Decimal Worksheet for Students to Practice

Decimal Short Summary

Before diving into the questions, it is vital to grasp the place value system. In a decimal number, the positions to the right of the decimal point represent fractions of ten.

1. Tenths: The first digit after the dot (1/10).

2. Hundredths: The second digit after the dot (1/100).

3. Thousandths: The third digit after the dot (1/1000).

A common mistake in any worksheet is assuming a longer number is always larger. For example, students might think 0.125 is bigger than 0.5 because 125 is bigger than 5. However, 0.5 is actually 0.500, which is much larger than 0.125.

Use this table to quickly check how digits change value based on their position relative to the decimal point.

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Decimal Worksheet

Below is an expanded set of practice problems divided by difficulty and topic. Work through these systematically to test your understanding.

Section 1: Place Value and Comparison

• Identify the digit in the hundredths place in 45.678.

• Compare 0.09 and 0.1 using <, >, or =.

• Write "Six and twenty-five thousandths" as a decimal.

• Arrange these in descending order: 1.1, 1.01, 1.11, 0.11.

• What is the value of 4 in 0.942?

• True or False: 0.5 is the same as 0.50.

• Fill in the blank: 3.45 is _____ than 3.405.

• Round 12.678 to the nearest tenth.

• Write 5.307 in expanded form.

• Express 0.45 as (tenths + hundredths).

• Write the place value of 8 in 12.084.

• Convert 7 + 0.2 + 0.03 into a decimal number.

Read More - Number Line Worksheet for Students

Section 2: Basic Operations (Addition & Subtraction)

• 15.6 + 4.82 = ?

• 100 - 45.25 = ?

• Find the sum of 0.005, 0.5, and 5.0.

• Subtract 3.456 from 10.

• 12.1 + 1.21 + 0.121 = ?

• How much more is 5.2 than 2.55?

• Solve: 8.9 - (2.3 + 1.15).

Section 3: Multiplication and Division

• 0.4 x 0.7 = ?

• 1.5 x 0.03 = ?

• 12.6 / 3 = ?

• 0.45 / 0.09 = ?

• Multiply 12.34 by 100.

• Divide 56.7 by 10.

• If 5 apples cost 2.25 pounds, how much does 1 apple cost?

• Solve: 0.1 x 0.1 x 0.1.

• Multiply 4.56 by 10, 100, and 1000.

• Divide 78.9 by 10 and 100.

• What happens to the decimal point when multiplying by 100?

• Convert 0.34 into a number after multiplying by 100. 

Section 4: Fractions and Decimals

• Convert 3/5 into a decimal.

• Express 0.125 as a fraction in simplest form.

• Write 7/20 as a decimal.

• Convert 2.75 into a mixed fraction.

• Which is larger: 1/4 or 0.2?

Read More - Number Patterns Worksheet for Maths Practice

Section 5: Number Line Questions

• Plot 0.2, 0.5, and 0.8 on a number line between 0 and 1.

• Which number lies between 0.3 and 0.4: 0.35 or 0.45?

• Mark the position of 1.25 on a number line.

• Write two decimals between 0.6 and 0.7.

Section 6: Decimal Word Problems

• A bottle contains 1.5 litres of water. If you drink 0.75 litres, how much is left?

• A ribbon is 2.4 metres long. You cut 0.85 metres. What is the remaining length?

• A pen costs ₹12.75. If you buy 2 pens, what is the total cost?

• Your weight is 45.6 kg and your friend’s weight is 47.25 kg. Who is heavier and by how much?

• A shopkeeper sold 3.5 kg apples in the morning and 2.75 kg in the evening. Total apples sold?

Decimal Worksheet Questions with Answers

Check your work against these solutions to identify areas where you might need more practice.

Section 1

• Answer: 7 (The second digit after the decimal).

• Answer: 0.09 < 0.1 (Think of it as 0.09 vs 0.10).

• Answer: 6.025.

• Answer: 1.11, 1.1, 1.01, 0.11.

• Answer: 4 hundredths (or 0.04).

• Answer: True (Trailing zeros do not change value).

• Answer: Greater.

• Answer: 12.7 (Round up because 7 is greater than 5).

• 5.307 = 5 + 0.3 + 0.007

• 0.45 = 4 tenths + 5 hundredths

• Place value of 8 in 12.084 = 8 hundredths (0.08)

• 7 + 0.2 + 0.03 = 7.23

Section 2

• Answer: 20.42.

• Answer: 54.75.

• Answer: 5.505.

• Answer: 6.544.

• Answer: 13.431.

• Answer: 2.65.

• Answer: 5.45 (Solve brackets first: 3.45, then 8.9 - 3.45).

Section 3

• Answer: 0.28.

• Answer: 0.045.

• Answer: 4.2.

• Answer: 5 (Move decimal two places: 45 / 9).

• Answer: 1234.

• Answer: 5.67.

• Answer: 0.45 pounds.

• Answer: 0.001.

• 4.56 × 10 = 45.6, × 100 = 456, × 1000 = 4560

• 78.9 ÷ 10 = 7.89, ÷ 100 = 0.789

• Decimal point moves to the right when multiplying by 100

• 0.34 × 100 = 34

Section 4

• Answer: 0.6.

• Answer: 1/8.

• Answer: 0.35 (Multiply numerator/denominator by 5 to get 35/100).

• Answer: 2 and 3/4.

• Answer: 1/4 (1/4 = 0.25, which is > 0.2).

Section 5

• Answer: 0.2, 0.5, 0.8 → Evenly spaced between 0 and 1 (0.2 < 0.5 < 0.8)

• Answer: Between 0.3 and 0.4 → 0.35

• Answer: 1.25 → Between 1.2 and 1.3 (closer to 1.2)

• Answer: Two decimals between 0.6 and 0.7 → 0.61, 0.62 (many correct answers possible)

Section 6

• Answer: Water left = 0.75 litres (1.5 − 0.75)

• Answer: Remaining ribbon = 1.55 metres (2.4 − 0.85)

• Answer: Cost of 2 pens = ₹25.50 (12.75 × 2)

• Answer: Heavier person = Friend by 1.65 kg (47.25 − 45.6)

• Answer: Total apples sold = 6.25 kg (3.5 + 2.75)

Decimal Explanation in Simple Language

Understand these simple rules to solve any decimal problem quickly and accurately.

Regular use of a decimal worksheet in maths ensures that these rules move from your short-term memory into your long-term skill set. Practice these daily to improve your speed and accuracy!

Benefits Of Decimal Worksheet?

The worksheet serves as a roadmap. It takes a broad concept and breaks it down into manageable chunks. For students, the transition from fractions to decimals can feel abstract. Constant practice helps the following:

• Visualising value: recognising that 0.5 is larger than 0.05.

• Precision: Ensuring that decimal points align during addition and subtraction.

• Real-world Application: Preparing for financial literacy and metric measurements.

Tips for Solving Decimal Worksheet

To avoid simple errors, keep these strategies in mind:

• Line up the dots: When adding or subtracting, the decimal points must stay in a straight vertical line.

• Fill the gaps: Use "placeholder zeros" so all numbers have the same number of digits after the decimal.

• Count the jumps: In multiplication, count the total decimal places in the numbers you are multiplying and apply that total to the answer.

• Estimate first: Before calculating 9.9 times 5.1, think, "10 times 5 is 50. " If your answer is 504.9, it indicates that you placed the decimal incorrectly!

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