Class 7 Maths · Original EZT practice
A Peek Beyond the Point (Class 7 Maths Chapter 3): what lives on the other side of the decimal point
The decimal point is a small dot doing a big job - everything to its right is a fraction in disguise. One step right of the point is tenths, the next is hundredths. Master those two places and every decimal sum, comparison and conversion in this chapter falls into line. Below: the ideas in plain words, then original EZT practice with worked answers. (Note: this is original practice, not a textbook exercise key.)
10 original worked examples, 10 fresh self-check questions, with explained answers. These are not copied textbook exercises, an official chapter index or a full answer key. No affiliation with NCERT is claimed.
Official sources for topic and edition context, checked 17 October 2026:
1. Tenths and hundredths: the new places
Whole-number places run ones, tens, hundreds. Past the decimal point the pattern flips: the first place is tenths (1/10), the second hundredths (1/100). So 0.3 is 3/10 and 0.07 is 7/100 - and 2.09 reads "two and nine hundredths", not "two point nine".
2. Comparing decimals: line up the places
Compare decimals place by place from the left, and feel free to pad with zeroes: 0.6 is 0.60, which is more than 0.58. Trailing zeroes after the point change nothing: 2.5 = 2.50 = 2.500.
3. Adding and subtracting: keep the points in line
Write the numbers with decimal points directly under each other, pad with zeroes so both have the same length, then add or subtract as usual and bring the point straight down.
4. Decimals in measurement
Decimals tidy up units: 1.5 m is 1 m 50 cm (150 cm); 2.75 kg is 2 kg 750 g; 3.5 km is 3 km 500 m. The tenths place counts tens of the smaller unit, hundredths count single ones.
Choose, solve, check, then try a fresh question.
Before calculating, read the method prompt and name the condition that makes it useful. Write your own attempt. Open the steps only when you need them, and use the check to catch a wrong sign, unit or interpretation. Finish with the fresh question before reading its answer.
Write 3/10 and 7/100 as decimals.
Choose the method: Whole-number places run ones, tens, hundreds.
EZT practice question
Write 3/10 and 7/100 as decimals.
Show the worked solution
- Identify the decimal places, units or numbers being compared.
- Line up the decimal points, pad with zeroes or convert the units as needed.
- Calculate or compare and state the result with the correct place value.
Answer: 0.3 and 0.07.
Check: The decimal points stay aligned and the final place value or unit conversion is correct.
Watch for this: Do not compare only the digits after the point or treat 0.4 + 0.06 as 0.10; tenths and hundredths are different places.
Now try it yourself
Create one new example by changing the numbers, materials, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Read 2.09 aloud correctly.
Choose the method: Whole-number places run ones, tens, hundreds.
EZT practice question
Read 2.09 aloud correctly.
Show the worked solution
- Identify the decimal places, units or numbers being compared.
- Line up the decimal points, pad with zeroes or convert the units as needed.
- Calculate or compare and state the result with the correct place value.
Answer: two and nine hundredths - the 9 sits in the hundredths place, which is why 2.09 is bigger than 2.0 but smaller than 2.1.
Check: The decimal points stay aligned and the final place value or unit conversion is correct.
Watch for this: Do not compare only the digits after the point or treat 0.4 + 0.06 as 0.10; tenths and hundredths are different places.
Now try it yourself
Create one new example by changing the numbers, materials, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Write 0.35 as a fraction in its lowest form.
Choose the method: Whole-number places run ones, tens, hundreds.
EZT practice question
Write 0.35 as a fraction in its lowest form.
Show the worked solution
- Identify the decimal places, units or numbers being compared.
- Line up the decimal points, pad with zeroes or convert the units as needed.
- Calculate or compare and state the result with the correct place value.
Answer: 35/100 = 7/20.
Check: The decimal points stay aligned and the final place value or unit conversion is correct.
Watch for this: Do not compare only the digits after the point or treat 0.4 + 0.06 as 0.10; tenths and hundredths are different places.
Now try it yourself
Create one new example by changing the numbers, materials, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Which is greater, 0.6 or 0.58?
Choose the method: Compare decimals place by place from the left, and feel free to pad with zeroes: 0.
EZT practice question
Which is greater, 0.6 or 0.58?
Show the worked solution
- Identify the decimal places, units or numbers being compared.
- Line up the decimal points, pad with zeroes or convert the units as needed.
- Calculate or compare and state the result with the correct place value.
Answer: write 0.6 as 0.60 - sixty hundredths beats fifty-eight hundredths, so 0.6 is greater.
Check: The decimal points stay aligned and the final place value or unit conversion is correct.
Watch for this: Do not compare only the digits after the point or treat 0.4 + 0.06 as 0.10; tenths and hundredths are different places.
Now try it yourself
Create one new example by changing the numbers, materials, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Arrange in order, smallest first: 0.09, 0.1, 0.085.
Choose the method: Compare decimals place by place from the left, and feel free to pad with zeroes: 0.
EZT practice question
Arrange in order, smallest first: 0.09, 0.1, 0.085.
Show the worked solution
- Identify the decimal places, units or numbers being compared.
- Line up the decimal points, pad with zeroes or convert the units as needed.
- Calculate or compare and state the result with the correct place value.
Answer: 0.085, 0.09, 0.1 - in thousandths: 85, 90, 100.
Check: The decimal points stay aligned and the final place value or unit conversion is correct.
Watch for this: Do not compare only the digits after the point or treat 0.4 + 0.06 as 0.10; tenths and hundredths are different places.
Now try it yourself
Create one new example by changing the numbers, materials, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Add 2.5 + 0.75.
Choose the method: Write the numbers with decimal points directly under each other, pad with zeroes so both have the same length, then add or subtract as usual and bring the point straight down.
EZT practice question
Add 2.5 + 0.75.
Show the worked solution
- Identify the decimal places, units or numbers being compared.
- Line up the decimal points, pad with zeroes or convert the units as needed.
- Calculate or compare and state the result with the correct place value.
Answer: 2.50 + 0.75 = 3.25.
Check: The decimal points stay aligned and the final place value or unit conversion is correct.
Watch for this: Do not compare only the digits after the point or treat 0.4 + 0.06 as 0.10; tenths and hundredths are different places.
Now try it yourself
Create one new example by changing the numbers, materials, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Subtract 4.2 - 1.35.
Choose the method: Write the numbers with decimal points directly under each other, pad with zeroes so both have the same length, then add or subtract as usual and bring the point straight down.
EZT practice question
Subtract 4.2 - 1.35.
Show the worked solution
- Identify the decimal places, units or numbers being compared.
- Line up the decimal points, pad with zeroes or convert the units as needed.
- Calculate or compare and state the result with the correct place value.
Answer: 4.20 - 1.35 = 2.85.
Check: The decimal points stay aligned and the final place value or unit conversion is correct.
Watch for this: Do not compare only the digits after the point or treat 0.4 + 0.06 as 0.10; tenths and hundredths are different places.
Now try it yourself
Create one new example by changing the numbers, materials, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
A common slip: what is 0.4 + 0.06?
Choose the method: Write the numbers with decimal points directly under each other, pad with zeroes so both have the same length, then add or subtract as usual and bring the point straight down.
EZT practice question
A common slip: what is 0.4 + 0.06?
Show the worked solution
- Identify the decimal places, units or numbers being compared.
- Line up the decimal points, pad with zeroes or convert the units as needed.
- Calculate or compare and state the result with the correct place value.
Answer: 0.46, NOT 0.10 - the 4 is tenths and the 6 is hundredths; they live in different places.
Check: The decimal points stay aligned and the final place value or unit conversion is correct.
Watch for this: Do not compare only the digits after the point or treat 0.4 + 0.06 as 0.10; tenths and hundredths are different places.
Now try it yourself
Create one new example by changing the numbers, materials, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Subtract 10.5 - 3.25.
Choose the method: Write the numbers with decimal points directly under each other, pad with zeroes so both have the same length, then add or subtract as usual and bring the point straight down.
EZT practice question
Subtract 10.5 - 3.25.
Show the worked solution
- Identify the decimal places, units or numbers being compared.
- Line up the decimal points, pad with zeroes or convert the units as needed.
- Calculate or compare and state the result with the correct place value.
Answer: 10.50 - 3.25 = 7.25.
Check: The decimal points stay aligned and the final place value or unit conversion is correct.
Watch for this: Do not compare only the digits after the point or treat 0.4 + 0.06 as 0.10; tenths and hundredths are different places.
Now try it yourself
Create one new example by changing the numbers, materials, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Convert 1.5 m to centimetres, and 2.75 kg to grams.
Choose the method: Decimals tidy up units: 1.
EZT practice question
Convert 1.5 m to centimetres, and 2.75 kg to grams.
Show the worked solution
- Identify the decimal places, units or numbers being compared.
- Line up the decimal points, pad with zeroes or convert the units as needed.
- Calculate or compare and state the result with the correct place value.
Answer: 1.5 m = 150 cm; 2.75 kg = 2,750 g.
Check: The decimal points stay aligned and the final place value or unit conversion is correct.
Watch for this: Do not compare only the digits after the point or treat 0.4 + 0.06 as 0.10; tenths and hundredths are different places.
Now try it yourself
Create one new example by changing the numbers, materials, object or setup and solve it by the same rule.
Check your answer
Keep the final result in your notebook; the page-level Try It prompts are intentionally answer-free.
The worked answer above shows the method; independent practice should not become another answer key.
Try it yourself
Work these on paper before checking any notes. Answers are deliberately not shown here.
- Write 45/100 as a decimal.
- Which is greater, 0.7 or 0.65?
- Add 3.06 + 2.4.
- Ria ran 1.25 km and then 2.5 km - how far in total?
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Questions about this practice page
- What do the places after the decimal point mean?
- the first place is tenths (1/10), the second hundredths (1/100), the third thousandths (1/1000) - each a tenth of the one before.
- How do you compare two decimals?
- pad the shorter one with trailing zeroes and compare place by place from the left - 0.6 as 0.60 is greater than 0.58.
- What is the golden rule of decimal addition?
- line up the decimal points, pad with zeroes, add as usual, and drop the point straight down into the answer.
- Is 0.50 different from 0.5?
- no - trailing zeroes after the decimal point do not change the value; they only show the precision of the measurement.
- Are these the NCERT exercise questions for A Peek Beyond the Point - Decimals?
- No. EZT pages are original practice on this chapter - use them to prepare for the textbook exercises, not as a substitute for your book.