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Class 6 • Mathematics • Chapter 8

Decimals

Learn decimal numbers, decimal places, comparison, number-line representation, addition and subtraction through simple examples.

Learn the Basics

Important Concepts

Understand decimals step by step.

1

Tenths and Hundredths

Understand decimal places such as tenths and hundredths and their values.

2

Decimal Representation

Learn how fractions with denominators 10 and 100 can be represented as decimals.

3

Comparing Decimals

Compare decimal numbers by examining their place values.

4

Decimals on a Number Line

Represent decimal numbers between whole numbers on a number line.

5

Addition of Decimals

Learn how to add decimal numbers by aligning their decimal points.

6

Subtraction of Decimals

Subtract decimal numbers carefully using place values.

Understand with Examples

Worked Examples

Tenths

Example

7/10

= 0.7

Hundredths

Example

35/100

= 0.35

Addition

Example

4.25 + 3.60

= 7.85

Visual Learning

Decimal Place Value

Each digit after the decimal point represents a smaller place value.

4

Ones

2

Tenths

5

Hundredths

4.25

Quick Notes

Remember These Points

  • • The first place after the decimal point is tenths.
  • • The second place after the decimal point is hundredths.
  • • Decimal points should be aligned when adding or subtracting decimals.
  • • Zeros can be added to the right of a decimal without changing its value.
  • • Decimals can be represented on a number line.

Practice

Practice Questions

1

Write 7/10 as a decimal.

2

Write 35/100 as a decimal.

3

Which is greater: 0.7 or 0.65?

4

Add: 4.25 + 3.60.

5

Subtract: 8.50 - 3.25.

6

Represent 0.6 on a number line.

Test Yourself

Revise decimal places, comparison and operations before taking the quiz.