Chapter 4.1, Problem 33PPS

To determine

To evaluate: $19·41$

Answer to Problem 33PPS

  $779$

Explanation of Solution

Given information:

  $19·41$

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:

  $19·41=779$

We can also solve it using distributive property.

  $41$ can be written as $40+1$

The expression $19·41$ will now become

  $19\left(40+1\right)$

We can write the given expression in distributive form as-

  $19\left(40+1\right)=19\left(40\right)+19\left(1\right)$

This can further be evaluated as-

  $\begin{array}{l}19\left(40\right)+19\left(1\right)=760+19\\ \Rightarrow 19\left(40\right)+19\left(1\right)=779\end{array}$

Both the answers match