NCERT Solutions Class 8 Mathematics
Chapter – 16 (Playing with Numbers)
The NCERT Solutions in English Language for Class 8 Mathematics Chapter – 16 Playing with Numbers Exercise 16.1 has been provided here to help the students in solving the questions from this exercise.
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 –
A = 7 and we get, 7 + 5 = 12
In which one’s place is 2.
Therefore, A = 7
And putting 2 and carry over 1, we get
1 + 3 + 2 = 6.
Thus, 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, we get
1 + 4 + 9 = 14
Thus, 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,
A x A = 6 × 6 = 36 in which ones place is 6.
Therefore, A × 1 = 6 × 1 + 3 (Carried on) = 9
Therefore, A = 6
4.
Solution – Here, we observe that B = 5 so that 7 + 5 = 12
Putting 2 at ones place and carry 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 0 × 3 = 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 0 × 5 = 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 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 remaining two B’s value 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 carry 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 carry 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 add 2 + 8 = 10
Tens place digit is ‘0’ and carry over 1.
Now 1 + 6 + 1 = 8 = A
Hence A = 8 and B =1
