Chapter 1: Q4. (page 18)

4. Evaluate $a^{3} + b (9 - c)$ if $a = - 2, b = \frac{1}{3},$ and $c = - 12$

Short Answer

Expert verified

Expression $a^{3} + b (9 - c)$ results into $- 1$

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.

- Substitution

Substitute $- 2$ for a, $\frac{1}{3}$ for b, and $- 12$ for c in given expression.

$a^{3} + b (9 - c) = {(- 2)}^{3} + \frac{1}{3} (9 - (- 12))$

- Simplify expression inside grouping symbol

To evaluate the value of the given expression, first simplify parentheses as shown below

$\begin{matrix} {(- 2)}^{3} + \frac{1}{3} (9 - (- 12)) = - 8 + \frac{1}{3} (9 + 12) \\ = - 8 + \frac{1}{3} (21) \\ = - 8 + 7 \end{matrix}$

- Add -8 with 7

Now, to simplify further add the numbers to get,

$- 8 + 7 = - 1$

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4. Evaluate $a^{3} + b (9 - c)$ if $a = - 2, b = \frac{1}{3},$ and $c = - 12$

Short Answer

Step by step solution

- Order for simplification

- Substitution

- Simplify expression inside grouping symbol

- Add -8 with 7

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4. Evaluate a3+b9-c if a=-2,b=13, and c=-12

Short Answer

Step by step solution

- Order for simplification

- Substitution

- Simplify expression inside grouping symbol

- Add -8 with 7

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Decision Maths

Discrete Mathematics

Mechanics Maths

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

4. Evaluate $a^{3} + b (9 - c)$ if $a = - 2, b = \frac{1}{3},$ and $c = - 12$