Rational Numbers Class 8 Maths Worksheet with Quiz and Activities
Work with rational numbers: test closure, find inverses and reciprocals, divide fractions and walk a number line. On WitKnowLearn you get the Rational Numbers Class 8 online quiz, online activities and interactive games, a rational lab, a virtual lab and a worksheet-style practice sheet for Class 8 Maths.
Rational Numbers Class 8 Online Quiz
20 questions: 10 easy, 5 average and 5 thinking. Tap an answer and the next question comes up.
Rational Numbers Class 8 Activities
👆 Tap a tab to switch: Learn, Games, Labs, Challenges, Virtual Lab and Practice sheet
Rational Numbers: Properties, Inverses and Operations
A short read for Class 8 before you play. These notes cover Rational Numbers: Properties and Operations in a way that suits students of any board.
➗ What is a rational number?
A rational number is any number that can be written as p over q, where p and q are integers and q is not zero. Every integer is rational because 5 can be written as 5 over 1, and so is zero. The fraction 5 over 0 is not a rational number because division by zero is not defined.
🔒 Closure and the other properties
The sum, difference and product of two rational numbers are always rational, so we say rational numbers are closed under these operations. Division is the exception, because the divisor may be zero. Addition and multiplication are commutative and associative, but subtraction and division are not. Multiplication also distributes over addition.
↔ Identities, inverses and the number line
Zero is the additive identity and one is the multiplicative identity. The additive inverse of a is -a, and the reciprocal of a over b is b over a. Zero has no reciprocal. On a number line the greater number is on the right, and between any two rational numbers there are infinitely many more.
Rational Numbers Class 8 Maths Activities
Follow every step on the Number Train. Earn up to 3 stars in every activity.
This page covers Rational Numbers: Properties and Operations for Class 8 maths and suits students of any board. It covers the meaning of a rational number, closure, commutative, associative and distributive properties, identities and inverses.
The activities are pitched at Class 8 level. Sort operations, pop true facts, add and divide fractions and walk a number line to find a midpoint. Explore more Class 8 maths worksheets on WitKnowLearn after this chapter.
Key ideas and facts to know
| Operation | Closed? | Commutative? |
|---|---|---|
| Addition | Yes | Yes |
| Subtraction | Yes | No |
| Multiplication | Yes | Yes |
| Division | No (zero) | No |
How to use this page
- Flip the six cards and try the Rational Lab in the Learn tab.
- Play the five games and the five labs to practise each idea.
- Finish the five challenges to collect up to 15 points.
- Do two virtual experiments and walk a number line in the studio.
- Take the 20-question online quiz, with assertion and reason and case study questions, and fill in the practice sheet.
Worked examples
Use denominator 6: 3/6 + 2/6 = 5/6.
7/2 x 8/7 = 4.
This Rational Numbers worksheet for Class 8 science gives you online activities and interactive games that make the chapter clear. Every activity has a goal, a hint and a short fact, so students learn while they enjoy.
Complete Guide: Class 8 Maths Rational Numbers
This guide is for Class 8 students, parents and teachers. It covers Rational Numbers: Properties and Operations for Class 8 maths and shows how to use the quiz, labs and games on this page.
Introduction to Rational Numbers
Rational numbers extend the whole numbers and integers so that every division, except by zero, has an answer. This topic shows how they behave under each operation and how they sit on a number line.
What is there in this chapter
- Meaning of a rational number
- Closure, commutative and associative properties
- Distributive property
- Additive and multiplicative identity and inverse
- Rational numbers on a number line and between two numbers
Learning objectives
- Identify rational numbers.
- Apply the properties of the operations.
- Find inverses and reciprocals.
- Insert rational numbers between two given numbers.
- Reason with assertions and case studies.
Learning outcomes
- I can tell whether a number is rational.
- I can use closure and commutativity correctly.
- I can find inverses and reciprocals.
Rational Numbers Class 8 resources on this page
| Resource | What it gives |
|---|---|
| Online quiz | 20 questions: 10 easy, 5 average and 5 thinking, with assertion and reason and case study questions and a full review |
| Flip cards | 6 picture cards with one-line rules |
| Rational Lab | A hands-on lab with 3 rounds |
| Games | 5 interactive games |
| Labs | 5 activity labs |
| Virtual Lab | 2 experiments plus a studio that walks a number line |
| Challenges | 5 challenges, 15 points in all |
| Practice sheet | A worksheet-style sheet with 16 questions, name and date lines and a live score |
Key facts
| Idea | Rule |
|---|---|
| Rational number | p/q with q not zero |
| Additive identity | 0 |
| Multiplicative identity | 1 |
| Additive inverse | -a |
| Reciprocal | b/a, none for 0 |
Types of questions you may see
- Identify rational numbers and inverses
- Assertion and reason on properties
- Word problems on ribbons and pizzas
- Finding a number between two rationals
Solved examples
Make the denominator positive: -12/18. Divide by 6 to get -2/3.
The mean is (2/8 + 4/8) / 2 = 3/8.
Common mistakes
| Mistake | Correct idea |
|---|---|
| Adding denominators when adding fractions | Use a common denominator and add numerators only |
| Saying zero has a reciprocal | Zero has no reciprocal |
| Treating subtraction as commutative | a - b is not b - a |
Rational Numbers in daily life
Shares of a pizza, lengths of ribbon, temperatures below zero, bank profit and loss, and recipe quantities all use rational numbers.
Tips for parents and teachers
- Write the operation before calculating.
- Check the denominator is never zero.
- Practise one assertion and one case study each week.
Related Class 8 Maths Worksheets
Rational Numbers Class 8 FAQs
What is a rational number?
A rational number can be written as p over q, where p and q are integers and q is not zero. Examples are 3/4, -5 and 0.
Are rational numbers closed under division?
No. Division by zero is undefined, so the quotient of two rational numbers is not always a rational number.
What is the difference between additive inverse and reciprocal?
The additive inverse of a is -a and the sum is 0. The reciprocal of a/b is b/a and the product is 1.
How do you find a rational number between two numbers?
Take their mean, which is half their sum. It always lies between the two numbers.
What can students do on this page?
Students can take a 20-question online quiz with assertion and reason and case study questions, play five games, try five online activities, finish five challenges, run the Rational Lab, do two virtual experiments, walk a number line in the line and table views,, and fill in a 16-question practice sheet with a Show answers button.
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