Chapter 1: Q24. (page 20)

Evaluate the following expression and name the property used in each step:
$2 \cdot 8 \cdot 10 \cdot 2$

Short Answer

Expert verified

The value of the expression is: $2 \cdot 8 \cdot 10 \cdot 2 = 320$ .

Step by step solution

Step 1. Given information.

The given expression is:

$2 \cdot 8 \cdot 10 \cdot 2$

Step 2. Write the concept.

The substitution property for multiplication, addition, and subtraction is:

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

The Associative property is:

$a + (b + c) = (a + b) + c$

Step 3. Evaluate the expression.

The expression $2 \cdot 8 \cdot 10 \cdot 2$ can be solved below:

$\begin{matrix} 2 \cdot 8 \cdot 10 \cdot 2 = 2 \cdot 8 \cdot (10 \cdot 2) [Associative Property] \\ = 2 \cdot 8 \cdot (20) [Substitution Property] \\ = 2 \cdot (8 \cdot 20) [Associative Property] \\ = 2 \cdot 160 [Substitution Property] \\ = 320 [Substitution Property] \end{matrix}$

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Evaluate the following expression and name the property used in each step:
$2 \cdot 8 \cdot 10 \cdot 2$

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:2⋅8⋅10⋅2

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

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Evaluate the following expression and name the property used in each step:
$2 \cdot 8 \cdot 10 \cdot 2$