Question

PLEASE HELP!.

Write a statement that is equivalent to (-75 + 90) + (-25) using the associative property of addition. Then show that your statement is equivalent to (-75 + 90) + (-25).

Answer 1

The statement that is equivalent to (-75 + 90) + (-25) using the associative property of addition is:

-75 + (90 + -25)

Explanation:

To show that this statement is indeed equivalent to (-75 + 90) + (-25), we need to perform the operations step by step:

Step 1: Evaluate (90 + -25)

90 + (-25) = 65

Step 2: Replace the expression with the result from Step 1 in the original statement:

-75 + (90 + -25) = -75 + 65

Step 3: Now, evaluate the addition:

-75 + 65 = -10

So, both statements are equivalent, and the result of (-75 + 90) + (-25) is -10, which is the same as the result of the statement -75 + (90 + -25). This demonstrates the associative property of addition, where the grouping of numbers does not affect the final sum.

Answer 2

Explanation:

Step 1: (-75 + 90) + (-25)

Step 2: We can group the first two numbers together, (-75 + 90), and then add the third number, -25.

Step 3: (-75 + 90) + (-25) = -75 + (90 + (-25))

Step 4: Now we can simplify the expression inside the parentheses, 90 + (-25), which is equivalent to 65.

Step 5: (-75 + 90) + (-25) = -75 + 65

Step 6: Finally, we can add -75 and 65 to get the final answer.

Step 7: (-75 + 90) + (-25) = -10

So, using the associative property of addition, we can rewrite the expression (-75 + 90) + (-25) as -75 + 65, which is equivalent to -10.