Chapter 1: Q31. (page 64)

Evaluate each expression using properties of numbers. Name the property used in each step.
$2 \cdot \frac{1}{2} + 4 (4 \cdot 2 - 7)$

Short Answer

Expert verified

The value of the given expression is $5$ .

Step by step solution

Step 1. Method of applying the order of operations.

Evaluate expressions inside grouping symbols.
Evaluate all powers.
Multiply and/or divide in order from left to right.
Add or subtract in order from left to right.

Step 2. Evaluating the expression.

$2 \cdot \frac{1}{2} + 4 (4 \cdot 2 - 7) = 2 \cdot \frac{1}{2} + 4 (8 - 7) [Substitution] = 2 \cdot \frac{1}{2} + 4 (1) [Substitution]$

Step 3. Simplifying the expression.

$2 \cdot \frac{1}{2} + 4 (1) = 2 \cdot \frac{1}{2} + 4 [Multiplicative identity] = 1 + 4 [Multiplicative inverse] = 5 [Substitution]$

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Evaluate each expression using properties of numbers. Name the property used in each step.
$2 \cdot \frac{1}{2} + 4 (4 \cdot 2 - 7)$

Short Answer

Step by step solution

Step 1. Method of applying the order of operations.

Step 2. Evaluating the expression.

Step 3. Simplifying the expression.

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Evaluate each expression using properties of numbers. Name the property used in each step.2·12+44·2-7

Short Answer

Step by step solution

Step 1. Method of applying the order of operations.

Step 2. Evaluating the expression.

Step 3. Simplifying the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Mechanics Maths

Probability and Statistics

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

Evaluate each expression using properties of numbers. Name the property used in each step.
$2 \cdot \frac{1}{2} + 4 (4 \cdot 2 - 7)$