Chapter 2: Q66. (page 117)

Evaluate each expression. (Lesson 1 - 2)
$4^{2} \cdot 3 - 5 (6 + 3)$

Short Answer

Expert verified

The value of this expression is 3.

Step by step solution

Step 1. Use the order of operations.

The order of operations is the sequence of steps with which we solve any given algebraic expression, order is as follows:

Step 1: Evaluate the expressions inside grouping symbols.

Step 2: Evaluate all powers.

Step 3: Multiply and/or divide in order from left to right.

Step 4: Add and/or subtract in order from left to right.

Step 2. Solve the expression.

We are given that the expression $4^{2} \cdot 3 - 5 (6 + 3)$

First, we open the brackets and then solve the indexes as shown:

$\begin{array}{l} 4^{2} \cdot 3 - 5 (6 + 3) \\ = 16 \cdot 3 - 5 \cdot 9 \end{array}$

Step 3. Simplify the expression.

Next, we perform multiplication:

$\begin{array}{l} 16 \cdot 3 - 5 \cdot 9 \\ = 48 - 45 \end{array}$

Lastly, we perform subtraction

$\begin{array}{l} 48 - 45 \\ = 3 \end{array}$

Thus, the answer is 13.

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Evaluate each expression. (Lesson 1 - 2)
$4^{2} \cdot 3 - 5 (6 + 3)$

Short Answer

Step by step solution

Step 1. Use the order of operations.

Step 2. Solve the expression.

Step 3. Simplify the expression.

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Evaluate each expression. (Lesson 1 - 2)42⋅3−5(6+3)

Short Answer

Step by step solution

Step 1. Use the order of operations.

Step 2. Solve the expression.

Step 3. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

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Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Evaluate each expression. (Lesson 1 - 2)
$4^{2} \cdot 3 - 5 (6 + 3)$