Chapter 3 · CBSE Class 7 Maths (NCERT Ganita Prakash)

A Peek Beyond the Point

Discover why we need numbers smaller than 1 — tenths, hundredths, and thousandths — and how decimals extend the number system.

🔬 Chapter 3

3.1

Decimal Place Value

Just as whole numbers have places for ones, tens, and hundreds, decimals have places for tenths, hundredths, and thousandths — each one ten times smaller than the one before.

1

What is the value of the digit 7 in 3.457?

7 is in the thousandths place, so its value is 7/1000

2

Write 2 ones, 5 tenths, and 3 hundredths as a decimal.

2.53

3.2

Comparing and Ordering Decimals

To compare decimals, line up the decimal points and compare digit by digit from left to right, starting with the whole number part, then tenths, then hundredths.

1

Which is greater: 4.56 or 4.6?

4.6, since comparing tenths: 6 > 5

2

Arrange in ascending order: 0.7, 0.65, 0.8, 0.09

0.09, 0.65, 0.7, 0.8

Practice

Exercises

1. What is the value of the digit 4 in 6.284?

2. Write 5 ones, 2 tenths, and 9 hundredths as a decimal.

3. Which is greater: 3.45 or 3.5?

4. Arrange in descending order: 1.2, 1.09, 1.25, 1.02

5. Which is smaller: 0.5 or 0.45?