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Properties of Operations

3 × 5 = 15
Property Commutative In the commutative property, 7 × 2 6 × 4

numbers in a multiplication sentence
can switch places, and the product is
still the same. 9 × 3 8 × 6

Associative Property In the associative property, numbers 2 × 3 × 7
× ×

4 × 5 = 20

5 × 2 = 10
or
20 × 2 = 40
10 × 4 = 40

in a multiplication sentence can be
multiplied in different orders, and the
product is still the same.

× 3 × 3 × 8

×
7 × 9
8 × 3 = 24
24 + 24 = 48
8 × 6
8 × 3 = 24
CD-104648 Distributive Property In the distributive property, a factor in
a multiplication sentence can be split

other factor by each added and then
• into its addends. You can multiply the 6 × 7
Carson-Dellosa product.
add those products to find the original

© Properties of Operations 31