Chapter 1: Q12. (page 12)

Evaluate each expression if $a = 4$ , $b = 6$ and $c = 8$ .
$\frac{b (9 - c)}{a^{2}}$

Short Answer

Expert verified

The value of the expression $\frac{b (9 - c)}{a^{2}}$ is $\frac{3}{8}$ .

Step by step solution

Step 1. Evaluation of algebraic expression.

To evaluate an expression with different operations, an order needs to be followed. The order is first we open the parenthesis then solve exponents then multiply and/or divide then finally add and/or subtract.

Step 2. Replace the variables.

Substitute 4 for a, 6 for b, and 8 for c into the equation $\frac{b (9 - c)}{a^{2}}$ .

$\frac{b (9 - c)}{a^{2}} = \frac{6 (9 - 8)}{4^{2}}$

Step 3. Apply the order of operations.

As per the order of operations, first, evaluate the expressions inside the bracket in the numerator, then evaluate the power in the denominator and simplify.

$\begin{array}{l} \frac{b (9 - c)}{a^{2}} = \frac{6 (1)}{4^{2}} \\ = \frac{6 \cdot 1}{16} \\ = \frac{6}{16} \\ = \frac{3}{8} \end{array}$

Therefore, the expression is equal to $\frac{3}{8}$ .

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Evaluate each expression if $a = 4$ , $b = 6$ and $c = 8$ .
$\frac{b (9 - c)}{a^{2}}$

Short Answer

Step by step solution

Step 1. Evaluation of algebraic expression.

Step 2. Replace the variables.

Step 3. Apply the order of operations.

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Evaluate each expression if a=4, b=6and c=8.b9−ca2

Short Answer

Step by step solution

Step 1. Evaluation of algebraic expression.

Step 2. Replace the variables.

Step 3. Apply the order of operations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Logic and Functions

Decision Maths

Applied Mathematics

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $a = 4$ , $b = 6$ and $c = 8$ .
$\frac{b (9 - c)}{a^{2}}$