NCERT Solutions for Class 8 Maths Exercise 16.1

Class –VIII Mathematics (Ex. 16.1)

NCERT SOLUTION

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

NCERT Solutions for Class 8 Maths Exercise 16.1

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

NCERT Solutions for Class 8 Maths Exercise 16.1

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

NCERT Solutions for Class 8 Maths Exercise 16.1

6.

Ans. 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

NCERT Solutions for Class 8 Maths Exercise 16.1

7.

Ans.  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.

 For 6  7 = 42 + 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

NCERT Solutions for Class 8 Maths Exercise 16.1

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

NCERT Solutions for Class 8 Maths Exercise 16.1

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

NCERT Solutions for Class 8 Maths Exercise 16.1

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