What is the value of the expression?

What is the value of the expression?

Final Answer:

The value of the expression 13-\frac{96}{8}+8 is 9. This result is found by performing division first, followed by subtraction and then addition. Using order of operations correctly leads to the answer.

Explanation:

To evaluate the expression 13-\frac{96}{8}+8 , we follow the order of operations, commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

First, we handle the division:

\frac{96}{8}=12

Now, we rewrite the expression with this calculated value:
13−12+8

Next, perform the subtraction:
13−12=1

Finally, perform the addition:
1+8=9

So the value of the expression 13-\frac{96}{8}+8​ is 9.

Examples & Evidence:

For example, in another expression like 10+\frac{20}{4}-2, you would first calculate \frac{20}{4} which equals 5, then continue with addition and subtraction to find the final result, which would be 10+5−2=13.

You can verify this calculation by using a calculator or doing it step-by-step as shown above. The importance of following the proper order of operations is crucial in obtaining the correct result.

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