Question

Marcus and Jeremy both evaluated the expression −5 to the second power + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student's work.

Answer 1

Jeremy is correct. His answer of 28 is the correct evaluation of the expression. Marcus made an error by incorrectly evaluating the exponent.

Step-by-step explanation:

Marcus and Jeremy both evaluated the expression −5 to the second power + 3. Marcus said the answer was −22. Jeremy said the answer was 28. To find the correct answer, we need to follow the order of operations, which states that we must first evaluate the exponent, then perform addition or subtraction.

For the expression −52 + 3, first, we evaluate the exponent: −52 = −5 × −5 = 25. Next, we perform addition: 25 + 3 = 28. Therefore, Jeremy is correct in stating that the answer is 28.

Marcus made an error by incorrectly evaluating the exponent. He obtained −52 = −22, which is incorrect. The correct evaluation of the exponent is 25. Therefore, Marcus' answer of −22 is incorrect.

Learn more about Order of operations