
The product of the predecessor and the successor of the greatest 2-digit number is
A. 9900
B. 9800
C. 9700
D. None of these
Answer
430.2k+ views
Hint: We find the greatest 2-digit number to be 99. Then we find the predecessor and the successor of the greatest 2-digit number to be 98 and 100 respectively. We multiply them to find the solution. We also use the identity $\left( a+b \right)\left( a-b \right)={{a}^{2}}-{{b}^{2}}$ to find the solution of the multiplication.
Complete step by step solution:
The greatest 2-digit number is 99.
The predecessor and the successor of the greatest 2-digit number will be 98 and 100.
We need to find the product of the predecessor and the successor of the greatest 2-digit number which is equal to $98\times 100=9800$.
We can also use the identity $\left( a+b \right)\left( a-b \right)={{a}^{2}}-{{b}^{2}}$.
We assume $a=99;b=1$. Then we get $\left( 99-1 \right)\left( 99+1 \right)=98\times 100$.
Therefore, the solution would be $\left( 99-1 \right)\left( 99+1 \right)=98\times 100={{99}^{2}}-1=9801-1=9800$.
The correct option is (B).
Note:
We need to remember that the terms predecessor and the successor define the exact previous and next terms. We get them by subtracting 1 and adding 1 respectively.
Complete step by step solution:
The greatest 2-digit number is 99.
The predecessor and the successor of the greatest 2-digit number will be 98 and 100.
We need to find the product of the predecessor and the successor of the greatest 2-digit number which is equal to $98\times 100=9800$.
We can also use the identity $\left( a+b \right)\left( a-b \right)={{a}^{2}}-{{b}^{2}}$.
We assume $a=99;b=1$. Then we get $\left( 99-1 \right)\left( 99+1 \right)=98\times 100$.
Therefore, the solution would be $\left( 99-1 \right)\left( 99+1 \right)=98\times 100={{99}^{2}}-1=9801-1=9800$.
The correct option is (B).
Note:
We need to remember that the terms predecessor and the successor define the exact previous and next terms. We get them by subtracting 1 and adding 1 respectively.
Recently Updated Pages
Earth rotates from West to east ATrue BFalse class 6 social science CBSE

The easternmost longitude of India is A 97circ 25E class 6 social science CBSE

Write the given sentence in the passive voice Ann cant class 6 CBSE

Convert 1 foot into meters A030 meter B03048 meter-class-6-maths-CBSE

What is the LCM of 30 and 40 class 6 maths CBSE

What is history A The science that tries to understand class 6 social science CBSE

Trending doubts
How many millions make a billion class 6 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Number of Prime between 1 to 100 is class 6 maths CBSE

Four bells toll together at 900am They toll after 7811 class 6 maths CBSE

Name the countries which are larger than India class 6 social science CBSE

How many lightyears away is the sun from the earth class 6 social science CBSE
