Decimal Examples for Beginners with Solutions

Quick Answer: Beginner decimal examples show how to add, subtract, multiply, divide and round numbers with a point. Line up points to add or subtract, count total decimal places to multiply, and shift the point to divide. Practise with small sums first, then try rupee and paise problems like milk bills and bank balances.

Key takeaways:

Start with small sums so each rule becomes a habit.
Add or subtract by lining up the decimal points.
Multiply as whole numbers, then put the point back using total decimal places.
Divide by turning the divisor into a whole number first.
Practise with rupee and paise problems because they use two decimal places every time.

Why Learn Decimals Through Examples?

Rules are easier to remember when you see them in action. A beginner who works through ten small examples usually understands decimals better than one who reads a page of theory. This article is built that way: short sums first, then real Indian situations.

Every example below is solved step by step. Try each one on paper before reading the answer. If you want to confirm your work, the free decimal calculator can check it in a second.

Before You Start: Three Quick Facts

A decimal point separates whole numbers from parts of a number.
Zeros at the end of a decimal do not change its value, so 2.5 equals 2.50.
Money has two decimal places, because one rupee equals 100 paise.

With these three facts in mind, the examples will feel natural. NCERT maths for Classes 6 and 7 also starts from exactly this base.

Simple Examples of Adding Decimals

Example A: 0.7 + 0.25. Write 0.70 + 0.25 in a column. Hundredths: 0 + 5 = 5. Tenths: 7 + 2 = 9. The answer is 0.95.

Example B: 3.6 + 4.75. Write 3.60 + 4.75. Hundredths: 0 + 5 = 5. Tenths: 6 + 7 = 13, so write 3 and carry 1. Ones: 3 + 4 + 1 = 8. The answer is 8.35.

Example C: Rs. 18.50 + Rs. 7.25 + Rs. 12.40. The first two give 25.75, and adding 12.40 gives Rs. 38.15.

Simple Examples of Subtracting Decimals

Example A: 5 – 2.35. Write 5.00 – 2.35. Borrowing step by step gives 2.65. Check: 2.65 + 2.35 = 5.00.

Example B: 10.4 – 6.78. Write 10.40 – 6.78, which gives 3.62.

Example C: A 2 kg sugar packet loses 0.35 kg after some is used. What is left? 2.00 – 0.35 = 1.65 kg.

Simple Examples of Multiplying Decimals

Example A: 1.2 x 0.4. Multiply 12 x 4 = 48. There are two decimal places in total, so the answer is 0.48.

Example B: 3.5 x 2.2. Multiply 35 x 22 = 770. Two places in total gives 7.70, which is 7.7.

Example C: 0.05 x 0.2. Multiply 5 x 2 = 10. Three places in total gives 0.010, which is 0.01.

A fast trick is multiplying by 10, 100 or 1000. Just move the point right by one, two or three places. So 4.567 x 100 = 456.7.

Simple Examples of Dividing Decimals

Example A: 6.3 divided by 0.9. Multiply both by 10 to get 63 divided by 9 = 7.

Example B: 15.6 divided by 4. The divisor is already whole. 15.6 divided by 4 = 3.9.

Example C: 2.5 divided by 0.5. Multiply both by 10 to get 25 divided by 5 = 5. This means five halves fit into 2.5, which makes sense.

To divide by 10, 100 or 1000, move the point left. So 56.8 divided by 100 = 0.568.

Simple Examples of Rounding Decimals

Round 7.846 to one decimal place: the next digit is 4, so it stays at 7.8.
Round 2.675 to two places: the next digit is 5, so the 7 goes up and the result is 2.68.
Round 99.96 to one place: the next digit is 6, so 99.9 goes up to 100.0.

Simple Examples of Fractions and Percents

3/5 as a decimal: 3 divided by 5 = 0.6. 9/20 as a decimal: multiply top and bottom by 5 to get 45/100, which is 0.45. 12 percent as a decimal: 12 divided by 100 = 0.12.

These conversions are the bridge between decimals and everything else. When you meet discounts or GST, you will use them every time.

Simple Examples with Rupees and Paise

Money is the friendliest way to learn decimals, because you already know that 100 paise make one rupee. Every money amount is just a decimal with two places.

Example A: Convert 375 paise to rupees. Divide by 100 to get Rs. 3.75.

Example B: A pencil costs Rs. 4.50. How much do 6 pencils cost? 4.50 x 6 = 27.00, so Rs. 27.

Example C: Rs. 100 is shared equally among 8 children. Each gets 100 divided by 8 = Rs. 12.50.

Example D: A shopkeeper gives Rs. 17.25 change from a Rs. 50 note. How much did the customer spend? 50.00 – 17.25 = Rs. 32.75.

Simple Examples of Comparing Decimals

Which is bigger, 0.8 or 0.75? Pad the first one to 0.80. Now compare 80 and 75. So 0.8 is bigger.

Which is smaller, 3.09 or 3.1? Write 3.1 as 3.10 and compare 309 with 310. So 3.09 is smaller.

Put these in order from smallest to largest: 1.05, 1.5, 1.045. Pad to three places: 1.050, 1.500 and 1.045. The order is 1.045, 1.05, then 1.5. Notice that the number with the most digits was the smallest.

Three Worked Examples with Indian Numbers

Example 1: Monthly milk bill

A family buys 1.5 litres of milk every day at Rs. 56 per litre. What do they pay in a 30-day month?

Step 1, daily cost: 1.5 x 56. Ignoring the point, 15 x 56 = 840. One decimal place gives 84.0, so the daily cost is Rs. 84. Step 2, monthly cost: 84 x 30 = Rs. 2,520.

You can also find litres first: 1.5 x 30 = 45 litres, and 45 x 56 = 2,520. Both routes give the same answer, which is a good sign.

Example 2: Buying cloth by the metre

A tailor buys 2.75 metres of cloth at Rs. 180.50 per metre. What is the cost?

Split 2.75 into 2 and 0.75. First, 180.50 x 2 = 361.00. Next, 180.50 x 0.75 means three quarters of 180.50, which is 135.375. Add them: 361.00 + 135.375 = 496.375. Rounded to paise, the cost is Rs. 496.38.

Check by estimating: 2.75 x 180.50 is close to 3 x 180, which is 540, and the real answer should be a little less. Rs. 496.38 fits.

Example 3: Updating a bank balance

Ravi starts with Rs. 12,450.75 in his account. He withdraws Rs. 2,300.50 and later deposits Rs. 875.25. What is his new balance?

Step 1, subtract the withdrawal: 12,450.75 – 2,300.50 = 10,150.25. Step 2, add the deposit: 10,150.25 + 875.25 = 11,025.50. His new balance is Rs. 11,025.50.

Key takeaway: Beginners do best by practising small examples often. Keep the point aligned, count places in products and always check the size of your answer.

Practice Set with Answers

Try these on paper first. The answers are in the table.

Question	Answer
2.4 + 0.65	3.05
9 – 4.28	4.72
0.6 x 0.7	0.42
7.2 divided by 0.8	9
Round 5.449 to 2 places	5.45
Rs. 49.75 x 4	Rs. 199.00

Benefits of Practising with Examples

Faster learning: Seeing a rule used on real numbers fixes it in your memory.
Less fear: Small wins build confidence before bigger problems arrive.
Exam readiness: CBSE school tests often contain exactly these types of questions, and the same base helps later in JEE-style numerical work.
Real-life use: Milk bills, bus fares, tailoring and bank balances all use the same steps.
Stronger link to algebra: When you later solve equations with the quadratic equation calculator, decimal answers will not scare you.

Challenges and Limitations

Simple examples are a good start, but they do not cover everything. Real bills may have many items, taxes and rounding rules, and shops sometimes round each line while others round the total. Examples with clean answers like 7.2 divided by 0.8 = 9 also hide the fact that many divisions never end.

Beginners can also fall into pattern memorising. If you only copy the steps without understanding place value, a slightly different question can confuse you. Always ask why a step works, not only how to do it.

Common Mistakes to Avoid

Adding digits without aligning the point: 3.6 + 4.75 is 8.35, not 4.11. Always line up the points.
Putting the point in the wrong spot after multiplying: 0.6 x 0.7 is 0.42, not 4.2. Count places in both numbers.
Forgetting to carry or borrow across the point: The point does not stop carrying. Treat tenths and ones like any neighbouring columns.
Thinking 2.675 rounds down: The digit after the second place is 5, so the rule says round up to 2.68.
Dividing the smaller number by the bigger one by accident: 6.3 divided by 0.9 is 7, but 0.9 divided by 6.3 is about 0.14.
Leaving out zeros as placeholders: 5 – 2.35 needs 5.00 to work properly.

Best Practices for Beginners

Write each sum neatly in columns on squared paper, with one digit in each box.
Pad with zeros so both numbers have the same number of decimal places.
Estimate before you solve. 2.75 x 180.50 should be a bit under 540.
Check subtraction by adding back, and check division by multiplying back.
Practise five sums every day, mixing the four operations, and keep a small notebook of the mistakes you made.
Use a free online tool to verify your final answers, not to replace your working.

Conclusion

Decimals become easy once you see them used on real numbers. Add and subtract with aligned points, multiply by counting places, divide by making the divisor whole and round by looking at the next digit.

Keep the milk bill, cloth cost and bank balance examples handy as models. Solve a few new ones every day, and decimals will soon feel as natural as counting rupees.

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Frequently Asked Questions

What is an easy example of a decimal?

Rs. 25.50 is an easy example. It means 25 rupees and 50 paise, which is 25 and a half rupees. Weights like 1.5 kg and lengths like 2.75 m are also common examples.

How do I practise decimals as a beginner?

Start with addition and subtraction of numbers with one decimal place. Then move to two places, then to multiplication and division. Doing five sums a day and checking them online works better than a long session once a week.

Why does 0.2 x 0.3 give 0.06?

Multiply 2 x 3 to get 6. Each number has one decimal place, so the answer needs two places in total. Writing 6 with two places gives 0.06.

What is 0.5 as a fraction?

0.5 is five tenths, which is 5/10. Dividing top and bottom by 5 gives 1/2. So 0.5 is simply one half.

Are decimals taught in CBSE?

Yes. NCERT maths introduces decimals in the middle school classes and builds on them in later classes. They also appear in science practicals, where measurements carry decimal places.