Chapter 1: Q.26 (page 21)

In the following exercises, simplify each expression.
$5 (2 + 8 \cdot 4) - 7^{2}$

Short Answer

Expert verified

The simplified value of the expression is 121.

Step by step solution

Step 1. Given Information

Given expression is $5 (2 + 8 \cdot 4) - 7^{2}$

The simplified value of the expression is to be determined.

Step 2. Simplifying expression using the Order of Operations

According to the Order of Operations, the expression is to be simplified in the order of:

Parenthesis

Exponents

Multiplication/Division (from left to right)

Addition/Subtraction (from left to right).

Using the above rules to simplify the expression:

$5 (2 + 8 \cdot 4) - 7^{2} = 5 (2 + 32) - 7^{2} 5 (2 + 8 \cdot 4) - 7^{2} = 5 (34) - 7^{2} 5 (2 + 8 \cdot 4) - 7^{2} = 5 (34) - 49 5 (2 + 8 \cdot 4) - 7^{2} = 170 - 49 5 (2 + 8 \cdot 4) - 7^{2} = 121$

Step 3. Conclusion

Therefore, the simplified value of the expression is 121.

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In the following exercises, simplify each expression.
$5 (2 + 8 \cdot 4) - 7^{2}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Simplifying expression using the Order of Operations

Step 3. Conclusion

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In the following exercises, simplify each expression.52+8·4-72

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Simplifying expression using the Order of Operations

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercises, simplify each expression.
$5 (2 + 8 \cdot 4) - 7^{2}$