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What math property represents 3 times 47 as 3 times 40 then three times 7?

Question:

What math property represents 3 times 47 as 3 times 40 then three times 7?

Algebraic Expression

An algebraic expression is an expression which consists of constants, variables and algebraic operations like addition, subtraction, product and division.

Algebraic expressions follow distributive law.

If there are two linear algebraic expressions as

{eq}\displaystyle f(x)\ =\ ax\ +\ b\\ \displaystyle g(x)\ =\ cx\ +\ d {/eq}

then according to the distributive property, their product can be written as

{eq}\displaystyle f(x)\ \times\ g(x)\ =\ (ax\ +\ b)\ \times\ ( cx\ +\ d)\ =\ ax\ \times\ (cx\ +\ d)\ +\ b\ \times\ (cx\ +\ d) {/eq}

Answer and Explanation:

Here we have,

{eq}\displaystyle 3\ \times\ 47\ =\ 3\ \times\ (40\ +\ 7) {/eq}

This is the distributive property as defined above.


Learn more about this topic:

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Distributive Property: Definition, Use & Examples

from High School Algebra II: Help and Review

Chapter 2 / Lesson 20
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