(2,385-846)

Question

---------------
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).