Lesson 13: Dividing Decimals by Decimals | Unit 5: Arithmetic in Base Ten

Open Ended

A student said, “To find the value of $$109.2 \div 6$$ , I can divide 1,092 by 60.” Do you agree with her? Explain your reasoning.

Multiple Choice

What is the quotient of $$109.2 \div 6$$ ?

• 17.5
• 19.0
• 18.2
• 20.3

Multiple Choice

At the second step, Han subtracts 52 from 55. How do you know that these numbers represent tenths?

• The numbers represent tenths because they are both whole numbers.
• The numbers represent tenths because they are both greater than 50.
• The numbers represent tenths because they are part of a fraction.
• The numbers represent tenths because they can be expressed as decimals (5.5 and 5.2).

Multiple Choice

At the third step, Han subtracts 39 from 39. How do you know that these numbers represent hundredths?

• The numbers are in the thousands place due to their size.
• The numbers are whole numbers without decimals.
• The numbers are fractions that do not relate to decimals.
• The numbers are in the hundredths place due to their position relative to the decimal point.

Multiple Choice

What is the capital of France?

• Madrid
• Paris
• Berlin
• Rome

Multiple Choice

Which of the following pairs of division expressions have the same value as $$61.12 \div 3.2$$ ?

• (61.12 ÷ 32) and (611.2 ÷ 3.2)
• (6.112 ÷ 0.32) and (611.2 ÷ 3.2)
• (61.12 ÷ 3.2) and (611.2 ÷ 32) or (6112 ÷ 320)
• (611.2 ÷ 3.2) and (61.12 ÷ 0.32)

Open Ended

Find the value of $$61.12 \div 3.2$$ . Show your reasoning.

Multiple Choice

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

• 20

• 200

• 2,000

• 20,000

Open Ended

Find the quotient of 24.2 ÷ 1.1. Show your reasoning.

Open Ended

Find the quotient of 132.5 ÷ 0.4. Show your reasoning.