99 × 101 can be written as (100 - 1) × (100 + 1)
Solution:
The given statement is 99 × 101 can be written as (100 - 1) × (100 + 1). To prove whether the given statement is true or false let us solve the expression using integer rules.
99 = 100 - 1
101 = 100 + 1
So, 99 × 101 = (100 - 1) × (100 + 1)
Therefore, after using integer rules and simplifying the expression we observed that the statement ‘99 × 101 can be written as (100 - 1) × (100 + 1)’ is true.
✦ Try This: State whether the statement is true or false. 999 × 1001 can be written as (1000 - 1) × (1000 + 1)
We can apply integer rules and the order of operations to identify whether 999 × 1001 can be written as (1000 - 1) × (1000 + 1) or not
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 1
NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 96
99 × 101 can be written as (100 - 1) × (100 + 1).
Summary:
Applying the integer rules and after simplifying we have observed that 99 × 101 can be written as (100 - 1) × (100 + 1). Hence the given statement is true.
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