Question

How do you use distributive property to find $5 \times 89$?

Answer 1

Hint: The above given multiplication can be solved directly but they have mentioned a specific way to solve it i.e. by distributive property. So first give a small explanation of what distributive property exactly is and then try to apply that logic to the multiplication given above.

Complete step by step answer:
First we will try to explain what distributive property of multiplication actually is.
It says that if we multiply two numbers, it’s value will be the same as breaking up one factor in two ends and then multiplying it with another number.
The breaking can be done by addition of two numbers or subtraction of two numbers.
So following the same process above we can write the large number 89 as
89=(90-1).
Now as asked in the question, we need to multiply 89 with 5
So we can write it as
$5 \times 89$=5(90-1)
Opening the brackets we get
$5 \times 89$= 450-5=445

Hence $5 \times 89$= 445 respectively.

Note: Distributive property of multiplication is widely used for the multiplication of large numbers. This process makes it simple to solve them easily instead of performing the long multiplications as it helps to simplify difficult problems by breaking them down into the sum or difference of two numbers.