Divide Decimals by Decimals

Videos, examples, solutions, and lessons to help Grade 5 students learn how to divide decimal dividends by non-unit decimal divisors.

New York State Common Core Math Grade 5, Module 4, Lesson 31

Worksheets for Grade 5, Module 4, Lesson 31 (pdf)

Common Core Standards: 5.OA.1, 5.NBT.7, 5.NF.7

Lesson 31 Problem Set

1. Estimate, then divide.
   a. 53.2 ÷ 0.4 =
2. Estimate, then divide.
   a. 9.42 ÷ 0.03 =
3. Solve using the standard algorithm. Use the thought bubble to show your thinking as you rename the divisor as a whole number.
   b. 3.16 ÷ 0.04 = ______
4. The total distance of a race is 18.9 km.
   a. If volunteers set up a water station every 0.7 km, including one at the finish line, how many stations will they have?
   b. If volunteers set up a first aid station every 0.9 km, including one at the finish line, how many stations will they have?
   (Homework) 4. Lucia is making a 21.6 centimeter beaded string to hang in the window. She decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters. How many green beads and how many purple beads will she need?
5. In a laboratory, a technician combines a salt solution contained in 27 test tubes. Each test tube contains 0.06 liter of the solution. If he divides the total amount into test tubes that hold 0.3 liter each, how many test tubes will he need?

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Lesson 31 Homework
This video shows how to divide decimal dividends by non-unit decimal divisors using the identity property of multiplication.

1. Estimate, then divide.
   Example: 78.4 ÷ 0.7
   a. 61.6 ÷ 0.8 =
2. Estimate, then divide.
   a. 4.74 ÷ 0.06 =

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Lesson 31 Homework
3. Solve using the standard algorithm. Use the thought bubble to show your thinking as you rename the divisor as a whole number.
b. 7.52 ÷ 0.08 = ______
5. A group of 14 friends collects 0.7 pound of blueberries and decides to make blueberry muffins. They put 0.05 pound of berries in each muffin. How many muffins can they make if they use all the blueberries they collected?

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Lesson 30 Homework

1. Rewrite the division expression as a fraction, and divide.
   2.4 ÷ 0.8 =

Lesson 31
Problem 2:
a. 21.56 ÷ 0.98 =

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