What value of z makes this addition sentence true?

Question

Hint: Use properties of addition.

z + 905 = 905 + 696

z =

Answer 1

To find the value of \( z \) that makes the equation \( z + 905 = 905 + 696 \) true, we can simplify the right side of the equation first.

1. Calculate \( 905 + 696 \): \[ 905 + 696 = 1601 \]

2. Now, the equation becomes: \[ z + 905 = 1601 \]

3. To isolate \( z \), subtract 905 from both sides: \[ z = 1601 - 905 \]

4. Now, perform the subtraction: \[ z = 696 \]

Thus, the value of \( z \) that makes the addition sentence true is: \[ \boxed{696} \]