Question

Find: 198\[ \times \]197 - 97\[ \times \]198 using distributive property.

Answer 1

Hint – In this question, the first thing you should know the definition of distributive property, also we read its parts. By its name we easily say that it distributes something as you separate or break it into parts.

Complete step-by-step answer:
The Distributive property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis. The distributive property states that when a factor is multiplied by the sum or addition of two terms.
There are two important types we used in the maximum question.
    1. Distributive property of multiplication
   2. Distributive property of division
In this question we discuss about Distributive property of multiplication;
We multiplied numbers using the distributive property is called the distributive property of multiplication.
Distributive property of multiplication has also two types first Distributive property of multiplication over addition and second Distributive property of multiplication over subtraction:
Here we used Distributive property of multiplication over subtraction,
In this question, it is given that; 198\[ \times \]197 - 97\[ \times \]198
              So,
                     = 198\[ \times \]197 - 97\[ \times \]198
                     = 198\[ \times \](197 – 97)
Using distributive property, we get;
                     =198 $ \times $ 100
                     =9800
Here the answer to this question is 9800.

Note: - m \[ \times \](n + o) = m\[ \times \]n + m\[ \times \]o; this property states know Distributive property of multiplication over addition and m \[ \times \](n-o) = m\[ \times \]n - m\[ \times \]o; this property states know Distributive property of multiplication over subtraction. We divide large numbers using the distributive property by breaking those numbers into smaller factors. This process is called distributive property of division.