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Properties of Numbers
VocabularyDistributive Property
Properties of Numbers
You can use the Distributive Property to multiply numbers mentally by breaking apart one of the numbers and writing it as a sum or difference.
Properties of Numbers
Additional Example 3: Using the Distributive Property to Multiply Mentally
Use the Distributive Property to find 6(54).
Method 1:
Method 2:
= (6 50) + (6 4)
Rewrite 54 as 50 + 4.
= 300 + 24
= 324
Use the Distributive Property.
Multiply.
6(54) = 6(60 – 6) Rewrite 54 as 60 – 6.
= (6 60) – (6 6)
= 360 - 36
Use the Distributive Property. Multiply.
= 324 Subtract.
Add.
6(54) = 6(50 + 4)
Properties of Numbers
Check It Out: Example 3
Use the Distributive Property to find 8(19).
Method 1:
Method 2:
= (8 10) + (8 9)
Rewrite 19 as 10 + 9.
= 80 + 72
= 152
Use the Distributive Property.
Multiply.
8(19) = 8(20 – 1) Rewrite 19 as 20 – 1.
= (8 20) – (8 1)
= 160 – 8
Use the Distributive Property. Multiply.
= 152 Subtract.
Add.
8(19) = 8(10 + 9)
Properties of Numbers
5. Use the Distributive Property to identify
the product of 8(20 + 2).
A. 196
B. 113
C. 176
D. 85
Lesson Quiz for Student Response Systems
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