Name
Number and Operations in Base Ten
4.NBT.5
Lesson 3
Homework Helper
Hands On: Use
the Distributive
Property to
Multiply
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Find 26 × 25.
An area model can be used to represent the factors.
The tens and ones of one factor are separated.
Find each product. Then add.
26 × 25 =
=
=
=
26 × (20 + 5)
(26 × 20) + (26 × 5)
520 + 130
650
20
5
26
So, 26 × 25 = 650.
Practice
Draw an area model. Then use the Distributive Property to
find each product.
1. 73 × 34 =
73 × 34 = 73 × (30 + 4)
= (73 ×
=
) + (73 ×
)
) + (82 ×
)
+
Copyright © The McGraw-Hill Companies, Inc.
=
2. 82 × 22 =
82 × 22 = 82 × (20 + 2)
= (82 ×
=
+
=
Lesson 3 My Homework297
Draw an area model. Then use the Distributive Property to
find each product.
3. 18 × 39 =
18 × 39 =
×(
+
=(
×
)+
(
×
)
=
)
+
=
Problem Solving
4. There are 48 nails in one box. How many nails are in 17 boxes?
nails
×(
+
=(
×
)+
(
×
)
17 × 48 =
=
)
+
=
5. Each notebook has 64 pages. How many total pages are there in
33 notebooks?
pages
×(
+
=(
×
)+
(
×
)
=
+
=
6. Each jar contains 55 buttons. There are 16 jars on the shelf.
How many buttons are there altogether?
buttons
298Chapter 5 Multiply with Two-Digit Numbers
)
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33 × 64 =