NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.1 Playing with Numbers in Hindi and English Medium for academic session 2022-2023.
Class 8 Maths Exercise 16.1 in Hindi and English Medium
Class 8 Maths Chapter 16 Exercise 16.1 Solution
All the contents are in videos and PDF file format free to use online or download. Hindi Medium and English Medium NCERT (https://ncert.nic.in/) Solutions are given separately so that students do not face any difficulty. Class 8 Maths exercise 16.1 is very interesting exercise to solve or play with fun.
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| Class: 8 | Mathematics |
| Chapter: 16 | Exercise: 16.1 |
| Topic: | Playing with Numbers |
| Content: | Text and Video Solutions |
| Medium: | Hindi and English Medium |
Number in Generalised Form
A number is said to be in a generalised form if it is expressed as the sum of the products of its digits with their respective place values.
Two-digit Numbers
Consider a 2-digit number having the digit a at its tens place and the digit b at its units place. This number is (10a + b), where a can be any whole number from 1 to 9 and b can be any whole number from 0 to 9.
Examples:
- (i) 36 = 10 x 3 + 6
- (ii) 74 = 10 x 7 + 4
- (iii) 90 = 10 x 9 + 0
- (iv) 99 = 10 x 9 + 9
Three-digit Numbers
Consider a 3-digit number having a, b, c as its hundreds digit, tens digit and unit digit respectively.
This number is (100a + 10b + c), where a can be any whole number from 1 to 9, b can be any whole number from 0 to 9 and c can be any whole number from 0 to 9.
Example:
(i) 137 = 100 x 1 + 10 x 3 +7
In a 2-digit number, the units digit is four times the tens digit and the sum of the digits is 10. Find the number.
Solution: Let the tens digit be x.
Then, the units digit = 4x.
x + 4x = 10
5x = 10, x = 2.
Tens digit = 2 and units digit = (4 x 2) = 8.
Hence, the required number is (10 x 2 + 8) = 28.
How can a 3-digit number in generalized form be written using the concepts of exercise 16.1 of 8th Maths?
We can write a three digits’ number as:
Let number is abc, then we can write
100a + 10b + c
Is the questions in exercise 16.1 of 8th Maths are difficult?
Questions given class 8 Maths exercise 16.1 are easy to solve and understand. These are based on the formation of two or three digit numbers using the given condition.
How many questions are there in 8th Maths exercise 16.1?
There are total 10 questions in exercise 16.1 of 8th mathematics. All the questions are following the same pattern of difficulty. Questions are tricky but simple to solve. Students enjoy doing these questions.
