Question

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

Answer 1

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).**