Chapter 4.1, Problem 1AGP

To determine

To evaluate: $\left(6+3\right)4$ using distributive property

Answer to Problem 1AGP

  $36$

Explanation of Solution

Given information:

  $\left(6+3\right)4$

Concept Used:

Distributive Property: The product sum or difference of two or more numbers inside a parentheses with another number outside the parentheses is equivalent to the sum or difference of product of number outside the parentheses with each number inside the parenthesis. i.e.-

  $a\left(b+c-d\right)=ab+ac-ad$

Calculation:

We can write the given expression in distributive form as-

  $\left(6+3\right)4=\left(6\right)4+\left(3\right)4$

This can further be evaluated as-

  $\begin{array}{l}\left(6\right)4+\left(3\right)4=24+12\\ \Rightarrow \left(6\right)4+\left(3\right)4=36\end{array}$