Lesson 1

Name __________________________________________

Multiplying by 6

You can multiply by 6. And you can use drawings or objects to help you.

Example

Images

Solve

Multiply. Use drawings or objects if you need help.

Images Images

Images 1 × 6 = ___________

Images 3 × 6 = ___________

Images 5 × 6 = ___________

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Images Baby giraffes are 6 feet tall. A zookeeper wants to measure 7 baby giraffes using a different piece of string each time. How many feet of string does she use?

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Images Emily plans to bring apples to share with her friends at school. She wants to give each of 6 friends 3 apples each. How many apples will Emily bring to school?

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Images Gabe earns money by helping his neighbors shovel snow. If he can shovel 2 sidewalks in an hour, how many sidewalks can he shovel working 6 hours in a day?

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Lesson 2

Name __________________________________________

Multiplying by 7

You can multiply by 7. You can use drawings or objects to help you.

Example

Images

Solve

Multiply. Use drawings or objects if you need help.

Images Images

Images 1 × 7 = ___________

Images 4 × 7 = ___________

Images 2 × 7 = ___________

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Images Why does it make sense that the product in Exercise 6 is greater than the product in Exercise 7?

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Images Steve walks his dog for 5 minutes every day. How many minutes does Steve walk his dog in 1 week?

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Images Steve decides to walk his dog for more time each day. He will begin walking his dog for 9 minutes every day. Now how many minutes will Steve walk his dog in 1 week?

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Lesson 3

Name __________________________________________

Multiplying by 8

You can multiply by 8. You can use drawings or objects to help you.

Example

Images

Solve

Multiply. Use drawings or objects if you need help.

Images Images

Images 2 × 8 = ___________

Images 4 × 8 = ___________

Images 7 × 8 = ___________

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Images Complete the 8s multiplication chart.

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Images Ms. Lybbert has 8 rose bushes in her garden. Each bush has 9 roses. How many roses does she have in all?

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Images Ms. Lybbert sells 2 of her rose bushes. How many roses does she have now?

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Lesson 4

Name __________________________________________

Multiplying by 9

You can multiply by 9. You can use drawings or objects to help you.

Example

Images

Solve

Multiply. Use drawings or objects if you need help.

Images Images

Images 3 × 9 = ___________

Images 8 × 9 = ___________

Images 1 × 9 = ___________

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Images Complete the 9s multiplication chart. Complete the sentences to tell what patterns you see in the answers.

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Images When you multiply a factor by 9, the two digits in the answers add up to ___________.

Images The factor multiplied by 9 is 1 ___________ than the digit in the tens place of the answer.

Lesson 5

Name __________________________________________

Multiplying by 10

You can multiply by 10. The product always has a 0 in the ones place.

Example

Here are some 10s multiplication facts:

Images

Solve

Multiply.

Images Images

Images 10 × 10 = ___________

Images 1 × 10 = ___________

Images 4 × 10 = ___________

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Images Carmen has 6 dimes. How many cents does she have? ___________

Lesson 6

Name __________________________________________

Multiplying by Multiples of 10

Example

You can multiply numbers by multiples of 10. Use what you know about place value.

Images

Solve

Multiply. Draw pictures or use objects if you need help.

Images Images

Images 5 × 50 = ___________

Images 8 × 30 = ___________

Images 2 × 40 = ___________

Images 7 × 60 = ___________

Images 1 × 90 = ___________

Images 6 × 20 = ___________

Images 0 × 80 = ___________

Images 6 × 40 = ___________

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Images Most people eat about 3 pounds of food every day. How many pounds of food would 70 people eat in one day?

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Lesson 7

Name __________________________________________

Grouping Numbers to Multiply

You can multiply three factors. Group the numbers first.

Examples

Images

Solve

Use ( ) to group the factors in two different ways. Find each product.

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Write the missing factor.

Images (5 × 1) × 8 = ___________ × (1 × 8)

Images 3 × (3 × 1) = (3 × ___________) × 1

Images (2 × 2) × 4 = 2 × (2 × ___________)

Images An octopus has 4 pairs of arms. How many arms do 3 octopuses have? Write a multiplication sentence with three factors using ( ). Then solve.

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Lesson 8

Name __________________________________________

Multiplying by Breaking Apart

Breaking a factor into smaller numbers can help you multiply.

Examples

Images

Solve

Write the missing numbers. Find each product.

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Images Taylor says 4 + 4 is the only way to break apart 8. Is she correct? If not, write three more ways.

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Lesson 9

Name __________________________________________

Table Patterns

A multiplication table can help you see patterns in numbers.

Example

The blue boxes show how to find 3 × 2 = 6.

Images

Solve

Look at the numbers. Complete these rows from the table. Write your answer in the box.

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Lesson 10

Name __________________________________________

Multiplying by 1–10

You can multiply by 1 through 10. There are different ways to find the same product.

Examples

Images

Solve

Multiply. If you need help, use drawings or objects, break the numbers apart, or use a number line.

Images Images

Images 6 × 10 = ___________

Images 8 × 8 = ___________

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Images Many apples have 5 seeds. There are 7 apples in a fruit bowl.
How many seeds do the apples have in all? ___________

Lesson 11

Name __________________________________________

Problem Solving

Pictures can provide information. Sometimes you need to use this information to solve a problem.

Example

Images

Solve

Use the picture to help you solve.

Images Mrs. Fields is buying raisins for 18 students. How many 3-packs should she buy so that each student gets 1 box? Multiply to solve. Images

Images Which pattern correctly describes the raisins? Circle it. Images

Lesson 12

Name __________________________________________

Problem Solving

Sometimes it takes more than one step to solve a problem.

Example

A farm has 9 ducks. The farm has 3 times more chickens than ducks.
How many more chickens than ducks are there?
Write an equation. Use a letter for the number you don’t know.

Images

Solve

Answer the hidden question. Then solve the problem.

Images Henry is making fruit cups for 4 people. Each person will get 2 cups. He has 24 cherries. He wants to share the cherries equally among the cups. How many cherries should he put in each fruit cup? Images

Images Latoya reads 5 pages of a book every day. The book has 45 pages. After 1 week, how many more pages are left to read?

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Images Six children belong to a reading club. Every month each child reads 6 books. But last month one of the children read 8 books. How many books did the reading club read last month?

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Chapter 6 Test

Multiply

Images 6 × 10 = ___________

Images 2 × 90 = ___________

Images 0 × 9 = ___________

Images 3 × 5 = ___________

Images 8 × 8 = ___________

Images 3 × 60 = ___________

Images 9 × 7 = ___________

Images 7 × 6 = ___________

Images 3 × 8 = ___________

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Images Each dance class has 6 students. There are 4 classes. How many dance students are there?

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Images Bruno says 2 × 9 = 28. How can you tell he made a mistake?

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Chapter 6 Test

Use ( ) to group the factors in two different ways. Then find each product.

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Images Find 7 × 8 by breaking apart 8. Use 5 as one of the addends. Show your work.

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Images Look at the rows and columns for 2 and 4. Why are the numbers even? Explain using what you know about patterns.

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Images This is part of the row for 9 in a multiplication table. Images

What number comes next in the row? How do you know?

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Images Latrell is making ladybugs based on a drawing in his science book. He uses 1 pipe cleaner for each leg. Every ladybug has 6 legs. How many ladybugs can he make if he has 30 pipe cleaners? Write a multiplication equation. Use a box for the unknown number. Then solve.

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Images Pedro stores 80 songs on his MP3 player. He listens to 2 different songs each day. How many songs are left for Pedro to listen to after 10 days? Write an equation using a letter for the number you don’t know. Then solve.

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