# Solve: 724 × (-56) + (-724) × 44 using properties.

We will use the associative property and distributive property to find the product.

## Answer: 724 × (-56) + (-724) × 44 = 72400 can be solved with properties easily.

**Explanation:**

For the expression, 724 × (-56) + (-724) × 44

using the associative property of integers we can say that 724 × (-56) is the same as -724 × 56

therefore 724 × (-56) + (-724) × 44 is the same as (-724) × 56 + (-724) × 44

Using distributive property, [ a× (b+c ) = a×b +a×c]

our expression looks like the RHS where a = -724, b = 56 and c = 44

hence,

724 × (-56) - 724 × 44 = -724 × (-56 - 44)

= (-724) x (-100)

= 72400