Chapter 1: Q26. (page 15)

Evaluate each expression.
$108 \div [3 (9 + 3^{2})]$

Short Answer

Expert verified

The value of the expression $108 \div [3 (9 + 3^{2})]$ is 2.

Step by step solution

Step 1. Order of operations.

In order to evaluate an expression, the order of operations must be followed, which is:

Evaluate the expressions inside the bracket
Evaluate the powers
Multiply and/or divide
Add and/ or subtract

The evaluation takes place from left to right.

Step 2. Evaluate the expression inside the bracket.

In order to evaluate the expression inside the bracket, first, evaluate the innermost expression .

$\begin{array}{l} 108 \div [3 (9 + 3^{2})] = 108 \div [3 (9 + 9)] \\ = 108 \div [3 (18)] \\ = 108 \div [54] \\ = 108 \div 54 \end{array}$

Step 3. Divide 108 by 54.

As per the order of operations, now apply the division operation.

$\begin{array}{l} 108 \div [3 (9 + 3^{2})] = 108 \div 54 \\ = 2 \end{array}$

Therefore, the expression is equal to 2.

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Evaluate each expression.
$108 \div [3 (9 + 3^{2})]$

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate the expression inside the bracket.

Step 3. Divide 108 by 54.

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Evaluate each expression.108÷39+32

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate the expression inside the bracket.

Step 3. Divide 108 by 54.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Applied Mathematics

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Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Evaluate each expression.
$108 \div [3 (9 + 3^{2})]$