Which of the following is true about the expression given below? 4x(3,657+16.33) A. The given expression is four less than (3,657 + 16.33). B. The given expression is four times as large as (3,657 + 16.33). C. The given expression is four times less than (3,657 + 16.33). D. The given expression is four more than (3,657 + 16.33). Reset Submit

1 answer

To evaluate the expression, we start with the inside of the parentheses:

  1. Calculate \( 3,657 + 16.33 \): \[ 3,657 + 16.33 = 3,673.33 \]

  2. Now multiply that result by 4: \[ 4x(3,673.33) = 4 \times 3,673.33 = 14,693.32 \]

Next, we can analyze the options given in the question based on the value we computed:

A. The given expression is four less than (3,657 + 16.33).

  • This is false because \( 14,693.32 \) is much larger than \( 3,673.33 \).

B. The given expression is four times as large as (3,657 + 16.33).

  • This is true because \( 14,693.32 \) is indeed \( 4 \times 3,673.33 \).

C. The given expression is four times less than (3,657 + 16.33).

  • This is false; there is no concept of "four times less" in this context.

D. The given expression is four more than (3,657 + 16.33).

  • This is false because \( 14,693.32 \) is much larger than \( 3,673.33 \), not just four more.

Thus, the correct answer is:

B. The given expression is four times as large as (3,657 + 16.33).