Question

Which of the following represents associative property?

• A. -3 + 4 = 4 +(-3)
• B. 2×(3+4) = (2×3)+(2×4)
• C. 6 - 8 = (-8) + 6
• D. 3 + ((-4)+5) = (3 +(-4)) + 5

Answer 1

The correct option is D

3 + ((-4)+5) = (3 +(-4)) + 5

Commutative property: a + b = b + a
So, (-3) + 4 = 4 +(-3) represents commutative property.
6 + (-8) = (-8) + 6 also represents commutative property.

Distributive property:
a × (b + c) = (a × b) + (a × c)
Hence, 2 × (3 + 4) = (2×3) + (2 × 4) represents distributive property. ​

Associative property:
a + (b + c) = (a + b) + c
Hence, 3 +((-4) + 5)=(3+(-4)) + 5 represents associative property.