What is the value of the expression below?
(3-9)÷(-2.5)
A) -2.5
B) -2.3
C) 2.3
D) 2.5
The Correct Answer and Explanation is :
To solve the expression ((3 – 9) ÷ (-2.5)), we start by simplifying the expression inside the parentheses:
- Calculate (3 – 9):
[
3 – 9 = -6
]
Now, we rewrite the original expression:
[
(-6) ÷ (-2.5)
] - Divide (-6) by (-2.5):
Dividing two negative numbers results in a positive number. Therefore, we need to compute the following:
[
-6 ÷ -2.5 = 6 ÷ 2.5
] - Convert to fractions for easier calculation:
We can express 2.5 as a fraction:
[
2.5 = \frac{25}{10} = \frac{5}{2}
]
Now, our division becomes:
[
6 ÷ \frac{5}{2} = 6 × \frac{2}{5} = \frac{6 × 2}{5} = \frac{12}{5}
] - Convert (\frac{12}{5}) to a decimal:
Dividing (12) by (5) gives:
[
12 ÷ 5 = 2.4
]
Thus, the result of the expression ((3 – 9) ÷ (-2.5)) is (2.4).
However, it’s important to note that (2.4) is not one of the answer choices listed. Let’s consider the possible answer options:
A) -2.5
B) -2.3
C) 2.3
D) 2.5
Since (2.4) is closest to (2.3), we might need to acknowledge that it’s not an exact match, but rounding might have occurred if this is a multiple-choice scenario. Thus, in this case, it’s likely the intended choice is C) 2.3, despite our calculated result being (2.4).
To summarize, the expression evaluates to (2.4), and the best match among the provided options is C) 2.3.