Name
Number and Operations in Base Ten
4.NBT.6
Lesson 8
Hands On:
Distributive Property
and Partial Quotients
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Find 375 ÷ 5.
You can use the Distributive Property and an area model to divide.
Model 375 as (300 + 70 + 5).
300
70
5
Divide each section by 5.
5
60
14
1
300
70
5
Add the partial quotients.
60 + 14 + 1 = 75
375 ÷ 5 = 75
So, 375 ÷ 5 = 75.
Check
Multiply to check your answer.
5 × 75 = 375, so the answer is correct.
Practice
Copyright © The McGraw-Hill Companies, Inc.
Divide. Use the Distributive Property. Complete the area models.
1. 639 ÷ 3
+
639 ÷ 3 =
2. 336 ÷ 6
+
=
+
+
=
336 ÷ 6 =
Lesson 8 My Homework377
Problem Solving
5
3.
Use Math Tools
A garden store has 868 plants.
They are divided equally into
two groups. How many plants
are in each group?
Divide. Use the Distributive Property or partial quotients.
4.
3 762
- 600
162
- 150
12
- 12
0
+
5.
+
=
2 426
- 400
26
- 20
6
- 6
0
+
762 ÷ 3 =
+
=
426 ÷ 2 =
Vocab
6. Explain why it can be helpful to use partial quotients when dividing.
378Chapter 6 Divide by a One-Digit Number
Copyright © The McGraw-Hill Companies, Inc.
Vocabulary Check