About Decimals

  • Decimals represent parts of a whole using a dot (decimal point).

  • Used in money, measurement, and many daily activities.

  • You can easily add, subtract, and compare decimals once you understand place values.

  • Learning decimals helps in solving real-world problems accurately.

  • All Level
  • Last updated 15-May-2025
  • english

Course description

What You’ll Learn

This chapter helps you:

  • Understand decimal numbers and their place value

  • Convert between fractions and decimals

  • Compare and arrange decimals

  • Add and subtract decimal numbers

  • Apply decimals in practical problems like money, length, and weight

Key Concepts

1. What are Decimals?

  • Decimals are numbers with a dot (.) called the decimal point.

  • They help express values less than one (like 0.1, 0.5) and combine whole numbers with fractions.

Example:

  • 3.4 means 3 wholes and 4 tenths → 3+4103 + \frac{4}{10}

2. Place Value in Decimals

Place ValueExample: 45.678
Tens4
Ones5
Decimal Point (.)Separates whole and decimal parts
Tenths6
Hundredths7
Thousandths8

Read as:
45.678 = 45 + 610\frac{6}{10} + 7100\frac{7}{100} + 81000\frac{8}{1000}

3. Conversion Between Fractions and Decimals

FractionDecimal
110\frac{1}{10}0.1
12\frac{1}{2}0.5
34\frac{3}{4}0.75
2100\frac{2}{100}0.02

Tip: Divide numerator by denominator to get the decimal.

4. Comparing Decimals

  • Start comparing from the left (whole part).

  • If whole parts are equal, compare tenths, then hundredths, etc.

Examples:

  • 3.4 < 3.5

  • 2.35 > 2.09

5. Like and Unlike Decimals

  • Like Decimals: Same number of digits after the decimal (e.g., 2.50 and 3.75)

  • Unlike Decimals: Different digits after the decimal (e.g., 1.5 and 2.35)

 Convert unlike decimals into like decimals for easier comparison:

  • 1.5 → 1.50, now compare with 2.35

6. Addition of Decimals

  • Write the numbers in columns, aligning the decimal points.

  • Add like whole numbers and place the decimal point in the answer.

  1. 7. Subtraction of Decimals

    • Align the decimal points just like addition.

    • Subtract as usual.

      8. Using Decimals in Real Life

      Money:

      • ₹5.75 means 5 rupees and 75 paise

      • 1 rupee = 100 paise → ₹1 = 1.00

      Length:

      • 1 meter = 100 cm

      • 1.25 m = 1 m + 25 cm

      Weight:

      • 1 kg = 1000 g

      • 2.5 kg = 2 kg + 500 g

      Practice Questions

      1. Convert 710\frac{7}{10} into decimal form.

      2. Compare: 3.05 ___ 3.5

      3. Add: 4.26 + 1.74

      4. Subtract: 7.8 − 3.25

      5. Write 75 paise in rupees.

Curriculum

Introductions of Decimals

Play
Fractions as decimals

Play
Hundredths

Play
Comparing Decimals

Play
Length

Play
Addition of Numbers with Decimals

Play
Subtraction of Decimals

Play
Try these questions

Play

1000.00

Add to cart
This course includes
  • Lectures 10
  • Duration 4h 50m
  • Skills All Level
  • Language english
  • Certificate yes
avatar
Sample

test address

Popular Tags