NCERT Solutions for Class 8 Maths Exercise 16.1 Chapter 16 Playing With Number

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.

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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 oneâ€™s place is 2.

Therefore, A = 7

And putting 2 and carry 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 = 6Ã—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 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 0x3 = 0.

And A = 5, then 5Ã—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 5Ã—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.

6Ã—1 = 6, 6Ã—2 = 12, 6Ã—3 = 18, 6Ã—4 =24

On putting B = 4, we get the ones digit 4 and remaining two Bâ€™s value should be44.

Therefore, for 6Ã—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 add2 + 8 =10

Tens place digit is â€˜0â€™ 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, 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 â€˜sumâ€™ and many more.