Chapter 2 ยท ICSE Class 7 Mathematics

Rational Numbers

Explore numbers that can be written as a fraction of two integers, and learn to compare and order them.

โž— Chapter 2

Rational numbers placed on a number line, including fractions and negative values A number line showing rational numbers -3/2, -1/2, 0, 1/2, and 3/2 marked between the integers โˆ’3/2 โˆ’1/2 0 1/2 3/2
2.1

What Are Rational Numbers?

A rational number is any number that can be written as p/q, where p and q are integers and q is not zero. This includes whole numbers, fractions, and their negatives.

1

Is โˆ’3/4 a rational number?

Yes, since โˆ’3 and 4 are both integers

2

Write 5 as a rational number in p/q form.

5/1

2.2

Comparing Rational Numbers

To compare rational numbers, convert them to a common denominator, then compare the numerators directly.

1

Which is greater: โˆ’1/2 or โˆ’1/4?

โˆ’1/4, because it's closer to zero

2

Compare 2/3 and 3/5 using a common denominator.

2/3 = 10/15, 3/5 = 9/15, so 2/3 is greater

Practice

Exercises

1. Is 7 a rational number? Explain.

2. Which is greater: โˆ’2/3 or โˆ’5/6?

3. Compare 3/4 and 5/8 using a common denominator.

4. Write โˆ’0.5 as a rational number in p/q form.

5. Arrange in ascending order: 1/2, โˆ’1/2, 1/4