Multiplying Whole Numbers
Use Powers of 10
Multiply Decimals
Justify Reasonableness of Products
Word Problems
100

Multiply. Show your work.

78 x 6 

468

100

Write 10in repeated multiplication and find the value.

10 x 10 x 10

1,000

100

Choose an equivalent expression.

7.4 x 1,000 = 

a. 0.074                   b. 740 

c. 0.74                     d. 7,400

7.4 x 1,000 = d. 7,400

100

Choose the closest estimate (without computing the actual product).

8,231 x 5

a. 40,000            b. 45,000

c. 35,000            d. 30,000

8,231 x 5 is about a. 40,000

100

Josphina saves $27 each week in January. She estimated that she will have have saved more than $100 in 4 weeks. Is Josphina's estimate reasonable? Explain how you can know without finding the actual amount. (You can find the actual amount if you need)

Josphina would save more than $100 in 4 weeks. If I estimate $27 to $30 and multiply by that by 4 weeks I would get $120 which over $100. 

200

Multiply. Show your work.

6,718 x 4 =

26,872

200

Write the exponential form and find the value for:

10 x 10 x 10 x 10 

104  = 10,000 = 10 x 10 x 10 x10

200

Choose an equivalent expression.

0.65 x 10 =

a. 6.5                   b. 65 

c. 0.650               d. 0.065

0.65 x 10 = a. 6.5 

200

Choose the closest estimate (without computing the actual product).

7,188 x 2

a. 12,000            b. 16,000

c. 14,000            d. 20,000

7,188 x 2 is about c. 14,000

200

A zebra weighs 774 pounds. A Grizzle Bear weighs 0.14 times as much as the zebra. Does the zebra or grizzle bear weigh more? Explain how you know without finding the actual weight of the Grizzle Bear.

The zebra will weigh more. I know this because I would multiply the weight of the zebra 774 lbs by 0.14. I know if I did multiply these it would be smaller than 774 lbs because 0.14 is less than 1. 

300

Multiply. Show your work.

9,276 x 8 

74,208

300

Write the exponential form and repeated multiplication for 100

102 = 10 x 10 = 100

300

Choose an equivalent expression.   7 x 0.6 = 

a. 0.6 x 0.6 x 0.6 x 0.6 x 0.6 x 0.6 x 0.6               

b. 7 x 6 

c. 7 x 6 x 0.1 x 10 

d. 7 x 6 x 0.1

7 x 0.6 = d. 7 x 6 x 0.1

300

When you multiply 47.5 by 0.1, is the product greater than or less than 47.5? Explain.

The product (answer) will be less because you are multiplying by a decimal that is less than one.

**remember when we multiply by fractions our answers get smaller. 

300

Heath weighs 28 pounds.  Brooks weighs 3.4 times as much as Heath.  Does Heath or Brooks weigh more? Explain how you know without actually finding the weight of Bruno.

Brooks would weigh more. I know this because if I did multiply 28 by 3.4 it would be greater than 28. The number 3.4 is greater than 1 whole. 

400

Multiply. Show your work.

93 x 17 = 

1,581

400

Write each product.

 8 x 102 =

 6 x 103 =

1. 8 x 102 = 800

1. 6 x 103 =6,000


400

Choose an equivalent expression.   3 x 0.09 = 

a. 3 x 9 x 100          

b. 3 x 9 x 0.1

c. 3 x 9 x 0.01

d. 0.9 x 0.9 x 0.9 

 3 x 0.09 = c. 3 x 9 x 0.01

400

When you multiply 8.17 by 0.01, is the product greater than or less than 8.17? Explain.

The product will be less than because you are multiplying a whole number by a decimal that is less than one.

400

Explain how you could use equivalent fractions or repeated addition to find the product of  0.7 x 4

0.7 + 0.7 + 0.7 + 0.7

500

Multiply. Show your work.

84 x 49 = 

4,116

500

Write each product. 

60 x 0.1 = 

72 x 0.01 =

1. 60 x 0.1 = 6 

2. 72 x 0.01 =0.72 

500

The product 83 x 26 = 2,158. Complete the equations to show how you can use powers of ten to find the product of 83 x 0.26.

83 x 0.26 = 83 x (26 x ____)

83 x 0.26 = 2,158 x _____

83 x 0.26 = _____

83 x 0.26 = 83 x (26 x .01)

83 x 0.26 = 2,158 x 0.01

83 x 0.26 = 21.58

500

Select each expression that is equivalent to 3 x 10 x 10 x 10.

a. 3 x 1,000             b. 300 x 10              c. 3 x 102

d. 30 x 102              e. 3 x (3 x 10)          f. 3 x 103

Select each expression that is equivalent to 3 x 10 x 10 x 10.

a. 3 x 1,000  

b. 300 x 10  

d. 30 x 102    

f. 3 x 103 

500

Explain how you could use equivalent fractions or repeated addition to find the product of  4 x 0.5

0.5 + 0.5 + 0.5 + 0.5

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