You are here
![Remainder in Algebraic Expressions - Examples + Worksheet [Teachoo] - What Remains?](https://cdn.teachoo.com/487f9a22-7785-46e9-961a-2e87d939043b/slide74.jpg)
Remainder in Algebraic Expressions
Last updated at January 7, 2026 by Teachoo
Class 8 (Ganita Prakash - 1, 2 & Old NCERT)
Chapter 5 Class 8 - Number Play (Ganita Prakash)
- Sum of Consecutive Numbers
- Parity of Arithmetic & Algebraic Expressions
- Pairs to Make Fours
- Factors and Multiples
- Always, Sometimes, or Never
-
What Remains?
- Figure it out - Page 122, 123
- Divisibility Rules - 2, 5, 10 and 3
- Shortcut for Divisibility by 9
- Figure it out - Page 126
- Shortcut for Divisibility by 11
- Divisibility Shortcuts for Other Numbers
- Digital Roots
- Figure it out - Page 131
- Digits in Disguise
- Figure it out - Page 132, 133, 134
Transcript
Remainder in Algebraic ExpressionsLet’s try to answer this question Find a number that has a remainder of 3 when divided by 5. Now, we know that Numbers which are multiples of 5 leave remainder 0 when divided by 5 So, Numbers which leave remainder 0 = 5, 10, 15, 20, …. We can write them as Numbers = 5k Now, we need to find numbers which leave remainder 3 So, let’s add 3 to all these numbers We get Numbers = 5 + 3, 10 + 3, 15 + 3, 20 + 3, 25 + 3 …. = 8, 13, 18, 23, 28…. And, we can write them as Numbers which leave remainder 3 on dividing by 5 = 5k + 3 But, we can have one more case also, Let’s subtract 2 from the multiples of 5 We get Numbers = 5 – 2, 10 – 2, 15 – 2, 20 – 2, 25 – 2 …. = 3, 8, 13, 18, 23, …. Thus, we can write them as Numbers which leave remainder 3 on dividing by 5 = 5k – 2 So, we can express Numbers which leave remainder 3 on dividing by 5 as 5k + 3 or 5k – 2
