NCERT Solutions for Class 8 Maths Chapter 16 (Ex 16.1) Playing with Numbers

NCERT Solutions for Class 8 Chapter 16 Playing with Numbers -Free PDF Download

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Maths Revision Notes for Class 8

 Chapter Name Playing with Numbers Chapter Chapter 16 Exercise Exercise 16.1 Class Class 8 Subject Maths NCERT Solutions Board CBSE TEXTBOOK CBSE NCERT Category NCERT Solutions

NCERT SOLVED

Find the values of the letters in each of the following and give reasons for the steps involved.

1.

Ans. On putting A = 1, 2, 3, 4, 5, 6, 7 and so on and we get, 7 + 5 = 12 in which ones place is 2.

A = 7

And putting 2 and carry over 1, we get

B = 6

Hence A = 7 and B = 6

2.

Ans. On putting A = 1, 2, 3, 4, 5, 6, 7 and so on and we get,8 + 5 = 13 in which ones place is 3.

A = 5

And putting 3 and carry over 1, we get

B = 4 and C = 1

Hence A = 5, B = 4 and C = 1

3.

Ans.  On putting A = 1, 2, 3, 4, 5, 6, 7 and so on and we get, A x A = 6 x 6 = 36 in which ones place is 6.

A = 6

Hence A = 6

4.

Ans. 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.

Ans. 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.

Ans. On putting B = 0, we get 0 , and A = 5, then 5 5 = 25

A = 5, C = 2

Hence A = 5, B = 0 and C = 2

7.

Ans.  Here product of B and 6 must be same as ones place digit as B.

1 = 6, 6  2 = 12, 6  3 = 18,
4 = 24

On putting B = 4, we get the ones digit 4 and remaining two B’s value should be 44.
For 6  7 = 42  and carry over 2 = 44

Hence A = 7 and B = 4

8.

Ans. 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.

Ans. On putting B = 7,

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.

Ans. 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