Question

How do you use the distributive property to find $15\left( {\dfrac{{21}}{3}} \right)?$

Answer 1

Hint: As we know that distributive property simply states that “ multiplication distributed over addition”. It applies to the multiplication of the number with the sum or difference of two numbers. It holds true for multiplication over addition and subtraction. The distributive property can be written as $a(b + c) = ab + bc$.

Complete step by step answer:
As per the above question we have $15\left( {\dfrac{{21}}{3}} \right)$. As we know that any whole number has a denominator $1$. So it can be written as $\dfrac{{15}}{1} \times \dfrac{{21}}{3}$.
We will now multiply it and we have $\dfrac{{315}}{3} = 105$.

Hence the required answer is $105.$

Note: According to distributive property, multiplying the sum of two or more numbers will give the same result as multiplying each together and reduce it to the lowest term. Before solving this kind of question we must know the algebraic properties in order to solve easily. We should also take the proper care of positive and negative signs of the different terms while carrying out the multiplication.