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About Decimals — Class 6 ICSE

Work with decimal numbers including conversion between fractions and decimals. This topic is part of the ICSE Class 6 mathematics syllabus (chapter: Chapter 5). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Decimals

  • Unit 1: Introduction to Decimals
  • Unit 2: Decimal Place Value
  • Unit 3: Converting Fractions to Decimals
  • Unit 4: Converting Decimals to Fractions
  • Unit 5: Comparing, Ordering Decimals & ICSE Focus

Interactive lesson · about 15 minutes · checkpoint question after every unit

Decimals — solved examples for Class 6 ICSE

Example 1easy

What is the place value of 3 in the decimal 45.63?
  1. A)3
  2. B)0.3
  3. C)0.03
  4. D)30

Step-by-step solution

  1. In 45.63, the digit 3 is in the hundredths place.
  2. Place value = digit x value of its position:
    3x0.01=0.033 x 0.01 = 0.03

Answer: 0.03

Example 2medium

What is 4.56 x 3?
  1. A)13.68
  2. B)12.68
  3. C)13.58
  4. D)12.56

Step-by-step solution

  1. Ignore the decimal and multiply: 456 x 3 = 1368
  2. The original number has 2 decimal places, so place the decimal accordingly:
    4.56x3=13.684.56 x 3 = 13.68

Answer: 13.68

Example 3hard

What is 3.25 x 4.8?
  1. A)15.60
  2. B)15.06
  3. C)16.20
  4. D)14.80

Step-by-step solution

  1. Multiply without decimals: 325 x 48
  2. 325 x 48 = 15600. Total decimal places: 2 + 1 = 3
    15600with3decimalplaces=15.600=15.6015600 with 3 decimal places = 15.600 = 15.60

Answer: 15.60

Practice questions on Decimals

  1. Q1.easy

    Convert the fraction 3/4 to a decimal.
    1. A)0.25
    2. B)0.75
    3. C)0.34
    4. D)0.50
    Show answer

    Answer: 0.75

    Hint: Divide the numerator by the denominator: 3 divided by 4.

  2. Q2.easy

    Which of the following is the decimal form of 1/2?
    1. A)0.2
    2. B)0.5
    3. C)0.12
    4. D)1.2
    Show answer

    Answer: 0.5

    Hint: Half of 1 is the answer.

  3. Q3.easy

    Which decimal is the largest: 0.5, 0.50, 0.500, 0.05?
    1. A)0.5
    2. B)0.50
    3. C)0.500
    4. D)0.05
    Show answer

    Answer: 0.5

    Hint: Adding zeros at the end of a decimal does not change its value, but 0.05 is different from 0.5.

  4. Q4.medium

    What is 8.4 / 4?
    1. A)2.1
    2. B)2.4
    3. C)2.01
    4. D)0.21
    Show answer

    Answer: 2.1

    Hint: Divide as you would with whole numbers, keeping the decimal point in place.

  5. Q5.medium

    Convert 2.375 to a fraction in simplest form.
    1. A)2 3/8
    2. B)2 3/4
    3. C)2 37/100
    4. D)2 375/100
    Show answer

    Answer: 2 3/8

    Hint: 0.375 = 375/1000. Simplify by dividing by 125.

  6. Q6.medium

    Arrange in descending order: 5.05, 5.50, 5.005, 5.5
    1. A)5.50, 5.5, 5.05, 5.005
    2. B)5.5, 5.50, 5.05, 5.005
    3. C)5.50, 5.05, 5.005, 5.5
    4. D)5.005, 5.05, 5.5, 5.50
    Show answer

    Answer: 5.50, 5.5, 5.05, 5.005

    Hint: Write all with 3 decimal places and compare. Remember 5.50 and 5.5 are equal.

  7. Q7.hard

    What is 7.56 / 0.4?
    1. A)18.9
    2. B)1.89
    3. C)189
    4. D)19.8
    Show answer

    Answer: 18.9

    Hint: Make the divisor a whole number by multiplying both numbers by 10: 75.6 / 4.

  8. Q8.hard

    Evaluate: 5.4 + 3.26 - 2.175
    1. A)6.485
    2. B)6.525
    3. C)6.465
    4. D)5.485
    Show answer

    Answer: 6.485

    Hint: First add 5.4 and 3.26, then subtract 2.175. Use trailing zeros for alignment.

  9. Q9.hard

    A cloth merchant has 25.5 metres of fabric. He sells 4 pieces of 3.75 metres each. How much fabric is left?
    1. A)10.5 m
    2. B)11.5 m
    3. C)10.0 m
    4. D)9.5 m
    Show answer

    Answer: 10.5 m

    Hint: First find total fabric sold (4 x 3.75), then subtract from 25.5.

These are 9 of the 60 questions available for Decimals. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.