Name
Numbers and Operations in Base Ten
5.NBT.5, 5.NBT.7
Lesson 8
Multiplication
Properties
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Use properties of multiplication to find (1.7 × 5) × 2.
(1.7 × 5) × 2 = 1.7 × (5 × 2)
= 1.7 ×
=
17
10
Associative Property
Multiply.
Multiply.
So, (1.7 × 5) × 2 = 17.
Practice 1, 2. See students’ work.
Use properties of multiplication to find each product mentally.
Show your steps and identify the properties that you used.
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1. (1.6 × 2) × 5 =
16
2. (27 × 2.5) × 4 =
270
Algebra Find each unknown.
3. × 5.5 = 5.5
=
1
4. 49 × 201 = × 49
=
201
Lesson 8 My Homework427
Problem Solving
5. For a party, Shandra and James each bought
5 packages of hot dog buns that each cost $1.50.
How much did the hot dog buns cost altogether?
$15
6. Eva needs to find: (6 × 1.5) × 2. Give the product
and name the property she could use.
HOT DO
G
18; Associative Property
7. Write a multiplication sentence to show how the Associative
Property can help you solve a problem mentally. Explain.
Sample answer: (7 × 4) × 5 = 7 × (4 × 5); It is easier to multiply
7 and 20 mentally than it is to multiply 28 and 5 mentally.
8.
2
Reason Without calculating, is the equation
×
×
=
(1.8 3) 2.1 3 × (1.8 × 2.1) true or false? Explain your
reasoning.
or grouped does not change the product.
Test Practice
9. Which multiplication property is shown in the equation below?
3.1 × (2 × 9) = (3.1 × 2) × 9
A
Identity Property
B
Commutative Property
C
Zero Property
D
Associative Property
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true; Sample answer: The order in which factors are multiplied