Chapter 4.1, Problem 18PPS

To determine

To evaluate: $14\left(20-4\right)$ using distributive property

Answer to Problem 18PPS

  $224$

Explanation of Solution

Given information:

  $14\left(20-4\right)$

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-

  $14\left(20-4\right)=14\left(20\right)-14\left(4\right)$

This can further be simplified as-

  $\begin{array}{l}14\left(20\right)-14\left(4\right)=280-56\\ \Rightarrow 14\left(20\right)-14\left(4\right)=224\end{array}$