GCSE Mathematics (9-1)

7.3 Rounding and error intervals — Practise

  1. Round 38.47638.476 to 2 decimal places.
  2. Round 0.0063840.006384 to 2 significant figures.
  3. A length is 12.612.6 cm to the nearest 0.10.1 cm. Write its error interval.
  4. A mass is 540540 g to the nearest 1010 g. Give its lower and upper bounds.
  5. Round 7.9957.995 to 2 decimal places.
  6. Estimate 49.8×19.749.8\times19.7 by rounding each value to 1 significant figure.
  7. Round 0.08470.0847 kg to 2 significant figures.
  8. A number rounds to 250250 to the nearest 1010. Is 255255 included in its interval?
  9. H H A value is 3.403.40 to 3 significant figures. Give its error interval.
  10. A time rounds to 6.26.2 seconds to the nearest 0.10.1 second. Give its interval and explain the upper sign.
Answers and concise solutions

1. Round to 2 decimal places

Answer: 38.4838.48.

2. Round to 2 significant figures

Answer: 0.00640.0064.

3. Error interval

Answer: 12.55≤L<12.6512.55\leq L<12.65 cm.

4. Bounds from rounding

Answer: 535≤m<545535\leq m<545 g.

5. Round a carry value

Answer: 8.008.00.

6. Estimate a product

Answer: About 10001000.

7. Round a small measurement

Answer: 0.0850.085 kg.

8. Interpret an endpoint

Answer: No. The interval is 245≤x<255245\leq x<255.

9. Significant-figure interval

Answer: 3.395≤x<3.4053.395\leq x<3.405.

10. Explain an interval

Answer: 6.15≤t<6.256.15\leq t<6.25; 6.256.25 rounds to 6.36.3.

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