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

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

Answer: 724 × (-56) + (-724) × 44 is equal to -72400.

Let's solve the given expression.

Explanation:

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

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

= (-724) x (100)

= -72400

Thus, the answer to the problem 724 × (-56) + (-724) × 44 = -72400 can be solved with properties easily.