Class 7 Maths Chapter 3 Question Answers - A Peek Beyond the Point

Q1. Sonu measured the length of his lower arm as 2.7 units and his upper arm as 3.6 units. What is the total length of his arm?

Ans:
We add the two decimal numbers:
Lower arm = 2.7
Upper arm = 3.6
Step 1: Add the whole parts: 2 + 3 = 5
Step 2: Add the tenths: 0.7 + 0.6 = 1.3
Now 1.3 = 1 + 0.3

Step 3: Final addition: 5 (from whole parts) + 1 (from tenths) = 6
6 + 0.3 = 6.3 units

Total arm length = 6.3 units

Q2. Add: 75.345 + 86.691. Show your calculation step-by-step.

Ans: 162.036
Add each column from right to left:

• Thousandths: 5 + 1 = 6

• Hundredths: 4 + 9 = 13 → write 3, carry 1

• Tenths: 3 + 6 + 1 (carry) = 10 → write 0, carry 1

• Units: 5 + 6 + 1 = 12 → write 2, carry 1

• Tens: 7 + 8 + 1 = 16

•   75.345

  + 86.691

  ---------

   162.036

Q3. A tailor uses 2.4 m of cloth for a kurta and 1.8 m for a salwar. How much total cloth is used?

Ans:
= 2.4 + 1.8 
Whole parts: 2 + 1 = 3
Tenths: 0.4 + 0.8 = 1.2
Now 3 + 1.2 
3 + 1 + 0.2 = 4.2 m

Q4. Shylaja bought 5.3 kg of rice and Priya bought 3.75 kg. How much more did Shylaja buy?

Ans:
Difference = 5.3 – 3.75 
= 5.30 – 3.75 = 1.55 kg

Q5. A person thinks 4.5 hours is 4 hours and 5 minutes. Explain why it is incorrect.

Ans:
0.5 hour = 30 minutes (½ of 60), not 5 minutes.
So, 4.5 hours = 4 hours + 30 minutes = 4:30 PM, not 4:05 PM.

 Q6. A 10.8 m long rope is cut into 3 equal parts. Each part is again folded into 2 equal halves. What is the length of each folded piece?

Ans:
Total rope = 10.8 m
Step 1: Cut into 3 equal parts
10.8 ÷ 3 = 3.6 m

Step 2: Each of 3.6 m is folded into 2 halves
3.6 ÷ 2 = 1.8 m

Each folded piece = 1.8 m

Q7. Continue the sequence:
4.4, 4.8, 5.2, 5.6, 6.0...

Ans:

Each number increases by +0.4.

Next 3 terms:

• 6.0 + 0.4 = 6.4

• 6.4 + 0.4 = 6.8

• 6.8 + 0.4 = 7.2

Next terms: 6.4, 6.8, 7.2

Q8.  A decimal number sequence increases by 0.375. The first term is 1.125. Find the 5th term and also write the sequence up to 5 terms.

Ans:
Start: 1.125
Add 0.375 repeatedly:

• Term 2: 1.125 + 0.375 = 1.500

• Term 3: 1.500 + 0.375 = 1.875

• Term 4: 1.875 + 0.375 = 2.250

• Term 5: 2.250 + 0.375 = 2.625

Sequence: 1.125, 1.5, 1.875, 2.25, 2.625

Q9. A ribbon isunits long. What is the length of each half when it is folded exactly in half?

Ans:

Step 1: Convert to decimal
= 8 + 0.9 = 8.9

Step 2: Divide by 2
8.9 ÷ 2 = 4.45

Each half is 4.45 units long

Q10. A pipe fills 0.875 litres of water every minute. How much water will it fill in 1 hour and 20 minutes?

Ans:
Total time = 1 hour 20 minutes = 60 + 20 = 80 minutes
Water filled in 1 minute = 0.875 litre

Water filled in 80 minutes = 0.875 × 80 
→  × 80 
→ 70000 ÷ 1000 = 70 liters

The pipe will fill 70 liters of water in 1 hour and 20 minutes.