NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers, contains solutions for all exercise questions. While solving the exercise questions, students often face some doubts and eventually pile them up. To help the students clear all their doubts instantly, the NCERT Class 8 Maths Solutions for Chapter 16 are provided here. Download Class 8 Mathematics NCERT Solutions and strengthen your basics.
NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers Exercise 16.1
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Access Other Exercise Solutions of Class 8 Maths Chapter 16 Playing with Numbers
Exercise 16.2 Solutions: 4 Questions (Short answer type)
Access Answers to NCERT Class 8 Maths Chapter 16 Playing with Numbers Exercise 16.1
Find the values of the letters in each of the following and give reasons for the steps involved.
1.
Solution:
Say, A = 7, and we get,
7+5 = 12
In which one’s place is 2.
Therefore, A = 7
And putting 2 and carrying over 1, we get
B = 6
Hence A = 7 and B = 6
2.
Solution:
If A = 5 and we get,
8+5 = 13, in which ones place is 3.
Therefore, A = 5 and carry over 1, then
B = 4 and C = 1
Hence, A = 5, B = 4 and C = 1
3.
Solution:
On putting A = 1, 2, 3, 4, 5, 6, 7 and so on and we get,
AxA = 6×6 = 36 in which ones place is 6.
Therefore, A = 6
4.
Solution:
Here, we observe that B = 5 so that 7+5 =12
Putting 2 at ones place and carrying over 1 and A = 2, we get
2+3+1 =6
Hence A = 2 and B =5
5.
Solution:
Here on putting B = 0, we get 0x3 = 0.
And A = 5, then 5×3 =15
A = 5 and C=1
Hence A = 5, B = 0 and C = 1
6.
Solution:
On putting B = 0, we get 0x5 = 0 and A = 5, then 5×5 =25
A = 5, C = 2
Hence A = 5, B = 0 and C =2
7.
Solution:
Here product of B and 6 must be the same as ones place digit as B.
6×1 = 6, 6×2 = 12, 6×3 = 18, 6×4 =24
On putting B = 4, we get the ones digit 4 and the remaining two B’s values should be 44.
Therefore, for 6×7 = 42+2 =44
Hence A = 7 and B = 4
8.
Solution:
On putting B = 9, we get 9+1 = 10
Putting 0 at ones place and carrying over 1, we get for A = 7
7+1+1 =9
Hence, A = 7 and B = 9
9.
Solution:
On putting B = 7, we get 7+1 =8
Now A = 4, then 4+7 =11
Putting 1 at tens place and carrying over 1, we get
2+4+1 =7
Hence, A = 4 and B = 7
10.
Solution:
Putting A = 8 and B = 1, we get
8+1 =9
Now, again we add2 + 8 =10
Tens place digit is ‘0’ and carry over 1. Now 1+6+1 = 8 =A
Hence A = 8 and B =1
NCERT Class 8 Maths Chapter 16 Playing with Numbers Exercise 16.1, is based on the topics: Numbers in General Form, Games with Numbers, and Letters for Digits. The problems are to find out which letter represents which digit. At the end of this section, students will be able to crack the puzzles in which letters take the place of digits in an arithmetic ‘sum’ and many more.
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