What is the distributive property of 48 + 40 ?


What is the distributive property of {eq}48 + 40 {/eq}?

Distributive Property:

The distributive property is used when bringing terms out of brackets. It allows the expansion of an expression and helps in its simplification. The property is:

{eq}a(b+c)=ab+ac {/eq}

Answer and Explanation:

We have to think of an expression that must have yielded 48+40 when the distributive property was applied to it. For this, we can use a common factor of the two numbers. One such common factor is 4. We have 4*12=48 and 4*10=40. We can now rewrite the given expression as:

$$4(12+10)\Leftrightarrow 4*12+4*10 $$

Learn more about this topic:

Distributive Property: Definition, Use & Examples

from High School Algebra II: Help and Review

Chapter 2 / Lesson 20

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