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Find your Math Personality!
How many numbers lie between squares of the following numbers?
(i) 12 and 13 (ii) 25 and 26 (iii) 99 and 100
Solution:
'2n' numbers lie between the square of two consecutive numbers n and (n+1).
(i)12 and 13
Here, n = 12. Thus, 2n = 2 × 12 = 24 ,
i.e., 24 numbers lie between (12)2 and (13)2
(ii) 25 and 26
Here, n = 25 gives 2 × 25 = 50 , i.e., 50 numbers lie between (25)2 and (26)2
(iii) 99 and 100
Here, n = 99 gives 2 × 99 = 198, i.e., 198 numbers between (99)2 and (100)2
☛ Check: NCERT Solutions for Class 8 Maths Chapter 6
Video Solution:
How many numbers lie between squares of the following numbers? (i) 12 and 13 (ii) 25 and 26 (iii) 99 and 100
NCERT Solutions for Class 8 Maths Chapter 6 Exercise 6.1 Question 9
Summary:
The numbers that lie between the squares of the given questions (i) 12 and 13 (ii) 25 and 26 (iii) 99 and 100 are (i) 24, (ii) 50, (iii) 198
☛ Related Questions:
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- The squares of which of the following would be odd numbers? (i) 431 (ii) 2826 (iii) 7779 (iv) 82004
- Observe the following pattern and find the missing digits. 112 = 121 1012 = 10201 10012 = 1002001 1000012 = 1....2....1 100000012 = ...........
- Observe the following pattern and supply the missing numbers. 112 = 121 1012 = 10201 101012 = 102030201 10101012 = ? ?2 = 10203040504030201
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