Question Details

Simplify 24 ÷4×2+8−4

Options

A

1

B

7

C

16

D

56

Show Answer

Correct Answer :

Option C

16

Solution :

The correct option is 16.

To simplify the expression, we must follow the standard order of operations, often remembered as PEMDAS/BODMAS. The order of operations dictates that we perform calculations in the following sequence:
1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

The given mathematical expression is:

24÷4×2+84

First, we look for division and multiplication operations and perform them from left to right.
The first operation from the left is the division: 24÷4.

Calculating this division, we get:

24÷4=6

Substitute this back into the expression:

6×2+84

Next, we perform the multiplication: 6×2.

Calculating this multiplication, we get:

6×2=12

Substitute this back into the expression:

12+84

Now, we carry out addition and subtraction from left to right.
First, perform the addition: 12+8.

Calculating this addition, we get:

12+8=20

Substitute this back into the expression:

204

Finally, perform the subtraction:

204=16

Therefore, simplifying the expression step-by-step yields 16.

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