Question

3 × (1,655 − 663) Which of the following is true about the expression above? A. The given expression is 3 times as large as (1,655 − 663). B. The given expression is 3 less than (1,655 − 663). C. The given expression is 3 more than (1,655 − 663). D. The given expression is 3 times smaller than (1,655 − 663).

Answer 1

Let's simplify the expression step by step:

First, calculate the value inside the parentheses:
\[
1,655 - 663 = 992
\]

Now, substitute this value back into the expression:
\[
3 \times (1,655 - 663) = 3 \times 992
\]

Now, multiply:
\[
3 \times 992 = 2,976
\]

Next, let's analyze the individual statements:

**A. The given expression is 3 times as large as (1,655 − 663).**
- Since \(3 \times (1,655 - 663) = 3 \times 992\), it is indeed 3 times as large.

**B. The given expression is 3 less than (1,655 − 663).**
- This is false, as \(2,976\) is not \(992 - 3\).

**C. The given expression is 3 more than (1,655 − 663).**
- This is false, as \(2,976\) is not \(992 + 3\).

**D. The given expression is 3 times smaller than (1,655 − 663).**
- This is misleading, as while you can conceptually relate "3 times smaller" to dividing by 3, it actually means a third of the original expression, not the same relationship we have here.

Among these statements, only the first one is true:
**A. The given expression is 3 times as large as (1,655 − 663).**