Chapter 2: Q. 8 (page 84)

Use the distributive property to evaluate the expression.
$5 (98)$

Short Answer

Expert verified

The value of the expression is $490$ .

Step by step solution

Step 1. Distributive property

For any real numbers a, b, and c, the distributive property is given by:

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

Step 2. Example of distributive property

To evaluate the expression $5 (98)$ , rewrite the expression as

$5 (98) = 5 (100 - 2)$

Now, distribute 5 to both the terms inside the parenthesis and remove the parenthesis sign to get

$\begin{matrix} 5 (98) = 5 (100 - 2) \\ = 5 \cdot 100 + 5 \cdot (- 2) \\ = 500 - 10 \end{matrix}$

Step 3. Add the numbers

Now, to evaluate further combine the constants to get

$\begin{matrix} 5 (98) = 500 - 10 \\ = 490 \end{matrix}$

Thus, the value of the expression is $490$ .

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Use the distributive property to evaluate the expression.
$5 (98)$

Short Answer

Step by step solution

Step 1. Distributive property

Step 2. Example of distributive property

Step 3. Add the numbers

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Use the distributive property to evaluate the expression. 598

Short Answer

Step by step solution

Step 1. Distributive property

Step 2. Example of distributive property

Step 3. Add the numbers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Study anywhere. Anytime. Across all devices.

Use the distributive property to evaluate the expression.
$5 (98)$