Question

Solve for points wrong = reported

Answer 1

Answer:

`\textsf{ Value of Expression A:}\boxed{\sf 16}`

`\textsf{ Value of Expression B:}\boxed{\sf 523}`

`\sf Expression \boxed{\textsf{ B}}\textsf{ had larger value.}`

Step-by-step-explanation:.

The order of operations is as follows:

1. Parentheses
2. Exponents
3. Multiplication and division
4. Addition and subtraction

Let's evaluate Expression A first.

Expression A:

`\sf 80-4(7-3)^2`

Evaluate the exponent first.

`\sf 7-3)^2 = 4^2 = 16`

Expression A:

`\sf 80-4(16)`

`Then do the multiplication.

`\sf 4(16) = 64`

Expression A:

`\sf 80-64`

Finally, do the subtraction.

`\sf 80-64 = 16`

So the value of Expression A is 16.

Let's evaluate Expression B now.

Expression B:

`\sf (80-4) * 7-3^2`

Evaluate the parentheses first.

`\sf (80-4 )= 76`

Expression B:

`\sf 76 * 7-3^2`

Then do the exponent.

`\sf 3^2 = 9`

Expression B:

`\sf 76 * 7-9`

Finally, do the multiplication and subtraction.

`\sf 76* 7 -9 = 532 - 9 = 523`

So the value of Expression B is 523.

Therefore, Expression B has a larger value.

The answer is B.