Question

How do you rewrite the expression \[4 \times \left( 6+2 \right)\] using distributive property?

Answer 1

Hint: The distributive property of multiplication is a very useful property that lets you simplify expressions in which you are multiplying a number by a sum or difference. The property states that the product of a sum or difference, such as \[6\left( 5-2 \right),\] is equal to the sum or difference of the products in this case\[,6\left( 5 \right)-6\left( 2 \right).\]

Complete step by step solution:
Here, as we know that you have to rewrite the expression \[4\times \left( 6+2 \right)\] using the distributive property.
Distributive property means to give or divide, share or part something. According to distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding products together.
Using distributive property in given expression,
In rewrite this expression you have to multiple what is outside the parentheses
Therefore,
\[\Rightarrow 4\times \left( 6+2 \right)\] becomes
\[\Rightarrow \left( 4\times 6 \right)+\left( 4\times 2 \right)\]

Hence we have rewrite the expression by using distributive property is \[\left( 4\times 6 \right)+\left( 4\times 2 \right).\]

Note: Use the distributive property to express a sum of two whole numbers \[1-100\] with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express \[36+8\] as \[4\left( 9+2 \right).\]