Chapter 1: Q8. (page 8)

Find the value of each expression
8. $[6 - {(12 - 8)}^{2}] \div 5$

Short Answer

Expert verified

Value of $[6 - {(12 - 8)}^{2}] \div 5$ is $- 2$

Step by step solution

- Order for simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
Evaluate the exponents.
Perform Multiplication and division from left to right.
Perform addition and subtraction from left to right.

- Simplify expression inside grouping symbol

To evaluate the value of the given expression, first simplify the expression inside the parenthesis and then expand the exponent. Then simplify further the expression in side bracket as shown below

$\begin{matrix} [6 - {(12 - 8)}^{2}] \div 5 = [6 - {(4)}^{2}] \div 5 \\ = [6 - 16] \div 5 \\ = [- 10] \div 5 \end{matrix}$

- Divide -10 with 5

Now, to simplify further divide the numbers to get

$(- 10) \div 5 = - 2$

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Find the value of each expression
8. $[6 - {(12 - 8)}^{2}] \div 5$

Short Answer

Step by step solution

- Order for simplification

- Simplify expression inside grouping symbol

- Divide -10 with 5

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Find the value of each expression8. 6-12-82÷5

Short Answer

Step by step solution

- Order for simplification

- Simplify expression inside grouping symbol

- Divide -10 with 5

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

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Discrete Mathematics

Statistics

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Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the value of each expression
8. $[6 - {(12 - 8)}^{2}] \div 5$