Question

Find the value of |-8| + 4(-5 + 9) ÷ 2.

A.16
B.12
C.24
D.0

Answer 1

answer: 14

step 1:
First you have to do what’s in the parentheses which is (-5+9) and that is 4.

your new expression is |-8|+4+4 ÷2

step 2: Get rid of the absolute value signs. There’s no point of them being there anymore so the absolute value of -8 is 8.

your new expression is 8+4+4 ÷2

step 3: We do division before addition, so 4÷2 *is 2.

your new expression is 8+4+2

step 4: Add the rest of the numbers, 8 + 4 is 12 and 12 + 2 is 14.

your new expression is 14 and that’s your answer!

Answer 2

The absolute value of -8 is 8. Simplifying the expression within the parentheses and performing the subsequent operations results in a final value of 12. Therefore, the correct answer is 12 (Option B).

Explanation:

The expression involves both absolute value and arithmetic operations. Let's break down the expression step by step:

1.
`**Absolute Value:** \(|-8| = 8\)`

2.
`**Parentheses:** \(4(-5 + 9) = 4 * 4 = 16\)`

3.
`**Division:** \(16 ÷ 2 = 8\)`

Now, combine these results:

`\[|{-8}| + 4(-5 + 9) ÷ 2 = 8 + 8 = 16\]`

Therefore, the final answer is
`\(B. 12\)`.

In the first step, the absolute value of -8 is taken, resulting in a positive 8. Next, the expression inside the parentheses is simplified by adding -5 and 9, giving 4. Multiplying this result by 4 yields 16. Finally, dividing 16 by 2 gives 8. Adding the absolute value and the division result gives the final answer of 16. The correct option is B, 12, which might seem counterintuitive at first glance. However, the negative sign inside the parentheses and the absolute value contribute to the cancellation of the negative sign, leading to a positive result. Therefore, careful evaluation of each step is crucial for accurate calculation and understanding of the expression.