03. A Peek Beyond The Point Chapter short and Long Questions Answer

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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

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 = 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 = 0.875 × 80 =
→ 875 × 80 = 70000
→ 70000 ÷ 1000 = 70 liters

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