10)611,216 ÷ 1,000 = 611.216
11)563.8 × 10 = 5,638
12)852.6 × 1,000 = 852,600
13)332.96 × 1,000 = 332,960
14)75,878 ÷ 100 = 758.78
15)75,412.9 ÷ 100 = 754.129
16)4,878.86 ÷ 10 = 487.886
17)44,338.9 ÷ 100 = 443.389
18)169.1 × 1,000 = 169,100
19)35,797 ÷ 100 = 357.97
20)151.37 × 1,000 = 151,370
1. 10
2. 100
3. 793.1
4. 547.579
5. 95,413.2
6. 8,213.5
7. 75,360
8. 1,000
9. 929.2
10. 1,000
11. 5,638
12. 852,600
13. 332.96
14. 75,878
15. 754.129
16. 10
17. 443.389
18. 1,000
19. 35,797
20. 151.37
Use decimal multiplication and division rules to fill in the blank.Identifying Decimal Equation Patterns
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5 4 7 0 0
5.47 × 104 This is the same as saying: 5.47 × (10 × 10 × 10 × 10)
And because the base is 10 you can just move the decimal 4 places to the right to solve.
.
5.47 × 104 = 54,700
0 2 3 6
2.36 ÷ 102 Division is the same way. Only instead of moving the decimal right, you move it left.
.
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) 8.5 ÷ 10 1 2) 248.92 × 10 4
3) 1.28 ÷ 10 3 4) 498.32 × 10 3
5) 415.95 ÷ 10 2 6) 52.8 × 10 4
7) 582.61 ÷ 10 1 8) 8.15 × 10 1
9) 4.7 ÷ 10 3 10) 9.849 × 10 3
11) 9.969 ÷ 10 2 12) 6.72 × 10 2
13) 61.423 ÷ 10 2 14) 144.717 × 10 3
15) 884.4 ÷ 10 2 16) 79.5 × 10 4
17) 6.14 ÷ 10 4 18) 3.595 × 10 4
19) 66.5 ÷ 10 2 20) 74.3 × 10 1
1. 0.85
2. 2,489,200
3. 0.00128
4. 498,320
5. 4.1595
6. 528,000
7. 58.261
8. 81.5
9. 0.0047
10. 9,849
11. 0.09969
12. 672
13. 0.61423
14. 144,717
15. 8.844
16. 795,000
17. 0.000614
18. 35,950
19. 0.665
20. 743
Multiplying and Dividing Powers of TenSolve each problem.
1
2827Math
Name:
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5 4 7 0 0
5.47 × 104 This is the same as saying: 5.47 × (10 × 10 × 10 × 10)
And because the base is 10 you can just move the decimal 4 places to the right to solve.
.
5.47 × 104 = 54,700
0 2 3 6
2.36 ÷ 102 Division is the same way. Only instead of moving the decimal right, you move it left.
.
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) 629.926 ÷ 10 3 2) 77.71 × 10 1
3) 6.87 ÷ 10 4 4) 21.56 × 10 1
5) 2.6 ÷ 10 1 6) 238.21 × 10 3
7) 33.184 ÷ 10 3 8) 574.91 × 10 3
9) 95.27 ÷ 10 3 10) 396.399 × 10 2
11) 875.86 ÷ 10 3 12) 325.125 × 10 1
13) 86.35 ÷ 10 4 14) 728.4 × 10 4
15) 424.8 ÷ 10 2 16) 11.9 × 10 1
17) 844.21 ÷ 10 2 18) 428.92 × 10 4
19) 7.7 ÷ 10 4 20) 89.618 × 10 1
1. 0.629926
2. 777.1
3. 0.000687
4. 215.6
5. 0.26
6. 238,210
7. 0.033184
8. 574,910
9. 0.09527
10. 39,639.9
11. 0.87586
12. 3,251.25
13. 0.008635
14. 7,284,000
15. 4.248
16. 119
17. 8.4421
18. 4,289,200
19. 0.00077
20. 896.18
Multiplying and Dividing Powers of TenSolve each problem.
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5 4 7 0 0
5.47 × 104 This is the same as saying: 5.47 × (10 × 10 × 10 × 10)
And because the base is 10 you can just move the decimal 4 places to the right to solve.
.
5.47 × 104 = 54,700
0 2 3 6
2.36 ÷ 102 Division is the same way. Only instead of moving the decimal right, you move it left.
.
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) 7.1 ÷ 10 3 2) 8.143 × 10 3
3) 965.74 ÷ 10 2 4) 321.1 × 10 2
5) 463.8 ÷ 10 1 6) 685.438 × 10 3
7) 957.95 ÷ 10 1 8) 956.72 × 10 1
9) 2.716 ÷ 10 1 10) 1.3 × 10 3
11) 24.6 ÷ 10 3 12) 35.29 × 10 4
13) 8.5 ÷ 10 2 14) 875.5 × 10 2
15) 84.1 ÷ 10 2 16) 49.6 × 10 2
17) 7.4 ÷ 10 2 18) 521.9 × 10 3
19) 915.316 ÷ 10 2 20) 5.7 × 10 4
1. 0.0071
2. 8,143
3. 9.6574
4. 32,110
5. 46.38
6. 685,438
7. 95.795
8. 9,567.2
9. 0.2716
10. 1,300
11. 0.0246
12. 352,900
13. 0.085
14. 87,550
15. 0.841
16. 4,960
17. 0.074
18. 521,900
19. 9.15316
20. 57,000
Multiplying and Dividing Powers of TenSolve each problem.
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1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) 40,000 ÷ 10 4 2) 531 × 10 3
3) 81,700 ÷ 10 1 4) 42 × 10 1
5) 8,710,000 ÷ 10 4 6) 47 × 10 3
7) 3,100 ÷ 10 1 8) 2 × 10 4
9) 7,210,000 ÷ 10 3 10) 6 × 10 4
11) 72,000 ÷ 10 1 12) 28 × 10 4
13) 8,000,000 ÷ 10 4 14) 225 × 10 3
15) 77,800,000 ÷ 10 3 16) 76 × 10 2
17) 84,500,000 ÷ 10 4 18) 9 × 10 3
19) 2,000,000 ÷ 10 4 20) 15 × 10 1
1. 4
2. 531,000
3. 8,170
4. 420
5. 871
6. 47,000
7. 310
8. 20,000
9. 7,210
10. 60,000
11. 7,200
12. 280,000
13. 800
14. 225,000
15. 77,800
16. 7,600
17. 8,450
18. 9,000
19. 200
20. 150
Multiplying and Dividing Powers of TenSolve each problem.
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1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) 20 ÷ 10 1 2) 281 × 10 2
3) 38,400,000 ÷ 10 3 4) 125 × 10 3
5) 736,000 ÷ 10 2 6) 6 × 10 3
7) 2,000 ÷ 10 3 8) 22 × 10 4
9) 8,000 ÷ 10 1 10) 12 × 10 2
11) 24,000 ÷ 10 1 12) 52 × 10 4
13) 5,000 ÷ 10 1 14) 41 × 10 1
15) 4,500 ÷ 10 1 16) 17 × 10 4
17) 400,000 ÷ 10 3 18) 58 × 10 4
19) 8,400,000 ÷ 10 4 20) 5 × 10 2
1. 2
2. 28,100
3. 38,400
4. 125,000
5. 7,360
6. 6,000
7. 2
8. 220,000
9. 800
10. 1,200
11. 2,400
12. 520,000
13. 500
14. 410
15. 450
16. 170,000
17. 400
18. 580,000
19. 840
20. 500
Multiplying and Dividing Powers of TenSolve each problem.
2
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Answers
1-10 93 87 80 73 67 60 53 47 40 3311-15 27 20 13 7 0
1) one hundred fifty-five and thirty-four hundredthsA. 155.43 B. 551.43 C. 551.34 D. 155.34
2) two hundred twelve and seventy-three hundredthsA. 212.7 B. 212.37 C. 212.73 D. 212.073
3) six hundred twenty-six and fourteen thousandthsA. 626.014 B. 626.0 C. 626.410 D. 626.0014
4) forty-nine and ninety-eight thousandthsA. 94.890 B. 49.098 C. 49.0098 D. 49.890
5) ninety-six and seven hundred eighty-five thousandthsA. 96.587 B. 96.0785 C. 96.785 D. 69.7
6) eight hundred twenty-four and four hundred seventy-nine thousandthsA. 428.4 B. 824.479 C. 824.00479 D. 428.974
7) eighty-seven and five hundred ninety-eight thousandthsA. 78.5 B. 87.598 C. 78.59 D. 87.00598
8) nine hundred thirty-nine and nine thousandthsA. 939.900 B. 939.009 C. 939.9 D. 939.00
9) eighty-six and eighty-four thousandthsA. 86.0084 B. 86.084 C. 68.480 D. 86.480
10) fifty-four and eight hundred twenty-two thousandthsA. 45.822 B. 54.0822 C. 54.822 D. 45.8
11) five hundred seventy-three and seven hundred twenty-nine thousandthsA. 375.729 B. 573.0729 C. 573.729 D. 573.00729
12) two hundred eighty-three and sixty-eight hundredthsA. 283.0068 B. 283.68 C. 283.068 D. 283.86
13) ninety-one and seventy-five hundredthsA. 91.75 B. 19.57 C. 19.7 D. 19.75
14) three hundred fifty-six and fifty-five hundredthsA. 653.5 B. 356.0055 C. 653.55 D. 356.55
15) seventy-five and one hundred eighty-four thousandthsA. 75.184 B. 57.18 C. 75.481 D. 75.00184
1. D
2. C
3. A
4. B
5. C
6. B
7. B
8. B
9. B
10. C
11. C
12. B
13. A
14. D
15. A
Word to Numeric w/ DecimalsDetermine which choice best show the value written as a numeral.
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1-10 93 87 80 73 67 60 53 47 40 3311-15 27 20 13 7 0
1) five hundred ninety-five and sixteen thousandthsA. 595.01 B. 595.016 C. 595.0016 D. 595.610
2) thirty-four and five hundred thirteen thousandthsA. 34.513 B. 34.0513 C. 34.315 D. 34.00513
3) seventy-one and eighty-five hundredthsA. 71.085 B. 17.8 C. 71.85 D. 71.0085
4) three hundred sixty-five and seven hundred sixty-six thousandthsA. 365.00766 B. 365.766 C. 365.0766 D. 563.76
5) ninety-five and six hundred ninety-four thousandthsA. 95.496 B. 59.694 C. 95.694 D. 59.6
6) sixty-five and seven hundred seventy-nine thousandthsA. 65.779 B. 56.77 C. 56.7 D. 65.0779
7) eighty-three and four hundredthsA. 38.04 B. 83.4 C. 83.40 D. 83.04
8) ninety-five and twenty-six thousandthsA. 59.026 B. 95.26 C. 95.026 D. 95.0026
9) fifty-three and six hundred fourteen thousandthsA. 53.614 B. 35.614 C. 35.6 D. 53.00614
10) twenty-one and four thousandthsA. 12.400 B. 21.4 C. 21.004 D. 21.400
11) eighty-one and twenty-five thousandthsA. 81.25 B. 81.520 C. 18.02 D. 81.025
12) thirteen and one thousandthA. 13.001 B. 13.1 C. 31.00 D. 31.001
13) twelve and sixty-one hundredthsA. 12.61 B. 12.0061 C. 12.061 D. 12.16
14) three hundred sixty-one and eight tenthsA. 361.8 B. 361.008 C. 163.8 D. 361.08
15) fifty-five and eighty-seven thousandthsA. 55.780 B. 55.08 C. 55.0 D. 55.087
1. B
2. A
3. C
4. B
5. C
6. A
7. D
8. C
9. A
10. C
11. D
12. A
13. A
14. A
15. D
Word to Numeric w/ DecimalsDetermine which choice best show the value written as a numeral.
2
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1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
Ex) eighteen and three tenths
1) eight hundred fifty-four and nine tenths
2) five hundred seventy-seven and eight hundred thirty-eight thousandths
3) nine hundred sixty-eight and eighteen thousandths
4) eighteen and seventy-eight hundredths
5) nine and four thousandths
6) fifty-four and six tenths
7) fifty-three and ninety-eight thousandths
8) sixty-seven and five hundred eighty-one thousandths
9) eighty-five and one hundred fifteen thousandths
10) seventy-two and nine hundred fifteen thousandths
11) nine and ninety-three thousandths
12) eight hundred sixty-nine and three hundred twenty-seven thousandths
13) forty-four and nine thousandths
14) five and two tenths
15) nine and eighteen hundredths
16) nine hundred fifteen and seventy-three hundredths
17) eight hundred seventy-nine and seventy-one hundredths
18) seven hundred sixty-five and one hundred seventy-eight thousandths
19) thirty-nine and seventy-two thousandths
20) three and seven hundredths
Ex. 18.3
1. 854.9
2. 577.838
3. 968.018
4. 18.78
5. 9.004
6. 54.6
7. 53.098
8. 67.581
9. 85.115
10. 72.915
11. 9.093
12. 869.327
13. 44.009
14. 5.2
15. 9.18
16. 915.73
17. 879.71
18. 765.178
19. 39.072
20. 3.07
Word Form to Numeric Form with DecimalsConvert each problem to numberic form.
1 1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
Ex) 8 + ( 2 × 1⁄10 ) + ( 3 × 1⁄100 )
1) 7 + ( 8 × 1⁄10 )
2) 8 × 10 + 6 + ( 3 × 1⁄10 ) + ( 1 × 1⁄100 )
3) 8 × 10 + 1 + ( 2 × 1⁄10 ) + ( 9 × 1⁄100 )
4) 8 × 100 + 6 × 10 + 4 + ( 3 × 1⁄10 ) + ( 4 × 1⁄100 ) + ( 7 ×
1⁄1000 )
5) 2 × 100 + 9 × 10 + 1 + ( 2 × 1⁄10 )
6) 5 + ( 3 × 1⁄10 )
7) 1 × 10 + 9 + ( 9 × 1⁄10 ) + ( 8 × 1⁄100 )
8) 6 × 10 + 5 + ( 9 × 1⁄10 ) + ( 4 × 1⁄100 ) + ( 9 ×
1⁄1000 )
9) 1 + ( 7 × 1⁄10 ) + ( 4 × 1⁄100 ) + ( 5 ×
1⁄1000 )
10) 1 × 10 + 2 + ( 7 × 1⁄10 ) + ( 5 × 1⁄100 )
11) 3 × 10 + 3 + ( 4 × 1⁄10 )
12) 1 + ( 6 × 1⁄10 ) + ( 6 × 1⁄100 ) + ( 3 ×
1⁄1000 )
13) 9 × 100 + 7 × 10 + 5 + ( 2 × 1⁄10 )
14) 7 + ( 1 × 1⁄10 ) + ( 6 × 1⁄100 ) + ( 8 ×
1⁄1000 )
15) 3 × 100 + 4 × 10 + 9 + ( 6 × 1⁄10 ) + ( 5 × 1⁄100 ) + ( 1 ×
1⁄1000 )
16) 7 × 10 + 6 + ( 5 × 1⁄10 ) + ( 2 × 1⁄100 ) + ( 9 ×
1⁄1000 )
17) 4 × 10 + 6 + ( 6 × 1⁄10 ) + ( 3 × 1⁄100 )
18) 7 × 10 + 7 + ( 8 × 1⁄10 ) + ( 4 × 1⁄100 )
19) 4 × 10 + 8 + ( 2 × 1⁄10 ) + ( 5 × 1⁄100 )
20) 5 × 100 + 3 × 10 + 4 + ( 2 × 1⁄10 )
Ex. 8.23
1. 7.8
2. 86.31
3. 81.29
4. 864.347
5. 291.2
6. 5.3
7. 19.98
8. 65.949
9. 1.745
10. 12.75
11. 33.4
12. 1.663
13. 975.2
14. 7.168
15. 349.651
16. 76.529
17. 46.63
18. 77.84
19. 48.25
20. 534.2
Convert each problem to numeric notation.Expanded Notation to Numeric Form with Decimals
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Answers
1
3635
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
Ex) 70 + 3 + 7⁄10 + 7⁄100
1) 5 + 7⁄10 + 3⁄100
2) 100 + 50 + 3 + 5⁄10 + 4⁄100
3) 6 + 3⁄10
4) 90 + 1 + 7⁄10
5) 90 + 1 + 1⁄10 + 2⁄100
6) 50 + 6 + 5⁄10
7) 5 + 8⁄10
8) 10 + 1 + 1⁄10 + 3⁄100
9) 200 + 60 + 3 + 7⁄10 + 3⁄100
10) 90 + 3 + 9⁄10
11) 4 + 7⁄10
12) 400 + 80 + 2 + 9⁄10
13) 500 + 90 + 2 + 2⁄10 + 1⁄100 +
2⁄1000
14) 800 + 30 + 9 + 1⁄10 + 6⁄100
15) 80 + 8 + 6⁄10 + 8⁄100
16) 800 + 20 + 4 + 7⁄10
17) 4 + 1⁄10
18) 7 + 1⁄10 + 7⁄100 +
6⁄1000
19) 200 + 20 + 8 + 8⁄10 + 9⁄100
20) 40 + 7 + 2⁄10 + 1⁄100
Ex. 73.77
1. 5.73
2. 153.54
3. 6.3
4. 91.7
5. 91.12
6. 56.5
7. 5.8
8. 11.13
9. 263.73
10. 93.9
11. 4.7
12. 482.9
13. 592.212
14. 839.16
15. 88.68
16. 824.7
17. 4.1
18. 7.176
19. 228.89
20. 47.21
Convert each problem to numeric form.Expanded Form to Numeric Form with Decimals
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Answers
1 1-10 93 87 80 73 67 60 53 47 40 3311-15 27 20 13 7 0
Ex) 391.675 3 × 100 + 9 × 10 + 1 + ( 6 × 1⁄10 ) + ( 7 × 1⁄100 ) + ( 5 ×
1⁄1000 )
1) 231.856 2 × 100 + 3 × 10 + 1 + ( 8 × 1⁄10 ) + ( 5 × 1⁄100 ) + ( 6 ×
1⁄1000 )
2) 3.611 3 + ( 6 × 1⁄10 ) + ( 1 × 1⁄100 ) + ( 1 ×
1⁄1000 )
3) 362.72 3 × 100 + 6 × 10 + 2 + ( 7 × 1⁄10 ) + ( 2 × 1⁄100 )
4) 79.564 7 × 10 + 9 + ( 5 × 1⁄10 ) + ( 6 × 1⁄100 ) + ( 4 ×
1⁄1000 )
5) 42.1 4 × 10 + 2 + ( 1 × 1⁄10 )
6) 6.145 6 + ( 1 × 1⁄10 ) + ( 4 × 1⁄100 ) + ( 5 ×
1⁄1000 )
7) 315.178 3 × 100 + 1 × 10 + 5 + ( 1 × 1⁄10 ) + ( 7 × 1⁄100 ) + ( 8 ×
1⁄1000 )
8) 3.3 3 + ( 3 × 1⁄10 )
9) 74.3 7 × 10 + 4 + ( 3 × 1⁄10 )
10) 747.4 7 × 100 + 4 × 10 + 7 + ( 4 × 1⁄10 )
11) 27.2 2 × 10 + 7 + ( 2 × 1⁄10 )
12) 2.37 2 + ( 3 × 1⁄10 ) + ( 7 × 1⁄100 )
13) 794.7 7 × 100 + 9 × 10 + 4 + ( 7 × 1⁄10 )
14) 39.857 3 × 10 + 9 + ( 8 × 1⁄10 ) + ( 5 × 1⁄100 ) + ( 7 ×
1⁄1000 )
15) 57.629 5 × 10 + 7 + ( 6 × 1⁄10 ) + ( 2 × 1⁄100 ) + ( 9 ×
1⁄1000 )
Convert each number to expanded notation.Numeric Form to Expanded Notation with Decimals
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Name:
1
3837
1-10 93 87 80 73 67 60 53 47 40 3311-15 27 20 13 7 0
Ex) 4.648 4 + 6⁄10 + 4⁄100 +
8⁄1000
1) 74.69 70 + 4 + 6⁄10 + 9⁄100
2) 64.4 60 + 4 + 4⁄10
3) 324.7 300 + 20 + 4 + 7⁄10
4) 867.234 800 + 60 + 7 + 2⁄10 + 3⁄100 +
4⁄1000
5) 745.148 700 + 40 + 5 + 1⁄10 + 4⁄100 +
8⁄1000
6) 683.641 600 + 80 + 3 + 6⁄10 + 4⁄100 +
1⁄1000
7) 16.19 10 + 6 + 1⁄10 + 9⁄100
8) 98.15 90 + 8 + 1⁄10 + 5⁄100
9) 316.13 300 + 10 + 6 + 1⁄10 + 3⁄100
10) 47.194 40 + 7 + 1⁄10 + 9⁄100 +
4⁄1000
11) 6.139 6 + 1⁄10 + 3⁄100 +
9⁄1000
12) 544.26 500 + 40 + 4 + 2⁄10 + 6⁄100
13) 68.6 60 + 8 + 6⁄10
14) 974.34 900 + 70 + 4 + 3⁄10 + 4⁄100
15) 637.6 600 + 30 + 7 + 6⁄10
Convert each number to expanded form.Numeric Form to Expanded Form with Decimals
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Name:
1 Math
Name:
www.CommonCoreSheets.com 1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
Ex) 73.273 seventy-three and two hundred seventy-three thousandths
1) 7.005 seven and five thousandths
2) 983.53 nine hundred eighty-three and fifty-three hundredths
3) 26.17 twenty-six and seventeen hundredths
4) 693.152 six hundred ninety-three and one hundred fifty-two thousandths
5) 525.048 five hundred twenty-five and forty-eight thousandths
6) 3.026 three and twenty-six thousandths
7) 8.638 eight and six hundred thirty-eight thousandths
8) 795.09 seven hundred ninety-five and nine hundredths
9) 751.221 seven hundred fifty-one and two hundred twenty-one thousandths
10) 4.445 four and four hundred forty-five thousandths
11) 67.03 sixty-seven and three hundredths
12) 5.838 five and eight hundred thirty-eight thousandths
13) 17.005 seventeen and five thousandths
14) 68.065 sixty-eight and sixty-five thousandths
15) 896.089 eight hundred ninety-six and eighty-nine thousandths
16) 123.76 one hundred twenty-three and seventy-six hundredths
17) 96.343 ninety-six and three hundred forty-three thousandths
18) 36.4 thirty-six and four tenths
19) 7.589 seven and five hundred eighty-nine thousandths
20) 38.3 thirty-eight and three tenths
Numeric Form to Word Form with DecimalsConvert each problem to word form.
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4039Math www.CommonCoreSheets.com
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Answers
1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
1) 6.81 > 6.37
2) 6.32 < 6.5
3) 2.216 > 2.149
4) 6.48 < 6.99
5) 5.75 = 5.750
6) 2.59 < 2.684
7) 8.538 > 8.122
8) 6.81 > 6.1
9) 4.2 = 4.2
10) 6.5 > 4.5
11) 5.44 < 5.57
12) 3.56 > 3.434
13) 7.84 = 7.840
14) 3.626 = 3.626
15) 9.9 > 9.7
16) 7.756 = 7.756
17) 9.7 < 9.924
18) 7.0 < 7.085
19) 3.42 < 4.42
20) 5.8 = 5.80
1. >
2. <
3. >
4. <
5. =
6. <
7. >
8. >
9. =
10. >
11. <
12. >
13. =
14. =
15. >
16. =
17. <
18. <
19. <
20. =
Comparing Decimals (Thousandths)Use '' or ' = ' to compare the numbers.
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1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0
Ex) A. 53 .783B . 53 .65C . 53D. 53 .063
1) A. 66 .08 7B . 67C . 66 .87D. 66 .6
2) A. 7 .67B . 7C . 7 .72D. 7 .38
3) A. 38 .48B . 38 .84C . 38 .126D. 38 .18
4) A. 9 .6B . 9 .48C . 9 .62D. 9 .608
5) A. 6 .81B . 7C . 6 .65D. 6 .967
6) A. 5B . 5 .3C . 5 .16 9D. 5 .121
7) A . 56 .42 5B . 57C . 56 .15D . 56 .69 3
8) A. 19 .608B . 19 .99C . 19 .54D. 20
9) A. 8 .403B . 8 .11C . 8 .31 1D. 8 .4
10) A. 5 .4B . 5C . 5 .599D. 5 .45
11) A. 4 .1B . 4C . 4 .3D . 4 .376
12) A. 9 .007B . 9 . 4 61C . 9 . 0 2D. 9 .05
13) A. 63 .366B . 63 .44C . 63 .415D. 63
14) A. 7 .718B . 7 .66C . 7D. 7 .98
15) A. 34 .76B . 34 .35C . 34 .03D. 34 .347
16) A. 6 .07B . 6 .98C . 6 .94D. 6 .978
17) A. 38 .51B . 38 .733C . 38 .7D . 38 .17
18) A. 5 .57B . 6C . 5 .533D. 5 .05
19) A. 42 .232B . 42 .493C . 42 .579D. 42
20) A. 4 .021B . 4 .559C . 4 .37D. 4
Ex. C,D,B,A
1. A,D,C,B
2. B,D,A,C
3. C,D,A,B
4. B,A,D,C
5. C,A,D,B
6. A,D,C,B
7. C,A,D,B
8. C,A,B,D
9. B,C,D,A
10. B,A,D,C
11. B,A,C,D
12. A,C,D,B
13. D,A,C,B
14. C,B,A,D
15. C,D,B,A
16. A,C,D,B
17. D,A,C,B
18. D,C,A,B
19. D,A,B,C
20. D,A,C,B
Ordering Decimal NumbersOrder the numbers from least to greatest.
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4241Math www.CommonCoreSheets.com
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Answers
1-10 11-20
95 90 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0
1) Round to the nearest tenth. 8.54 8.5
2) Round to the nearest whole number. 99.59 100
3) Round to the nearest tenth. 310.286 310.3
4) Round to the nearest whole number. 6.4 6
5) Round to the nearest whole number. 6.805 7
6) Round to the nearest tenth. 9.725 9.7
7) Round to the nearest hundredth. 118.380 118.38
8) Round to the nearest tenth. 90.69 90.7
9) Round to the nearest tenth. 65.85 65.9
10) Round to the nearest whole number. 70.59 71
11) Round to the nearest hundredth. 76.684 76.68
12) Round to the nearest hundredth. 815.755 815.76
13) Round to the nearest tenth. 877.71 877.7
14) Round to the nearest hundredth. 12.261 12.26
15) Round to the nearest whole number. 16.4 16
16) Round to the nearest whole number. 95.81 96
17) Round to the nearest hundredth. 2.408 2.41
18) Round to the nearest hundredth. 3.993 3.99
19) Round to the nearest whole number. 76.3 76
20) Round to the nearest hundredth. 716.514 716.51
1. 8.5
2. 100
3. 310.3
4. 6
5. 7
6. 9.7
7. 118.38
8. 90.7
9. 65.9
10. 71
11. 76.68
12. 815.76
13. 877.7
14. 12.26
15. 16
16. 96
17. 2.41
18. 3.99
19. 76
20. 716.51
Rounding DecimalsRound each number to the correct place value.
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1-10 11-20
95 90 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0
1) Round to the nearest whole number. 17.462 17
2) Round to the nearest tenth. 39.32 39.3
3) Round to the nearest whole number. 981.992 982
4) Round to the nearest hundredth. 487.362 487.36
5) Round to the nearest hundredth. 22.700 22.70
6) Round to the nearest whole number. 9.75 10
7) Round to the nearest tenth. 56.79 56.8
8) Round to the nearest whole number. 72.5 73
9) Round to the nearest tenth. 6.88 6.9
10) Round to the nearest whole number. 3.6 4
11) Round to the nearest whole number. 986.91 987
12) Round to the nearest hundredth. 159.410 159.41
13) Round to the nearest hundredth. 2.190 2.19
14) Round to the nearest hundredth. 58.139 58.14
15) Round to the nearest hundredth. 2.153 2.15
16) Round to the nearest hundredth. 10.886 10.89
17) Round to the nearest whole number. 4.5 5
18) Round to the nearest tenth. 11.430 11.4
19) Round to the nearest tenth. 54.75 54.8
20) Round to the nearest tenth. 467.723 467.7
1. 17
2. 39.3
3. 982
4. 487.36
5. 22.70
6. 10
7. 56.8
8. 73
9. 6.9
10. 4
11. 987
12. 159.41
13. 2.19
14. 58.14
15. 2.15
16. 10.89
17. 5
18. 11.4
19. 54.8
20. 467.7
Rounding DecimalsRound each number to the correct place value.
2
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