Chapter 1: Q24. (page 27)

Use the Distributive Property to rewrite each expression. Then evaluate.
$4 \frac{2}{7} (21)$

Short Answer

Expert verified

The value of the expression $4 \frac{2}{7} (21)$ is $90$ .

Step by step solution

Step 1. Break 427 into simplest form.

Think of an equation whose sum or difference is $4 \frac{2}{7}$ .

$4 \frac{2}{7} = 4 + \frac{2}{7}$

Step 2. Use the distributive property.

According to the distributive property, $(a \pm b) c = a \times c \pm b \times c$

So, the expression can be rewritten as follows:

$\begin{array}{l} 4 \frac{2}{7} (21) = (4 + \frac{2}{7}) (21) \\ = 4 \times 21 + \frac{2}{7} \times 21 \end{array}$

Step 3. Evaluate the expression.

$\begin{array}{l} 4 \frac{2}{7} (21) = 4 \times 21 + \frac{2}{7} \times 21 [Simplify] \\ = 4 \times 21 + 2 \times 3 [Multiply] \\ = 84 + 6 [Add] \\ = 90 \end{array}$

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Use the Distributive Property to rewrite each expression. Then evaluate.
$4 \frac{2}{7} (21)$

Short Answer

Step by step solution

Step 1. Break 427 into simplest form.

Step 2. Use the distributive property.

Step 3. Evaluate the expression.

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Use the Distributive Property to rewrite each expression. Then evaluate.427(21)

Short Answer

Step by step solution

Step 1. Break 427 into simplest form.

Step 2. Use the distributive property.

Step 3. Evaluate the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Pure Maths

Geometry

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Use the Distributive Property to rewrite each expression. Then evaluate.
$4 \frac{2}{7} (21)$