decimals
division
word problems
Decimal place value
Challenge
100

James bought 10 pencils from the 

school store and paid a total of $1.30. 

How much did each pencil cost? Write 

an equation to show your work. Explain 

how the decimal point moves.

Each pencil cost $0.13. 

$1.30 divided by 10 = $0.13. 

 The decimal point 

moves 1 place to the left.

100

A board is 10.17 feet long. Sandy needs 

to cut the board into 3 equal sections. 

How long will each section be? How 

many sections would be needed for each 

section of the 10.17-foot-long board to 

be 5.085 feet each? Write an equation to 

model your work.

3.39 feet; 

10.17 ÷ 3 = 3.39

2 sections; 

10.17 ÷ 5.085 = 2

100

A 4.8 mile trail is split into 3 equal parts. How long is each part?

4.8÷ 3=1.6 miles

100

what is the value of the 7 in 4.72

0.7 7 tenths

100

0.84÷ 0.2=

4.2

200

Over the course of 6 days, Tonda 

ran 17.22 miles. She ran the same 

distance each day. How far did Tonda 

run each day? Write an equation to 

show your work.

2.87 miles; 

17.22 ÷ 6 = 2.87

200

4.2÷ 6

7

200

A rope is 7.2 meters long.If each pieces is 0.8 meters, how many pieces can be cut

7.2÷ 0.8=9 pieces

200

What place is the 6 in 3.864

Hundredths 

200

15÷ 0.3

50

300

A panel in one of the hallways of Emilioa's 

school is rectangular with an area of 

44.52 square feet. If the panel is 21 feet 

long, how wide is it?

2.12

300

3.6÷ 0.9

4

300

$12.60 is split evenly between 6 friends.How much dose each friend get?

12.60÷ 6=$2.10

300

write 0.305 in expanded form

0.3+0.005

300

0.96÷ 0.12

8

400

Which division equation does the model 

Mizuki made represent?

0.92 ÷  4 = 0.23

400

6.48÷ 8

8.1

400

A baker uses 0.25 pounds of flour per batch. If she has 5 pounds,how many batches can she make.

5÷ 0.25=20 batches

400

7.2÷ 0.8=9 what is the divisor 

0.8

400

A car travels 12.5 miles using 0.5 gallons of gas. How many miles per gallon?

12.5÷ 0.5=25mpg

500

If 8 pounds of peanuts costs $12, how 

much does 1 pound of peanuts cost? Use 

the answer to find how much 10 pounds 

of peanuts will cost.

1 pound costs $1.50;

1.5 ÷ 10 = 15; $15 for 

10 pounds.

500

2.73÷ 3

9.1

500

A 9.6 gallon tank is filled using containers that hold 0.4 gallons each. How many containers are needed?

9.6÷ 0.4=24 containers

500

What happens to the decimal point when diving by 10

it moves one place to the left

500

In 4.8÷ 3=1.6 what is the divdend?

4.8

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