Lesson 13: Practice Problems

Problem 1

A student said, “To find the value of $109.2 \div 6$ , I can divide 1,092 by 60.”

Do you agree with this statement? Explain your reasoning.
Calculate the quotient of $109.2 \div 6$ using any method of your choice.

Problem 2

Here is how Han found $31.59 \div 13$ :

Han's long division solution to 31.59 divided by 13.

At the second step, Han subtracts 52 from 55. How do you know that these numbers represent tenths?
At the third step, Han subtracts 39 from 39. How do you know that these numbers represent hundredths?
Check that Han’s answer is correct by calculating the product of 2.43 and 13.

Problem 3

Write two division expressions that have the same value as $61.12 \div 3.2$ .
Find the value of $61.12 \div 3.2$ . Show your reasoning.

Problem 4

A bag of pennies weighs 5.1 kilogram. Each penny weighs 2.5 grams. About how many pennies are in the bag?

20
200
2,000
20,000

Problem 5 From Unit 5 Lesson 3

Find each difference. If you get stuck, consider drawing a diagram.

$2.5 - 1.6$
$0.72 - 0.4$
$11.3 - 1.75$
$73 - 1.3$

Problem 6 From Unit 4 Lesson 12

Plant B is $6 \frac{2}{3}$ inches tall. Plant C is $4 \frac{4}{15}$ inches tall. Complete the sentences and show your reasoning.

Plant C is times as tall as Plant B.
Plant C is inches (taller or shorter) than Plant B.

Problem 7 From Unit 3 Lesson 15

At a school, 460 of the students walk to school.

The number of students who take public transit is 20% of the number of students who walk. How many students take public transit?
The number of students who bike to school is 5% of the number of students who walk. How many students bike to school?
The number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus?