Which calculation results in the greatest value?

Which calculation results in the greatest value?

• A. A) 7 + 3
• B. B) 4 × 2
• C. C) 10 - 1
• D. D) 2^4

Answer: (D)

To determine which calculation results in the greatest value, we need to evaluate each expression individually. The first calculation, 7 + 3, equals 10. The second calculation, 4 × 2, gives us a result of 8. The third calculation, 10 - 1, equals 9. The fourth calculation, 2^4, represents 2 raised to the power of 4. This is calculated as 2 × 2 × 2 × 2, which results in 16. Among these evaluations, 16 (from the calculation 2^4) is the highest value. Therefore, the correct choice is supported by the fact that exponentiation can yield significantly larger results compared to addition, subtraction, and multiplication of smaller numbers, particularly when the base number is greater than 1 and the exponent is greater than 1.

To determine which calculation results in the greatest value, we need to evaluate each expression individually.

The first calculation, 7 + 3, equals 10.

The second calculation, 4 × 2, gives us a result of 8.

The third calculation, 10 - 1, equals 9.

The fourth calculation, 2^4, represents 2 raised to the power of 4. This is calculated as 2 × 2 × 2 × 2, which results in 16.

Among these evaluations, 16 (from the calculation 2^4) is the highest value. Therefore, the correct choice is supported by the fact that exponentiation can yield significantly larger results compared to addition, subtraction, and multiplication of smaller numbers, particularly when the base number is greater than 1 and the exponent is greater than 1.