Chapter 4: Q61. (page 166)

Name the property illustrated by each equation.
$3 (x + 12) = 3 x + 3 (12)$

Short Answer

Expert verified

The property illustrated by the equation $3 (x + 12) = 3 x + 3 (12)$ is distributive property.

Step by step solution

- Define distributive property

The distributive property is $a (b + c) = a b + a c$ or $(a + b) c = a c + b c$ .

- State an example

Give an example to illustrate the inverse property of multiplication. Let $a = 5$ , $b = 8$ and $c = 2$ , then

$\begin{matrix} 5 (8 + 2) = 5 (10) \\ = 50 \\ 5 (8) + 5 (2) = 40 + 10 \\ = 50 \\ 5 (8 + 2) = 5 (8) + 5 (2) \end{matrix}$

- State the conclusion

Since it is given that $3 (x + 12) = 3 x + 3 (12)$ , therefore, it illustrates the distributive property.

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Name the property illustrated by each equation.
$3 (x + 12) = 3 x + 3 (12)$

Short Answer

Step by step solution

- Define distributive property

- State an example

- State the conclusion

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Name the property illustrated by each equation.3x+12=3x+312

Short Answer

Step by step solution

- Define distributive property

- State an example

- State the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

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Name the property illustrated by each equation.
$3 (x + 12) = 3 x + 3 (12)$