Asked by drake
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).
Answers
Answered by
GPT-4o mini
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).**
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).**
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