Patterns with Multiples of 10, 100, and 1,000 - LPSwp.lps.org/jbirdsa/files/2011/07/Chapter-7-Math-Homework.pdf · Patterns with Multiples of 10, 100, and 1,000 ... Multiply Two-Digit

Name: ___________________________________ Date:_________________

© Lincoln Public Schools, 2013 4th Grade Math

Patterns with Multiples of 10, 100, and 1,000 Practice to review… I can use basic facts and mental math to multiply!

I can find the product of 40×60 I know that 40×6 = _______ because 4×6 = _____

I know that 60 is equivalent to 6 tens So 40×6 tens = _______ tens

so 40×60 = 40×6 tens 40×60 = ____________

I can also find the product of 40×600

I know that 600 is equivalent to 6 hundreds So 40×6 hundreds = _______ hundreds

so 40×600 = 40×6 hundreds 40×600 = ____________

Practice to remember… Use basic facts and patterns to find each product.

1. 5,000 × 50 2. 5 × 50 3. 50 × 50 4. 50 × 500

_________ _________ _________ _________

5. 90 × 4,000 6. 900 × 40 7. 9 × 40 8. 40 × 90

_________ _________ _________ _________

Compare. Choose >, <, or = for each .

9. 20 × 90 1,800 10. 70 × 800 50,000

Solve. Use pictures, numbers, or words to show how you know.

11. The school sold 200 books each day for 10 days. How many books did the school sell?

Chapter 7 Multiply Two-Digit Numbers

HW 7.1

THINK

THINK

Name: ___________________________________ Date:_________________


Remembering Practice for fluency… Find each product.

12. 6 × 300 13. 4,000 × 3

a. 1,800 a. 4,003

b. 900 b. 12,000

c. 180 c. 21,000

d. 6,300 d. 1,200

Complete each equation. Compare. Choose >, <, or = for each .

14. 4×5 = _______ 16. 6 × 8 9 × 5

15. _______×5 = 0 17. 100 ÷ 10 63 ÷ 9


18. Last year, 317 tickets were sold for the baseball game during Kindness Week. Twice as many tickets were sold this year as last year. About how many tickets to the baseball game were sold this year?

19. Mary bought a set of watercolor paints. The set cost $14.37. If she paid with a twenty-dollar bill, about how much change should she get back?


RE 7.1

Name: ___________________________________ Date:_________________


Estimate Products Practice to review… I can use basic facts and mental math to estimate! I can estimate the product of 12×586

Step 1 Round each factor: 12 × 586 is about is about

€

↓

€

↓

Step 2 Use mental math to estimate: _________ × _________

12×586 is about ______________

Practice to remember… Estimate the product by rounding each factor to its greatest place.

1. 21× 13 2. 38× 19 3. 208× 32 4. 392× 47

_________ _________ _________ _________

5.

€

17

× 21 6.

€

108

× 91 7.

€

301

× 66 8.

€

8,888

× 22

9. It takes Earth 365 days to make 1 complete trip around the sun. About how many days will it take the Earth to travel around the sun 6 times? Show how you know.


HW 7.2

THINK What basic

fact wil l help?

Name: ___________________________________ Date:_________________


Remembering Practice for fluency… 10. Which is in order from greatest to least? 11. Which is in order from least to greatest?

a. 294,360 294,036 249,360 a. 492,604 429,406 429,604

b. 50,402 54,020 54,002 b. 102,349 120,349 120,934

c. 102,349 102,394 120,349 c. 504,372 540,372 500,372

d. 91,367 91,637 90,736 d. 987,042 987,024 978,042

Add. Check by estimating.

12.

€

632

+ 89

13.

€

984

+ 628

14.

€

752

+ 495

15.

€

2,485

+ 2,467


16. There are three classes of fourth graders at Mason School. There are 24 students in each class. How many fourth-graders attend Mason school? Show how you know.

17. I am a four-digit number. When rounded to the nearest thousand, I round to 2,000. When rounded to the nearest hundred, I round to 2,400. What number could I be? Show how you know.


RE 7.2

Name: ___________________________________ Date: _________________



HW 7.3 Model Multiplication

Practice to review… I can use models to multiply two 2-digit numbers! I can model the product of 15×12. Step 1 Model 15 rows of 12 (OR 12 rows of 15)

Step 2 Break the model into sections that are easier to multiply.

There can be more than one way!

15×12== (_____+_____)×(_____+_____) 15×12== 15×(_____+_____)

Step 3 Find the partial products and add to find the total product.

15×12== (_____×_____)+ (_____×_____)+

(_____×_____)+ (_____×_____)

15×12== ______ + ______ + ______ + ______

15×12== __________

15×12== (_____×_____)+

(_____×_____)

15×12== ______ + ______

15×12== __________

Practice to remember… Tell what multiplication sentence is shown by the model. Then find the product.

1.

2.

_______________________ _______________________

Name: ___________________________________ Date: _________________



RE 7.3 Practice to remember, continued…

Use the grid to model the multiplication sentence. Then find the product.

3. 6× 22 == __________ 4. 25× 23 == __________

Remembering Practice for fluency… 5. The tallest peak of the Appalachian

Mountains is Mount Mitchell at 6,684 feet. How high is that to the nearest hundred feet?

6. The highest mountain is Mt. Everest in Nepal. It has a height of 29,035 feet. How high is that to the nearest thousand feet?

a. 6,000 b. 6,700 a. 29,000 b. 29,100

c. 6,600 d. 7,000 c. 29,040 d. 30,000


7. I am a four-digit number. When rounded to the nearest thousand, I round to 2,000. When rounded to the nearest hundred, I round to 2,400. What number could I be? Show how you know.

Name: ___________________________________ Date:_________________


Multiply 2 Two-Digit Numbers Practice to review… I can use The Distributive Property of Multiplication! I can use different strategies to find the product of 16 x 13. Expanded Method

€

16×13 = 10+( )× 10+( )16×13 = ( × )+ (10× )+ ( ×10)+ (6×3)16×13 = + + +

16×13 =

Regrouping

Show All Products

€

16

× 13

€

16

× 13

3×6← ⎯ ⎯ ⎯ 3×10← ⎯ ⎯ ⎯ 10×6← ⎯ ⎯ ⎯

+ 10×10← ⎯ ⎯ ⎯

Practice to remember… Multiply. Show your work.

1.

€

33×13

__________

2.

€

17×29

__________

3.

€

81

× 24

4.

€

39

× 12


HW 7.4A

THINK

Name: ___________________________________ Date:_________________


Practice to remember, continued… Use the Associative Property of Multiplication to find each product.

5.

€

33 × 30 = 33 × ×10( )33 × 30 = ( × 3) ×33 × 30 = ×

33 × 30 =

6.

€

20 × 44 = 10 ×( ) ×20 × 44 = × ( × )20 × 44 = ×

20 × 44 =

Remembering Practice for fluency… Match each expression in the left column with an equivalent expression from the right column.

7.

€

56 × 23 _______

8.

€

27 ×18 _______

9.

€

24 × 32 _______

10.

€

25 ×13 _______ Solve. Use pictures, numbers, or words to show how you know.

11. Jen has 47 stickers. She wants to give an equal number of stickers to each of her 5 cousins. How many stickers will she give each cousin, and how many stickers will be left over? Show how you know.

12. Lorelei printed programs for the concert. She ordered 4 boxes of programs. If there were 300 programs in each box, how many programs did she order? Show how you know.


RE 7.4A

Name: ___________________________________ Date: _________________



HW 7.4B Multiply 2 Two-Digit Numbers

Practice to review… I can use The Distributive Property of Multiplication! I can use different strategies to find the product of 15 x 13. Expanded Method

15 ×13 = 10 +( ) × 10 +( )15 ×13 = ( × ) + (10 × ) + ( ×10) + (5 × 3)15 ×13 = + + +

15 ×13 =

Regrouping

Show All Products

15

× 13

15

× 13

3×5← ⎯ ⎯ ⎯ 3×10← ⎯ ⎯ ⎯ 10×5← ⎯ ⎯ ⎯

+ 10×10← ⎯ ⎯ ⎯

Practice to remember… Multiply. Show your work.

1.

76 × 51

__________

2.

23 × 80

__________

3.

31

× 16

4.

24

× 32

THINK

Name: ___________________________________ Date: _________________



RE 7.4B Practice to remember, continued…

Use the Associative Property to multiply. Show your thinking.

5.

15 × 70 = 6.

90 × 55 =

Remembering Practice for fluency… 7. Let n represent the number of relatives in

Georgia’s family. Which expression represents 3 more relatives than the number in Georgia’s family?

8. Evaluate the expression. Let c == 9 7c

a. n ++ 3 a. 2

b. n -- 3 b. 16

c. 3n c. 36

d. n ÷÷ 3 d. 63

Solve.

9. 4 ÷÷ ____ == 1 R 1 10. 51 ÷÷ ____ == 5 R 6

11. ____ ÷÷ 4 == 7 R 3

12. ____ ÷÷ 2 == 5 R 1


13. Neptune has a diameter of about forty-nine thousand, five hundred kilometers. Uranus has a diameter of about fifty-one thousand, one hundred kilometers. Which diameter is greater? Explain how you know.

Name: ___________________________________ Date:_________________


Reasonable Answers Practice to review… I can decide if answers are reasonable! I can reason about my results when I solve problems with words.

For English class, Jennifer needs to read a series of books. She decides to read 15 pages each day. She multiplied by 14 to find how many pages she will read in 2 weeks. She determines that she will read 75 pages in 2 weeks.

Does Jennifer’s result make sense?

UNDERSTAND This story is about __________________________________________________________.

PLAN I know for sure that Jennifer will read _________ pages each day.

I also know that she will read for _________ days (because there are _________ days in 2 wks).

Think about the story. Did multiplication make sense to solve the problem? What other operations or strategies can we use to check Jennifer’s thinking?

SOLVE Choose a way to check Jennifer’s thinking.

Show the strategy here.

Does read 75 pages in 2 weeks make sense?

Why?

LOOK BACK Let’s check… Look back at Jennifer’s reasoning. What caused the unreasonable result? What can Jennifer do to make sure she notices when her results are unreasonable?

Practice to remember… Solve. Be sure your answer is reasonable. Use pictures, numbers, or words to show how you know.

1. The teacher assigned the class to read 25 pages a week. There are 12 weeks in a school year. How many pages will the students read in a school year? Show how you know.


HW 7.5

Name: ___________________________________ Date:_________________


Practice to remember, continued… Solve. Be sure your answer is reasonable. Use pictures, numbers, or words to show how you know. 2. Suppose a spider can produce an egg sac that has 200 eggs each month. How many eggs

could a spider lay in one year? Show how you know.

Remembering Practice for fluency… 3. What statement is true?

a. 15×18 = 150+ 18 b. 15×18 = 150+ (15×8)

c. 15×18 = 150+ (15×18) d. 15×18 = 150×(15×8)

Multiply. Use the Associative Property.

4.

€

23 × 50 = 5.

€

38 × 30 =

Find each value of n.

6.

€

11× 6 = (10 × n) + (1× 6)

n =

7.

€

80 × n = 320

n =


8. Ben is thinking of an odd number. If you add all of its digits, the sum is 9. The number is also a multiple of 5. What could Ben’s number be? Show how you know.


RE 7.5

Documents

Patterns with Multiples of 10, 100, and 1,000 - LPSwp.lps.org/jbirdsa/files/2011/07/Chapter-7-Math-Homework.pdf · Patterns with Multiples of 10, 100, and 1,000 ... Multiply Two-Digit