Chapter 1: Q2. (page 18)

Find the value of each expression.
$- 4 + 5 (7 - 2^{3})$

Short Answer

Expert verified

Expression $- 4 + 5 (7 - 2^{3})$ results into $- 9$

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 expand the exponent then simplify the expression inside the parenthesis as shown below

$\begin{matrix} - 4 + 5 (7 - 2^{3}) = - 4 + 5 (7 - 8) \\ = - 4 + 5 (- 1) \\ = - 4 - 5 \end{matrix}$

- Subtract 5 from -4

Now, to simplify further subtract the numbers from left to right to get,

$- 4 - 5 = - 9$

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Find the value of each expression.
$- 4 + 5 (7 - 2^{3})$

Short Answer

Step by step solution

- Order for simplification

- Simplify expression inside grouping symbol

- Subtract 5 from -4

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Find the value of each expression.-4+57-23

Short Answer

Step by step solution

- Order for simplification

- Simplify expression inside grouping symbol

- Subtract 5 from -4

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

Find the value of each expression.
$- 4 + 5 (7 - 2^{3})$