Chapter 1: Q14. (page 30)

Evaluate the following expression and name the property used in each step:
$3 (1 \div 3) \cdot 9$

Short Answer

Expert verified

The value of the expression is: $3 (1 \div 3) \cdot 9 = 9$ .

Step by step solution

Step 1. Given information.

The given expression is:

$3 (1 \div 3) \cdot 9$

Step 2. Write the concept.

The substitution property for multiplication, addition and subtraction is:

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

The property of multiplicative inverse is:

$a \cdot \frac{1}{a} = 1$

Step 3. Evaluate the expression.

The expression $3 (1 \div 3) \cdot 9$ can be solved as in below:

localid="1642015688492" $3 (1 \div 3) \cdot 9 = 3 (\frac{1}{3}) \cdot 9 = 3 \times \frac{1}{3} \cdot 9 = 1 \cdot 9 [Property of Multiplicative Inverse] = 9 [Substitution Property]$

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Evaluate the following expression and name the property used in each step:
$3 (1 \div 3) \cdot 9$

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 and name the property used in each step:31÷3⋅9

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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Evaluate the following expression and name the property used in each step:
$3 (1 \div 3) \cdot 9$