Chapter 1: Q8. (page 19)

Evaluate the following expression. Name the property used in each step:
$\frac{1}{4} \cdot 24 \cdot \frac{2}{3}$

Short Answer

Expert verified

The value of the expression is: $\frac{1}{4} \cdot 24 \cdot \frac{2}{3} = 4$ .

Step by step solution

Step 1. Given information.

Given expression is:

$\frac{1}{4} \cdot 24 \cdot \frac{2}{3}$

Step 2. Write the concept.

The substitution property for multiplication, addition and subtraction is:

$\begin{matrix} a \cdot b = c \\ a \pm b = c \end{matrix}$

The associative property is:

$a \times (b \times c) = (a \times b) \times c$

Step 3. Evaluate the expression.

The expression $\frac{1}{4} \cdot 24 \cdot \frac{2}{3}$ can be solved in below:

$\begin{array}{l} \frac{1}{4} \cdot 24 \cdot \frac{2}{3} = (\frac{1}{4} \cdot 24) \cdot \frac{2}{3} [Associative Property] \\ = (6) \cdot \frac{2}{3} [Substitution Property] \\ = \frac{6 \cdot 2}{3} [∵ \frac{6}{3} = \frac{3 \cdot 2}{2}] \\ = 2 \cdot 2 [Substitution Property] \\ = 4 [Substitution Property] \end{array}$

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Evaluate the following expression. Name the property used in each step:
$\frac{1}{4} \cdot 24 \cdot \frac{2}{3}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Evaluate the expression.

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Evaluate the following expression. Name the property used in each step:14⋅24⋅23

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Evaluate the expression.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Evaluate the following expression. Name the property used in each step:
$\frac{1}{4} \cdot 24 \cdot \frac{2}{3}$