Q58. - Algebra 1

Question

Give a real-life example in which the Distributive Property would be useful and write an expression that demonstrates the example.

Step-by-Step Solution

Answer

The distributive property makes the calculations easy.

Step 1. Given information.

The distributive property of multiplication over addition or subtraction is given in below.

$a\left(b+c\right)=ab+ac$

Here $a, b$ and $c$ are real numbers.

Step 2. Write the example.

Take two numbers 12 and 1011. If any two-digit number is to be multiplied by a three-digit number, then the distributive property can help to make the calculation easy.

$\begin{array}{l}12\times 1011=12\left(1000+11\right)\\ =12\times 1000+12\times 11\\ =12000+132\\ =12132\end{array}$

Step 3. Write the expression.

The expression of real-life example is given below:

$12\times 1011=12\times 1000+12\times 11$

Therefore, the expression $12\times 1011=12\times 1000+12\times 11$ is a real-life example to make calculations easy with the help of the distributive property.