Multiplying and Dividing Decimals and Word Problems

Two factors are multiplied, and their product is 8964.36. One factor is a whole number. How many decimals places are in the other factor? Tell how you know.

The other factor has ​ (a)   decimal place(s) because the number of decimal places in the product is the ​ (b)   the number of decimals places in the factors.

• 2

• sum of

• 3

• 4

• 5

• 6

• difference of

• quotient of

• product of

Write a number sentence that illustrates the following. A number with two decimal places multiplied by a number with one decimal place. The product has only two nonzero digits.

Calculate
5.75÷0.25

• 0.23

• 2.3

• 2.03

• 23

Calculate
7.8÷0.03

• 2.6

• 26

• 260

• .26

2.943 ÷ 2.7

• 109

• 10.9

• 1.09

To solve the problem, Ms. Parker must move the decimal point in the ​ (a)   to the ​ (b)   to get a whole number. This is the same as multiplying by ​ (c)   , so she should also move the decimal point in the ​ (d)   . The correct quotient is ​ (e)   .

• divisor

• number

• right

• 100

• 10

• 1000

• dividend

• 13

• 1.3

• 0.0013

Kevin Hart's son is saving money to buy a new shirt that costs $153.66, including tax. He does a talent show at his middle school to earn some money. He charged $9.85 per ticket. Determine whether Kevin Hart's son could use each expression to find the number of tickets he will have to sell to earn enough money to buy the shirt. Organize these options into the right categories:

Groups:

(a) Yes

,

(b) No

• too few places to the left

• too many places to the right

• 2

• 1

• one more place to the  left

• one more place to the right

• three more places to the left

• too many places to the left

• too few places to the right

• 3

Use the correct vocabulary to complete the picture.

g

e

f

product

difference

addend 1

sum

dividend

term 2

factor 1

quotient

divisor

factor 2

1.8 ÷ 6

• 0.6

• 3

• 0.3

• 0.96