A Peek Beyond the Point explains decimals as an extension of the Indian place value system. Students learn how tenths, hundredths, and thousandths help measure length, weight, money, and other quantities more accurately.
CBSE Important Questions Class 7 Maths Chapter 3 help students practise the main ideas from A Peek Beyond the Point in an exam-focused way. This chapter introduces decimals through real-life examples, such as screws, fish lengths, cloth, weight, money, and number lines.
Students learn how to read decimals, compare decimal numbers, convert units, and solve decimal addition and subtraction questions. These questions also strengthen tenths, hundredths, decimal place value, and fractions to decimals.
Key Takeaways
| Topic |
What Students Should Know |
| Smaller units |
Smaller parts help measure objects more accurately |
| Tenths |
1 unit = 10 tenths |
| Hundredths |
1 unit = 100 hundredths |
| Thousandths |
1 unit = 1000 thousandths |
| Decimal point |
It separates the whole number part and decimal part |
| Unit conversion |
Decimals help convert mm to cm, cm to m, g to kg, and paise to rupees |
| Comparing decimals |
Compare digits place by place from left to right |
| Decimal operations |
Add and subtract decimals by aligning decimal points |
CBSE Important Questions Class 7 Maths Chapter 3 Overview
CBSE Important Questions Class 7 Maths Chapter 3 cover decimal place value, number line, comparison, unit conversion, fractions to decimals, and decimal operations. These are the main areas students should revise from the 2026 book.
The chapter builds decimal understanding step by step. Students should first understand tenths and hundredths, then move to comparison, conversion, and operations.
Class 7 Maths Chapter 3 A Peek Beyond the Point MCQs
MCQs test quick understanding of decimals, place value, and conversions. Read each option carefully because small decimal-point changes can change the answer.
Q1. What is the decimal form of 7/10?
(a) 0.07
(b) 0.7
(c) 7.0
(d) 0.007
Answer: (b) 0.7
7/10 means seven tenths, which is written as 0.7.
Q2. Which number is greater: 3.05 or 3.5?
(a) 3.05
(b) 3.5
(c) Both are equal
(d) Cannot be compared
Answer: (b) 3.5
3.5 means 3.50, and 3.50 is greater than 3.05.
Q3. How many hundredths make one unit?
(a) 10
(b) 100
(c) 1000
(d) 1
Answer: (b) 100
One unit has 100 hundredths.
Q4. What is 56 mm in cm?
(a) 0.56 cm
(b) 5.6 cm
(c) 56 cm
(d) 560 cm
Answer: (b) 5.6 cm
Since 10 mm = 1 cm, divide 56 by 10.
Q5. Which decimal equals 0.200?
(a) 2
(b) 0.02
(c) 0.2
(d) 0.002
Answer: (c) 0.2
Zeros added to the right of a decimal number do not change its value.
Very Short Answer Questions on A Peek Beyond the Point
Very short answer questions check definitions, place value, and direct decimal conversions. These answers should be brief but accurate.
Q1. What is the name of Class 7 Maths Chapter 3 in the new book?
Class 7 Maths Chapter 3 is A Peek Beyond the Point.
Q2. Why do we need smaller units of measurement?
We need smaller units to measure objects more accurately. For example, two screws may look similar but have slightly different lengths.
Q3. How many tenths make one unit?
Ten tenths make one unit. So, 10 × 1/10 = 1.
Q4. How many hundredths make one unit?
One hundred hundredths make one unit. So, 100 × 1/100 = 1.
Q5. How many hundredths make one tenth?
Ten hundredths make one tenth. So, 1/10 = 10/100.
Q6. What does 2.7 mean?
2.7 means 2 units and 7 tenths. It can also be written as 2 + 7/10.
Q7. What is the decimal form of 5/100?
The decimal form of 5/100 is 0.05.
Q8. What is the decimal form of 12/10?
The decimal form of 12/10 is 1.2.
Q9. What is the decimal form of 254/1000?
The decimal form of 254/1000 is 0.254.
Q10. What is the decimal form of 234 hundredths?
234 hundredths means 234/100. Its decimal form is 2.34.
Decimal Place Value Class 7 Important Questions
Decimal place value class 7 questions test whether students understand tenths, hundredths, and thousandths. These questions also help students read and write decimals correctly.
CBSE Important Questions Class 7 Maths Chapter 3 on Decimal Place Value
Q1. Write 2 ones, 3 tenths, and 5 hundredths in decimal form.
2 ones, 3 tenths, and 5 hundredths = 2.35.
It means 2 + 3/10 + 5/100 = 2.35.
Q2. Write 4 ones and 6 hundredths in decimal form.
4 ones and 6 hundredths = 4.06.
There are no tenths, so we write 0 in the tenths place.
Q3. Write 1 hundred, 1 one, and 1 hundredth in decimal form.
1 hundred, 1 one, and 1 hundredth = 101.01.
It means 100 + 1 + 1/100.
Q4. Write 0.362 as a sum of tenths, hundredths, and thousandths.
0.362 = 3/10 + 6/100 + 2/1000.
The digit 3 is in the tenths place. The digit 6 is in the hundredths place. The digit 2 is in the thousandths place.
Q5. Are 0.2, 0.20, and 0.200 equal?
Yes, 0.2, 0.20, and 0.200 are equal.
Zeros added to the right of a decimal number do not change its value. But 0.2, 0.02, and 0.002 are different numbers.
Tenths and Hundredths Class 7 Questions
Tenths and hundredths class 7 questions help students understand how decimals begin. Later decimal operations become easier when this concept is clear.
Q1. Write 3 units and 4 tenths in two ways.
3 units and 4 tenths can be written as 3 4/10 or 34/10.
In decimal form, it is 3.4.
Q2. Write 4 units, 4 tenths, and 5 hundredths in decimal form.
4 units, 4 tenths, and 5 hundredths = 4.45.
It can also be written as 4 + 4/10 + 5/100.
Q3. Arrange these in increasing order: 3/10, 3/100, 33/100.
Increasing order: 3/100, 3/10, 33/100.
3/100 = 0.03, 3/10 = 0.3, and 33/100 = 0.33.
Q4. Which is greater: 45/100 or 5/10?
5/10 is greater.
45/100 = 0.45 and 5/10 = 0.5. So, 0.5 > 0.45.
Q5. How many thousandths make one hundredth?
Ten thousandths make one hundredth.
1/100 = 10/1000.
Comparing Decimals Class 7 Important Questions
Comparing decimals class 7 questions test place value understanding. Students should compare digits from left to right and avoid judging a decimal by the number of digits.
Q1. Which is greater: 6.456 or 6.465?
6.465 is greater.
Both numbers have 6 units and 4 tenths. At the hundredths place, 6 is greater than 5.
Q2. Which is greater: 1.23 or 1.32?
1.32 is greater.
Both numbers have 1 unit. At the tenths place, 3 is greater than 2.
Q3. Which is greater: 1.009 or 1.090?
1.090 is greater.
Both numbers have 1 unit. At the hundredths place, 9 is greater than 0.
Q4. Arrange 11.01, 1.011, 1.101, 11.10, and 1.01 in descending order.
Descending order: 11.10, 11.01, 1.101, 1.011, 1.01.
Compare the whole number part first. If it is equal, compare decimal places one by one.
Q5. Will a decimal number with more digits always be greater?
No, a decimal number with more digits is not always greater.
For example, 2.5 is greater than 2.05, even though 2.05 has more decimal digits.
Decimal Number Line Class 7 Questions
Decimal number line class 7 questions help students see where decimals lie. They also improve understanding of tenths, hundredths, and comparison.
Q1. Where does 1.4 lie on the number line?
1.4 lies between 1 and 2.
It means 1 unit and 4 tenths. Divide the space between 1 and 2 into 10 equal parts and mark the fourth part after 1.
Q2. Name the divisions between 1 and 1.1 when divided into hundredths.
The divisions are 1.01, 1.02, 1.03, 1.04, 1.05, 1.06, 1.07, 1.08, and 1.09.
Each small division represents one hundredth.
Q3. Which decimal is closest to 1 among 0.9, 1.1, 1.01, and 1.11?
1.01 is closest to 1.
It is only 0.01 away from 1. The number 0.9 is 0.1 away from 1.
Q4. Which number is closest to 4: 3.56, 3.65, or 3.099?
3.65 is closest to 4.
Its distance from 4 is 0.35. The other numbers are farther away.
Q5. Which number is closest to 1: 0.8, 0.69, or 1.08?
1.08 is closest to 1.
It is 0.08 away from 1.
Unit Conversion Decimals Class 7 Important Questions
Unit conversion decimals class 7 questions connect decimals to daily life. Students use them in length, weight, and money questions.
Length Conversion Questions
Q1. Convert 12 mm into cm.
12 mm = 1.2 cm.
Since 10 mm = 1 cm, 12 mm = 10 mm + 2 mm = 1.2 cm.
Q2. Convert 56 mm into cm.
56 mm = 5.6 cm.
Each centimetre has 10 millimetres. So, divide 56 by 10.
Q3. Convert 36 cm into metres.
36 cm = 0.36 m.
Since 100 cm = 1 m, 36 cm = 36/100 m.
Q4. Convert 325 cm into metres.
325 cm = 3.25 m.
100 cm makes 1 m. So, 325 cm = 3 m and 25 cm.
Weight and Money Conversion Questions
Q5. Convert 465 g into kg.
465 g = 0.465 kg.
Since 1000 g = 1 kg, 465 g = 465/1000 kg.
Q6. Convert 1560 g into kg.
1560 g = 1.56 kg.
It means 1 kg and 560 g.
Q7. Convert 75 paise into rupees.
75 paise = ₹0.75.
Since 100 paise = ₹1, 75 paise = 75/100 rupee.
Q8. Convert 250 paise into rupees.
250 paise = ₹2.50.
200 paise makes ₹2 and 50 paise makes ₹0.50.
Addition and Subtraction of Decimals Class 7 Questions
Addition and subtraction of decimals class 7 questions are important for exams. Students should align decimal points before adding or subtracting.
Decimal Addition Questions
Q1. Find the sum: 5.3 + 2.6.
5.3 + 2.6 = 7.9.
Add tenths with tenths and units with units.
Q2. Find the sum: 2.15 + 5.26.
2.15 + 5.26 = 7.41.
Align the decimal points before adding.
Q3. Find the sum: 9.01 + 9.10.
9.01 + 9.10 = 18.11.
The zero in 9.10 helps keep the hundredths place clear.
Q4. Find the sum: 0.934 + 0.6.
0.934 + 0.600 = 1.534.
Write 0.6 as 0.600 before adding.
Q5. Mahi purchases 0.25 kg beans, 0.3 kg carrots, 0.5 kg potatoes, 0.2 kg capsicums, and 0.05 kg ginger. Find the total weight.
Total weight = 1.3 kg.
0.25 + 0.3 + 0.5 + 0.2 + 0.05 = 1.30 kg.
Decimal Subtraction Questions
Q6. Find the difference: 5.6 - 2.3.
5.6 - 2.3 = 3.3.
Subtract tenths from tenths and units from units.
Q7. Find the difference: 18 - 8.8.
18 - 8.8 = 9.2.
Write 18 as 18.0 before subtracting.
Q8. Find the difference: 10.4 - 4.5.
10.4 - 4.5 = 5.9.
Borrow from the units place because 4 tenths is less than 5 tenths.
Q9. Find the difference: 17 - 0.05.
17 - 0.05 = 16.95.
Write 17 as 17.00 before subtracting.
Q10. Tinku weighed 35.75 kg in January and 34.50 kg in February. Has he gained or lost weight? How much is the change?
Tinku has lost weight.
Change in weight = 35.75 - 34.50 = 1.25 kg.
Fractions to Decimals Class 7 Questions
Fractions to decimals class 7 questions are common in Chapter 3. Students should first check whether the denominator is 10, 100, or 1000.
Q1. Convert 1/2 into decimal form.
1/2 = 0.5.
Half of one unit is five tenths.
Q2. Convert 3/4 into decimal form.
3/4 = 0.75.
Since 3/4 = 75/100, the decimal form is 0.75.
Q3. Convert 1/5 into decimal form.
1/5 = 0.2.
Since 1/5 = 2/10, the decimal form is 0.2.
Q4. Convert 4/5 into decimal form.
4/5 = 0.8.
Since 4/5 = 8/10, the decimal form is 0.8.
Q5. Convert 16/1000 into decimal form.
16/1000 = 0.016.
The digit 6 is in the thousandths place.
Class 7 Maths Chapter 3 Extra Questions
Class 7 Maths Chapter 3 extra questions help students practise mixed concepts. These questions combine decimals, measurement, number lines, and operations.
Q1. Write 70.5 in terms of place value.
70.5 = 7 tens + 0 ones + 5 tenths.
It can also be written as 70 + 5/10.
Q2. Write 7.05 in terms of place value.
7.05 = 7 ones + 0 tenths + 5 hundredths.
The zero in the tenths place is important.
Q3. Which is greater: one-hundredth or 90 thousandths?
90 thousandths is greater.
One-hundredth = 0.01 and 90 thousandths = 0.090.
Q4. How many millimetres make 1 kilometre?
10,00,000 millimetres make 1 kilometre.
1 km = 1000 m and 1 m = 1000 mm. So, 1 km = 1000 × 1000 mm.
Q5. Indian Railways charges 45 paise insurance per passenger. If 1 lakh passengers opt for it, what is the total fee?
The total fee is ₹45,000.
45 paise = ₹0.45. So, 1,00,000 × 0.45 = ₹45,000.
Most Important Exam Questions from Class 7 Maths Chapter 3
These questions cover the highest-value areas from A Peek Beyond the Point. Students should practise them after reading the chapter once.
Q1. Explain why 0.2, 0.20, and 0.200 are equal.
0.2, 0.20, and 0.200 are equal because they all represent 2 tenths.
Adding zeros to the right of a decimal number does not change its value. The place value of 2 remains tenths in all three numbers.
Q2. Why is decimal place value useful in measurement?
Decimal place value helps measure quantities smaller than one unit.
For example, 1 mm = 0.1 cm and 1 cm = 0.01 m. This makes measurement more accurate.
Q3. How should students compare two decimal numbers?
Students should compare decimal numbers from left to right.
First compare the whole number part. If it is equal, compare tenths, then hundredths, then thousandths.
Q4. Why should decimal points be aligned during addition and subtraction?
Decimal points should be aligned so that digits of the same place value come under each other.
This prevents students from adding tenths to hundredths or units to tenths by mistake.
Q5. Why can 4.5 hours not be read as 4 hours 5 minutes?
4.5 hours means 4 hours and 5 tenths of an hour.
Since 1 hour has 60 minutes, 0.5 hour = 30 minutes. So, 4.5 hours means 4 hours 30 minutes.
CBSE Class 7 Maths Important Links