Chapter 1: Q13. (page 30)

Evaluate the following expression and name the property used in each step:
$(8 - 2^{3}) + 21$

Short Answer

Expert verified

The value of the expression is: $(8 - 2^{3}) + 21 = 21$

Step by step solution

Step 1. Given information.

The given expression is:

$(8 - 2^{3}) + 21$

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 additive inverse is:

$a + (- a) = 0$

And use the formula such that $a^{3} = a \times a \times a$ .

Step 3. Evaluate the expression.

The expression can be written as in below:

$(8 - 2^{3}) + 21 = (8 - 8) + 21 \begin{matrix} = (8 + (- 8)) + 21 [Property of Additive Inverse] \end{matrix} = 0 + 21 [Substitution Property] = 21$

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Evaluate the following expression and name the property used in each step:
$(8 - 2^{3}) + 21$

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:8−23+21

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.

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Evaluate the following expression and name the property used in each step:
$(8 - 2^{3}) + 21$