Q62. - Algebra 2

Question

Name the property illustrated by each equation.

 

62. $6\left(9a\right)=9a\left(6\right)$

Step-by-Step Solution

Answer

The property illustrated by the equation $6\left(9a\right)=9a\left(6\right)$ is commutative property of multiplication.

Step 1 - Define commutative property of multiplication

The commutative property of multiplication is if $a\times b=b\times a$, that is the order in which the numbers are multiplied does not change the product.

Step 2 - State an example

Give an example to illustrate the inverse property of multiplication. Let $a=5$and $b=8$, then

$\begin{array}{c}a\times b=5\times 8\\ =40\\ b\times a=8\times 5\\ =40\\ 5\times 8=8\times 5\end{array}$

Step 3 - State the conclusion

Since it is given that $6\left(9a\right)=9a\left(6\right)$, therefore, as per the definition of commutative property of multiplication, the order in which we multiply doesn’t change the product, therefore, they illustrate commutative property of multiplication.