Question

Write an expression that is equivalent to −30+(−40)+(−70) using the commutative property of addition.

HINT: Your answer should be in this form: X + Y + Z NOT just one number

Answer 1

The desired expression is −30+ (−70) + (−40) or −70 + (−40) + (−30)

Explanation:

Here, the given expression is −30+(−40)+(−70)

Let us assume here, X = (-30)

Y = (-40) and Z = (-70)

So, the given expressions is of the form X + Y + Z

Commutative Property states that for any number A, B and C:

A+ (B+C) = (A+B) + C

So, here ( X+Y) + Z = X+ (Y +Z)

⇒The given expression can also be written as

−30+ (−70) + (−40), or, −70 + (−40) + (−30)

Hence, the desired expression is −30+ (−70) + (−40), or, −70 + (−40) + (−30)