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Citation preview
2017 - 2018
SUMMER MATHEMATICS PROJECT
For ENTERING GRADE 6
This project will be due the first week of school and it will be graded These are
the concepts are expected to know coming into the 6th grade Students will be
tested on these concepts during the first few weeks of school Make sure that you
show all your work for each question You should complete the entire packet
without the use of a calculator No credit will be given to any question(s) you
answer without showing work Please use pencil only and remember
NO WORK = NO CREDIT
Name _______________________________________________________
2018-2019
Type your textType your text
2019-2020
Topics
1 Whole Number Operations
2 Order of Operations and Exponents
3 Prime Factorization
4 Simplifying Fractions
5 Improper Fractions and Mixed Numbers
6 Operations with Fractions
7 Decimals to Fractions
8 Decimal Operations
9 Ratios and Rates
Suggested websites to review these topics
httpwwwvirtualnerdcommiddle-mathall
httpfloridastudentsorg37|5|10282|0
httpswwwkhanacademyorgmath
httpwwwteachertubecom
httpmathisfuncom
Whole Number Operations
Add subtract multiply or divide
1) 2846 + 1635 2) 24592 + 46268
3) 776 ndash 498 4) 1904 ndash 625
5) 776 times 98 6) 376 times 18
7) 493 times 67 8) 588 divide 84
9) 1620 divide 36 10) 770 divide 28
Order of Operations and Exponents
11) Write in exponent form 12) Find the value
8 times 8 times 8 times 8 times 8 26
Simplify each expression by using the order of operations
13) 32 + 6 ndash 2 times 7 14) 20 divide 5 times 2 ndash (6 + 2) times 7
Prime Factorization
15) Identify all the prime numbers from the list
14 4 11 9 3 17 1
Find the prime factorization of each number Use exponents when applicable
16) 60 17) 125
18) 42
Simplifying Fractions
Write each fraction in simplest terms
19) 15
25 20)
35
42 21) 4
29
29
Improper Fractions and Mixed Numbers
Change the mixed numbers to improper fractions and the improper fractions to mixed numbers
22) 24
5 23) 6
11
17 24)
8
3 25)
132
11
Operations with Fractions
Add subtract or multiply Reduce to lowest terms
26) 7
16 +
3
16 27)
7
10 +
2
10 minus
8
10
28) 1
2 +
2
3 29)
2
3 minus
1
6
30) 5
6 +
1
4 31)
1
2 minus
1
5
32) 11
3 + 2
1
3 33) 2
2
3 minus
1
3
34) 10 minus 4 5
6 35) 5
1
4 + 3
5
8 + 2
1
2
36) 21
2 minus 1
3
4 37)
5
9 times
3
10
38) 3
16 times 8 39) 2
1
2 times 3
1
5
Decimals to Fractions
Write each decimal as a fraction Reduce to lowest terms
40) 08 41) 056
Decimal Operations
Add subtract or multiply
42) 9242 + 087 43) 3587 ndash 102
44) 404 ndash 637 45) 07 times 04
46) 012 times 06
FRACTION OPERATIONS
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH COMMON DENOMINATORS Add the numerators denominator stays the same
EXAMPLES
120784
120789+
120785
120789=
120787
120789
120789
120790minus
120786
120790=
120785
120790
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH DIFFERENT DENOMINATORS
Change to equivalent fractions with common denominators then add or subtract
EXAMPLES
120784
120785 +
120783
120786 =
120790
120783120784 +
120785
120783120784 =
120783120783
120783120784
120787
120788 -
120783
120784 =
120787
120788minus
120785
120788=
120784
120788=
120783
120785
MULTIPLY ldquoxrdquo Multiply the numerators multiply the denominators then simplify
EXAMPLE
120784
120785 119961
120787
120788=
120783120782
120783120790=
120787
120791
DIVIDE ldquodividerdquo
Change the problem to multiplication by inverting the second fraction then multiplying EXAMPLE
120784
120787 divide
120783
120784=
120784
120787 119961
120784
120783=
120786
120787
DECIMAL OPERATIONS
ADDITION SUBTRACTION Ex 172+004+0006
17200 0040
+ 0006 17246
Line up the decimal points Add zeroes as
placeholders Add or subtract the
numbers in columns Insert a decimal point in
the answer under the other decimal points
Ex 863-0263 8630
- 0263 8367
MULTIPLICATION Line up the numbers ignore the decimal
points and multiply Count the number of digits to the right of
the decimal points in the problem In the product count from right to left to
place the decimal point the total number of decimal places in the problem
2 digits to the right of the decimal point 604 1 digit to the right of the decimal point x 31
2+1=3 Place the decimal point 3 digits from the right 18724
DIVISION
Move the decimal point in the divisor to make a whole number
Move the decimal point in the dividend the same number of spaces to the right
Place the decimal point in the quotient directly above the decimal point in the dividend
Topics
1 Whole Number Operations
2 Order of Operations and Exponents
3 Prime Factorization
4 Simplifying Fractions
5 Improper Fractions and Mixed Numbers
6 Operations with Fractions
7 Decimals to Fractions
8 Decimal Operations
9 Ratios and Rates
Suggested websites to review these topics
httpwwwvirtualnerdcommiddle-mathall
httpfloridastudentsorg37|5|10282|0
httpswwwkhanacademyorgmath
httpwwwteachertubecom
httpmathisfuncom
Whole Number Operations
Add subtract multiply or divide
1) 2846 + 1635 2) 24592 + 46268
3) 776 ndash 498 4) 1904 ndash 625
5) 776 times 98 6) 376 times 18
7) 493 times 67 8) 588 divide 84
9) 1620 divide 36 10) 770 divide 28
Order of Operations and Exponents
11) Write in exponent form 12) Find the value
8 times 8 times 8 times 8 times 8 26
Simplify each expression by using the order of operations
13) 32 + 6 ndash 2 times 7 14) 20 divide 5 times 2 ndash (6 + 2) times 7
Prime Factorization
15) Identify all the prime numbers from the list
14 4 11 9 3 17 1
Find the prime factorization of each number Use exponents when applicable
16) 60 17) 125
18) 42
Simplifying Fractions
Write each fraction in simplest terms
19) 15
25 20)
35
42 21) 4
29
29
Improper Fractions and Mixed Numbers
Change the mixed numbers to improper fractions and the improper fractions to mixed numbers
22) 24
5 23) 6
11
17 24)
8
3 25)
132
11
Operations with Fractions
Add subtract or multiply Reduce to lowest terms
26) 7
16 +
3
16 27)
7
10 +
2
10 minus
8
10
28) 1
2 +
2
3 29)
2
3 minus
1
6
30) 5
6 +
1
4 31)
1
2 minus
1
5
32) 11
3 + 2
1
3 33) 2
2
3 minus
1
3
34) 10 minus 4 5
6 35) 5
1
4 + 3
5
8 + 2
1
2
36) 21
2 minus 1
3
4 37)
5
9 times
3
10
38) 3
16 times 8 39) 2
1
2 times 3
1
5
Decimals to Fractions
Write each decimal as a fraction Reduce to lowest terms
40) 08 41) 056
Decimal Operations
Add subtract or multiply
42) 9242 + 087 43) 3587 ndash 102
44) 404 ndash 637 45) 07 times 04
46) 012 times 06
FRACTION OPERATIONS
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH COMMON DENOMINATORS Add the numerators denominator stays the same
EXAMPLES
120784
120789+
120785
120789=
120787
120789
120789
120790minus
120786
120790=
120785
120790
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH DIFFERENT DENOMINATORS
Change to equivalent fractions with common denominators then add or subtract
EXAMPLES
120784
120785 +
120783
120786 =
120790
120783120784 +
120785
120783120784 =
120783120783
120783120784
120787
120788 -
120783
120784 =
120787
120788minus
120785
120788=
120784
120788=
120783
120785
MULTIPLY ldquoxrdquo Multiply the numerators multiply the denominators then simplify
EXAMPLE
120784
120785 119961
120787
120788=
120783120782
120783120790=
120787
120791
DIVIDE ldquodividerdquo
Change the problem to multiplication by inverting the second fraction then multiplying EXAMPLE
120784
120787 divide
120783
120784=
120784
120787 119961
120784
120783=
120786
120787
DECIMAL OPERATIONS
ADDITION SUBTRACTION Ex 172+004+0006
17200 0040
+ 0006 17246
Line up the decimal points Add zeroes as
placeholders Add or subtract the
numbers in columns Insert a decimal point in
the answer under the other decimal points
Ex 863-0263 8630
- 0263 8367
MULTIPLICATION Line up the numbers ignore the decimal
points and multiply Count the number of digits to the right of
the decimal points in the problem In the product count from right to left to
place the decimal point the total number of decimal places in the problem
2 digits to the right of the decimal point 604 1 digit to the right of the decimal point x 31
2+1=3 Place the decimal point 3 digits from the right 18724
DIVISION
Move the decimal point in the divisor to make a whole number
Move the decimal point in the dividend the same number of spaces to the right
Place the decimal point in the quotient directly above the decimal point in the dividend
Whole Number Operations
Add subtract multiply or divide
1) 2846 + 1635 2) 24592 + 46268
3) 776 ndash 498 4) 1904 ndash 625
5) 776 times 98 6) 376 times 18
7) 493 times 67 8) 588 divide 84
9) 1620 divide 36 10) 770 divide 28
Order of Operations and Exponents
11) Write in exponent form 12) Find the value
8 times 8 times 8 times 8 times 8 26
Simplify each expression by using the order of operations
13) 32 + 6 ndash 2 times 7 14) 20 divide 5 times 2 ndash (6 + 2) times 7
Prime Factorization
15) Identify all the prime numbers from the list
14 4 11 9 3 17 1
Find the prime factorization of each number Use exponents when applicable
16) 60 17) 125
18) 42
Simplifying Fractions
Write each fraction in simplest terms
19) 15
25 20)
35
42 21) 4
29
29
Improper Fractions and Mixed Numbers
Change the mixed numbers to improper fractions and the improper fractions to mixed numbers
22) 24
5 23) 6
11
17 24)
8
3 25)
132
11
Operations with Fractions
Add subtract or multiply Reduce to lowest terms
26) 7
16 +
3
16 27)
7
10 +
2
10 minus
8
10
28) 1
2 +
2
3 29)
2
3 minus
1
6
30) 5
6 +
1
4 31)
1
2 minus
1
5
32) 11
3 + 2
1
3 33) 2
2
3 minus
1
3
34) 10 minus 4 5
6 35) 5
1
4 + 3
5
8 + 2
1
2
36) 21
2 minus 1
3
4 37)
5
9 times
3
10
38) 3
16 times 8 39) 2
1
2 times 3
1
5
Decimals to Fractions
Write each decimal as a fraction Reduce to lowest terms
40) 08 41) 056
Decimal Operations
Add subtract or multiply
42) 9242 + 087 43) 3587 ndash 102
44) 404 ndash 637 45) 07 times 04
46) 012 times 06
FRACTION OPERATIONS
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH COMMON DENOMINATORS Add the numerators denominator stays the same
EXAMPLES
120784
120789+
120785
120789=
120787
120789
120789
120790minus
120786
120790=
120785
120790
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH DIFFERENT DENOMINATORS
Change to equivalent fractions with common denominators then add or subtract
EXAMPLES
120784
120785 +
120783
120786 =
120790
120783120784 +
120785
120783120784 =
120783120783
120783120784
120787
120788 -
120783
120784 =
120787
120788minus
120785
120788=
120784
120788=
120783
120785
MULTIPLY ldquoxrdquo Multiply the numerators multiply the denominators then simplify
EXAMPLE
120784
120785 119961
120787
120788=
120783120782
120783120790=
120787
120791
DIVIDE ldquodividerdquo
Change the problem to multiplication by inverting the second fraction then multiplying EXAMPLE
120784
120787 divide
120783
120784=
120784
120787 119961
120784
120783=
120786
120787
DECIMAL OPERATIONS
ADDITION SUBTRACTION Ex 172+004+0006
17200 0040
+ 0006 17246
Line up the decimal points Add zeroes as
placeholders Add or subtract the
numbers in columns Insert a decimal point in
the answer under the other decimal points
Ex 863-0263 8630
- 0263 8367
MULTIPLICATION Line up the numbers ignore the decimal
points and multiply Count the number of digits to the right of
the decimal points in the problem In the product count from right to left to
place the decimal point the total number of decimal places in the problem
2 digits to the right of the decimal point 604 1 digit to the right of the decimal point x 31
2+1=3 Place the decimal point 3 digits from the right 18724
DIVISION
Move the decimal point in the divisor to make a whole number
Move the decimal point in the dividend the same number of spaces to the right
Place the decimal point in the quotient directly above the decimal point in the dividend
Order of Operations and Exponents
11) Write in exponent form 12) Find the value
8 times 8 times 8 times 8 times 8 26
Simplify each expression by using the order of operations
13) 32 + 6 ndash 2 times 7 14) 20 divide 5 times 2 ndash (6 + 2) times 7
Prime Factorization
15) Identify all the prime numbers from the list
14 4 11 9 3 17 1
Find the prime factorization of each number Use exponents when applicable
16) 60 17) 125
18) 42
Simplifying Fractions
Write each fraction in simplest terms
19) 15
25 20)
35
42 21) 4
29
29
Improper Fractions and Mixed Numbers
Change the mixed numbers to improper fractions and the improper fractions to mixed numbers
22) 24
5 23) 6
11
17 24)
8
3 25)
132
11
Operations with Fractions
Add subtract or multiply Reduce to lowest terms
26) 7
16 +
3
16 27)
7
10 +
2
10 minus
8
10
28) 1
2 +
2
3 29)
2
3 minus
1
6
30) 5
6 +
1
4 31)
1
2 minus
1
5
32) 11
3 + 2
1
3 33) 2
2
3 minus
1
3
34) 10 minus 4 5
6 35) 5
1
4 + 3
5
8 + 2
1
2
36) 21
2 minus 1
3
4 37)
5
9 times
3
10
38) 3
16 times 8 39) 2
1
2 times 3
1
5
Decimals to Fractions
Write each decimal as a fraction Reduce to lowest terms
40) 08 41) 056
Decimal Operations
Add subtract or multiply
42) 9242 + 087 43) 3587 ndash 102
44) 404 ndash 637 45) 07 times 04
46) 012 times 06
FRACTION OPERATIONS
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH COMMON DENOMINATORS Add the numerators denominator stays the same
EXAMPLES
120784
120789+
120785
120789=
120787
120789
120789
120790minus
120786
120790=
120785
120790
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH DIFFERENT DENOMINATORS
Change to equivalent fractions with common denominators then add or subtract
EXAMPLES
120784
120785 +
120783
120786 =
120790
120783120784 +
120785
120783120784 =
120783120783
120783120784
120787
120788 -
120783
120784 =
120787
120788minus
120785
120788=
120784
120788=
120783
120785
MULTIPLY ldquoxrdquo Multiply the numerators multiply the denominators then simplify
EXAMPLE
120784
120785 119961
120787
120788=
120783120782
120783120790=
120787
120791
DIVIDE ldquodividerdquo
Change the problem to multiplication by inverting the second fraction then multiplying EXAMPLE
120784
120787 divide
120783
120784=
120784
120787 119961
120784
120783=
120786
120787
DECIMAL OPERATIONS
ADDITION SUBTRACTION Ex 172+004+0006
17200 0040
+ 0006 17246
Line up the decimal points Add zeroes as
placeholders Add or subtract the
numbers in columns Insert a decimal point in
the answer under the other decimal points
Ex 863-0263 8630
- 0263 8367
MULTIPLICATION Line up the numbers ignore the decimal
points and multiply Count the number of digits to the right of
the decimal points in the problem In the product count from right to left to
place the decimal point the total number of decimal places in the problem
2 digits to the right of the decimal point 604 1 digit to the right of the decimal point x 31
2+1=3 Place the decimal point 3 digits from the right 18724
DIVISION
Move the decimal point in the divisor to make a whole number
Move the decimal point in the dividend the same number of spaces to the right
Place the decimal point in the quotient directly above the decimal point in the dividend
Simplifying Fractions
Write each fraction in simplest terms
19) 15
25 20)
35
42 21) 4
29
29
Improper Fractions and Mixed Numbers
Change the mixed numbers to improper fractions and the improper fractions to mixed numbers
22) 24
5 23) 6
11
17 24)
8
3 25)
132
11
Operations with Fractions
Add subtract or multiply Reduce to lowest terms
26) 7
16 +
3
16 27)
7
10 +
2
10 minus
8
10
28) 1
2 +
2
3 29)
2
3 minus
1
6
30) 5
6 +
1
4 31)
1
2 minus
1
5
32) 11
3 + 2
1
3 33) 2
2
3 minus
1
3
34) 10 minus 4 5
6 35) 5
1
4 + 3
5
8 + 2
1
2
36) 21
2 minus 1
3
4 37)
5
9 times
3
10
38) 3
16 times 8 39) 2
1
2 times 3
1
5
Decimals to Fractions
Write each decimal as a fraction Reduce to lowest terms
40) 08 41) 056
Decimal Operations
Add subtract or multiply
42) 9242 + 087 43) 3587 ndash 102
44) 404 ndash 637 45) 07 times 04
46) 012 times 06
FRACTION OPERATIONS
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH COMMON DENOMINATORS Add the numerators denominator stays the same
EXAMPLES
120784
120789+
120785
120789=
120787
120789
120789
120790minus
120786
120790=
120785
120790
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH DIFFERENT DENOMINATORS
Change to equivalent fractions with common denominators then add or subtract
EXAMPLES
120784
120785 +
120783
120786 =
120790
120783120784 +
120785
120783120784 =
120783120783
120783120784
120787
120788 -
120783
120784 =
120787
120788minus
120785
120788=
120784
120788=
120783
120785
MULTIPLY ldquoxrdquo Multiply the numerators multiply the denominators then simplify
EXAMPLE
120784
120785 119961
120787
120788=
120783120782
120783120790=
120787
120791
DIVIDE ldquodividerdquo
Change the problem to multiplication by inverting the second fraction then multiplying EXAMPLE
120784
120787 divide
120783
120784=
120784
120787 119961
120784
120783=
120786
120787
DECIMAL OPERATIONS
ADDITION SUBTRACTION Ex 172+004+0006
17200 0040
+ 0006 17246
Line up the decimal points Add zeroes as
placeholders Add or subtract the
numbers in columns Insert a decimal point in
the answer under the other decimal points
Ex 863-0263 8630
- 0263 8367
MULTIPLICATION Line up the numbers ignore the decimal
points and multiply Count the number of digits to the right of
the decimal points in the problem In the product count from right to left to
place the decimal point the total number of decimal places in the problem
2 digits to the right of the decimal point 604 1 digit to the right of the decimal point x 31
2+1=3 Place the decimal point 3 digits from the right 18724
DIVISION
Move the decimal point in the divisor to make a whole number
Move the decimal point in the dividend the same number of spaces to the right
Place the decimal point in the quotient directly above the decimal point in the dividend
32) 11
3 + 2
1
3 33) 2
2
3 minus
1
3
34) 10 minus 4 5
6 35) 5
1
4 + 3
5
8 + 2
1
2
36) 21
2 minus 1
3
4 37)
5
9 times
3
10
38) 3
16 times 8 39) 2
1
2 times 3
1
5
Decimals to Fractions
Write each decimal as a fraction Reduce to lowest terms
40) 08 41) 056
Decimal Operations
Add subtract or multiply
42) 9242 + 087 43) 3587 ndash 102
44) 404 ndash 637 45) 07 times 04
46) 012 times 06
FRACTION OPERATIONS
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH COMMON DENOMINATORS Add the numerators denominator stays the same
EXAMPLES
120784
120789+
120785
120789=
120787
120789
120789
120790minus
120786
120790=
120785
120790
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH DIFFERENT DENOMINATORS
Change to equivalent fractions with common denominators then add or subtract
EXAMPLES
120784
120785 +
120783
120786 =
120790
120783120784 +
120785
120783120784 =
120783120783
120783120784
120787
120788 -
120783
120784 =
120787
120788minus
120785
120788=
120784
120788=
120783
120785
MULTIPLY ldquoxrdquo Multiply the numerators multiply the denominators then simplify
EXAMPLE
120784
120785 119961
120787
120788=
120783120782
120783120790=
120787
120791
DIVIDE ldquodividerdquo
Change the problem to multiplication by inverting the second fraction then multiplying EXAMPLE
120784
120787 divide
120783
120784=
120784
120787 119961
120784
120783=
120786
120787
DECIMAL OPERATIONS
ADDITION SUBTRACTION Ex 172+004+0006
17200 0040
+ 0006 17246
Line up the decimal points Add zeroes as
placeholders Add or subtract the
numbers in columns Insert a decimal point in
the answer under the other decimal points
Ex 863-0263 8630
- 0263 8367
MULTIPLICATION Line up the numbers ignore the decimal
points and multiply Count the number of digits to the right of
the decimal points in the problem In the product count from right to left to
place the decimal point the total number of decimal places in the problem
2 digits to the right of the decimal point 604 1 digit to the right of the decimal point x 31
2+1=3 Place the decimal point 3 digits from the right 18724
DIVISION
Move the decimal point in the divisor to make a whole number
Move the decimal point in the dividend the same number of spaces to the right
Place the decimal point in the quotient directly above the decimal point in the dividend
Decimals to Fractions
Write each decimal as a fraction Reduce to lowest terms
40) 08 41) 056
Decimal Operations
Add subtract or multiply
42) 9242 + 087 43) 3587 ndash 102
44) 404 ndash 637 45) 07 times 04
46) 012 times 06
FRACTION OPERATIONS
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH COMMON DENOMINATORS Add the numerators denominator stays the same
EXAMPLES
120784
120789+
120785
120789=
120787
120789
120789
120790minus
120786
120790=
120785
120790
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH DIFFERENT DENOMINATORS
Change to equivalent fractions with common denominators then add or subtract
EXAMPLES
120784
120785 +
120783
120786 =
120790
120783120784 +
120785
120783120784 =
120783120783
120783120784
120787
120788 -
120783
120784 =
120787
120788minus
120785
120788=
120784
120788=
120783
120785
MULTIPLY ldquoxrdquo Multiply the numerators multiply the denominators then simplify
EXAMPLE
120784
120785 119961
120787
120788=
120783120782
120783120790=
120787
120791
DIVIDE ldquodividerdquo
Change the problem to multiplication by inverting the second fraction then multiplying EXAMPLE
120784
120787 divide
120783
120784=
120784
120787 119961
120784
120783=
120786
120787
DECIMAL OPERATIONS
ADDITION SUBTRACTION Ex 172+004+0006
17200 0040
+ 0006 17246
Line up the decimal points Add zeroes as
placeholders Add or subtract the
numbers in columns Insert a decimal point in
the answer under the other decimal points
Ex 863-0263 8630
- 0263 8367
MULTIPLICATION Line up the numbers ignore the decimal
points and multiply Count the number of digits to the right of
the decimal points in the problem In the product count from right to left to
place the decimal point the total number of decimal places in the problem
2 digits to the right of the decimal point 604 1 digit to the right of the decimal point x 31
2+1=3 Place the decimal point 3 digits from the right 18724
DIVISION
Move the decimal point in the divisor to make a whole number
Move the decimal point in the dividend the same number of spaces to the right
Place the decimal point in the quotient directly above the decimal point in the dividend
FRACTION OPERATIONS
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH COMMON DENOMINATORS Add the numerators denominator stays the same
EXAMPLES
120784
120789+
120785
120789=
120787
120789
120789
120790minus
120786
120790=
120785
120790
ADD OR SUBTRACT ldquo+ OR ndashldquo WITH DIFFERENT DENOMINATORS
Change to equivalent fractions with common denominators then add or subtract
EXAMPLES
120784
120785 +
120783
120786 =
120790
120783120784 +
120785
120783120784 =
120783120783
120783120784
120787
120788 -
120783
120784 =
120787
120788minus
120785
120788=
120784
120788=
120783
120785
MULTIPLY ldquoxrdquo Multiply the numerators multiply the denominators then simplify
EXAMPLE
120784
120785 119961
120787
120788=
120783120782
120783120790=
120787
120791
DIVIDE ldquodividerdquo
Change the problem to multiplication by inverting the second fraction then multiplying EXAMPLE
120784
120787 divide
120783
120784=
120784
120787 119961
120784
120783=
120786
120787
DECIMAL OPERATIONS
ADDITION SUBTRACTION Ex 172+004+0006
17200 0040
+ 0006 17246
Line up the decimal points Add zeroes as
placeholders Add or subtract the
numbers in columns Insert a decimal point in
the answer under the other decimal points
Ex 863-0263 8630
- 0263 8367
MULTIPLICATION Line up the numbers ignore the decimal
points and multiply Count the number of digits to the right of
the decimal points in the problem In the product count from right to left to
place the decimal point the total number of decimal places in the problem
2 digits to the right of the decimal point 604 1 digit to the right of the decimal point x 31
2+1=3 Place the decimal point 3 digits from the right 18724
DIVISION
Move the decimal point in the divisor to make a whole number
Move the decimal point in the dividend the same number of spaces to the right
Place the decimal point in the quotient directly above the decimal point in the dividend
DECIMAL OPERATIONS
ADDITION SUBTRACTION Ex 172+004+0006
17200 0040
+ 0006 17246
Line up the decimal points Add zeroes as
placeholders Add or subtract the
numbers in columns Insert a decimal point in
the answer under the other decimal points
Ex 863-0263 8630
- 0263 8367
MULTIPLICATION Line up the numbers ignore the decimal
points and multiply Count the number of digits to the right of
the decimal points in the problem In the product count from right to left to
place the decimal point the total number of decimal places in the problem
2 digits to the right of the decimal point 604 1 digit to the right of the decimal point x 31
2+1=3 Place the decimal point 3 digits from the right 18724
DIVISION
Move the decimal point in the divisor to make a whole number
Move the decimal point in the dividend the same number of spaces to the right
Place the decimal point in the quotient directly above the decimal point in the dividend
