properties of numbers vocabulary distributive property
TRANSCRIPT
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