Chapter 1: Q14. (page 20)

Evaluate the following expression. Name the property used in each step:
$6 \cdot \frac{1}{6} + 5 (12 \div 4 - 3)$

Short Answer

Expert verified

The value of the expression is: . $6 \cdot \frac{1}{6} + 5 (12 \div 4 - 3) = 1$

Step by step solution

– Given information.

Given expression is:

$6 \cdot \frac{1}{6} + 5 (12 \div 4 - 3)$

– 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 multiplicative inverse is:

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

The property of multiplicative of any number to 0 is:

$a \times 0 = 0$

The Additive inverse is:

$a + (- a) = 0$

– Evaluate the expression.

The expression $6 \cdot \frac{1}{6} + 5 (12 \div 4 - 3)$ can be solved in below:

$\begin{matrix} 6 \cdot \frac{1}{6} + 5 (12 \div 4 - 3) = 1 + 5 (12 \div 4 - 3) [Property of multiplicativeinverse] \\ = 1 + 5 (3 - 3) [Substitution Property] \\ = 1 + 5 (0) [Property of additive inverse] \\ = 1 + 0 [PropertyofMulplication of zero] \\ = 1 [Substitution Property] \end{matrix}$

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Evaluate the following expression. Name the property used in each step:
$6 \cdot \frac{1}{6} + 5 (12 \div 4 - 3)$

Short Answer

Step by step solution

– Given information.

– Write the concept.

– Evaluate the expression.

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Evaluate the following expression. Name the property used in each step:6⋅16+5(12÷4−3)

Short Answer

Step by step solution

– Given information.

– Write the concept.

– 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:
$6 \cdot \frac{1}{6} + 5 (12 \div 4 - 3)$