Question

(2,385-846)
---------------
4 Which of the following is true about the expression above? A. The given expression is 4 times the value of (2,385 − 846). B. The given expression is 4 divided by the value of (2,385 − 846). C. The given expression is one-fourth the value of (2,385 − 846). D. The given expression is 4 less than the value of (2,385 − 846).

Answer 1

To analyze the expression \((2,385 - 846) / 4\), we can simplify it step by step:

1. Calculate \(2,385 - 846\):
\[
2,385 - 846 = 1,539
\]

2. Now, substitute this value back into the expression:
\[
\frac{1,539}{4}
\]

Now we will evaluate each of the options provided:

A. The given expression is 4 times the value of \( (2,385 - 846) \).
- This would mean \( (2,385 - 846) = 4 \times \text{expression} \).
- The expression evaluates to \( \frac{1,539}{4} \), so:
\[
4 \times \frac{1,539}{4} = 1,539
\]
- This statement is **false**.

B. The given expression is 4 divided by the value of \( (2,385 - 846) \).
- This would imply that:
\[
\text{expression} = \frac{4}{1,539}
\]
- This is not true. The expression is \( \frac{1,539}{4} \) rather than \( \frac{4}{1,539} \).
- This statement is **false**.

C. The given expression is one-fourth the value of \( (2,385 - 846) \).
- This is true if:
\[
\text{expression} = \frac{1,539}{4} = \frac{1}{4} \times 1,539
\]
- This statement is **true**.

D. The given expression is 4 less than the value of \( (2,385 - 846) \).
- This would suggest:
\[
\frac{1,539}{4} = 1,539 - 4
\]
- Simplifying \( 1,539 - 4 = 1,535 \), which does not equal \( \frac{1,539}{4} \).
- Thus this statement is **false**.

The correct answer is **C. The given expression is one-fourth the value of (2,385 − 846)**.