Chapter 1: Q10. (page 20)

Evaluate the following expression. Name the property used in each step:
$7 + (9 - 3^{2})$

Short Answer

Expert verified

The value of the expression is: $7 + (9 - 3^{2}) = 7$ .

Step by step solution

– Given information.

Given expression is:

$7 + (9 - 3^{2})$

– 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 Additive identity is:

$a + 0 = a$

The Additive inverse is:

$a + (- a) = 0$

– Evaluate the expression.

The expression $7 + (9 - 3^{2})$ can be solved in below:

$\begin{matrix} 7 + (9 - 3^{2}) = 7 + (9 - 3 \cdot 3) [∵ a^{2} = a \cdot a] \\ = 7 + (9 - 9) [Substitution Property] \\ = 7 + (0) [PropertyofAdditive Inverse] \\ = 7 [PropertyofAdditive Identity] \end{matrix}$

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Evaluate the following expression. Name the property used in each step:
$7 + (9 - 3^{2})$

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:7+(9−32)

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

Recommended explanations on Math Textbooks

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Evaluate the following expression. Name the property used in each step:
$7 + (9 - 3^{2})$