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).