To evaluate the expression, we start with the inside of the parentheses:
-
Calculate \( 3,657 + 16.33 \): \[ 3,657 + 16.33 = 3,673.33 \]
-
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).