03. A Peek Beyond The Point Chapter very short Questions answer

Q1. Estimate the sum of 25.936 and 8.202. Then calculate the exact sum. Is your estimation close?

Solution:
Estimate:
25.936 ≈ 26
8.202 ≈ 8
Estimated sum = 26 + 8 = 34

Actual sum = 25.936 + 8.202 = 34.138

Yes, estimation is close to actual.

Q2. Convert the following to decimals:

(a) 6 ones and 5 tenths
(b) 125 tenths

Solution:
(a) 6 + 5/10 = 6.5
(b) 125 ÷ 10 = 12.5

Q3. A chocolate bar weighs 0.85 kg. What is the total weight of 6 such bars?

Solution:

0.85 × 6 = 5.10 kg

Q4. Convert the following:

(a) 6.2 cm to mm
(b) 46 mm to meters

Solution:

(a) 6.2 × 10 = 62 mm
(b) 46 ÷ 1000 = 0.046 meters

Q5. Estimate the sum of 39.847 and 11.205 by rounding off the numbers. Then find the exact sum. Compare both.

Solution:

Estimate:

39.847 ≈ 40

11.205 ≈ 11

Estimated sum = 40 + 11 = 51

Exact sum = 39.847 + 11.205 = 51.052
Comparison: The estimate (51) is very close to the actual sum (51.052), showing estimation is useful for quick checks.

Q6. Express 328 grams in kilograms.

Solution:

328 ÷ 1000 = 0.328 kg

Q7. Rahul walked 2.9 km in the morning and 4.7 km in the evening. What was the total distance he walked? Express your answer as a decimal and a mixed fraction.