Starter quiz
- An __________ is any positive or negative whole number and zero.
- approximation
- average
- estimate
- integer ✓
-
- Round 384 to the nearest 10.
- '380' ✓
- Round 30.499999 to the nearest integer.
- '30' ✓
- Round 0.0002832 to 1 significant figure.
- '0.0003' ✓
- When a number is rounded to the nearest integer it is 4. Select the possible unrounded numbers.
- 4.238 ✓
- 3.90349 ✓
- 3.99843 ✓
- 3.099999
- 3.4999999
-
- Round each number in the calculation to 1 significant figure and calculate the answer. . Give your answer as an integer.
- '10' ✓
Exit quiz
- State the smallest and largest integers that round to 680 when rounded to the nearest 10.
- Smallest integer = 674, largest integer = 684
- Smallest integer = 670, largest integer = 680
- Smallest integer = 670, largest integer = 690
- Smallest integer = 675, largest integer = 684 ✓
-
- State the smallest and largest integers that round to 500 when rounded to the nearest 20.
- Smallest integer = 480, largest integer = 514
- Smallest integer = 490, largest integer = 509 ✓
- Smallest integer = 500, largest integer = 510
- Smallest integer = 485, largest integer = 514
- Smallest integer = 490, largest integer = 514
-
- State the smallest and largest integers that round to 700 when rounded to the nearest 50.
- Smallest integer = 675, largest integer = 725
- Smallest integer = 674 largest integer = 724
- Smallest integer = 725, largest integer = 734
- Smallest integer = 675, largest integer = 724 ✓
- Smallest integer = 674, largest integer = 725
-
- An advert for a magazine says 37 000 people buy the magazine rounded to the nearest 1000. The fewest people who buy the magazine is ______ people.
- '36 500' ✓
- A plot of rectangular land measure 2.39 km (1 d.p.) by 5.78 km (1 d.p.). Five pupils work out the area of the plot of land. Whose working out and answer shows the most accurate answer to 1 d.p?
- Andeep: km
- Laura: km ✓
- Sofia: km
- Jun: km
- Lucas: km ✓
-
- A large plot of land has an area of 20 km². A small, rectangular lake with lengths 3.254 km by 4.814 km is planned, leaving the rest of the land as grass. Work out the area of grass to 1 d.p.
- 3.3 km²
- 4.1 km²
- 4.3 km² ✓
- 4.5 km²
-
Worksheet
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Presentation
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Lesson Details
Key learning points
- When given a rounded number you can say what the biggest and smallest values of the unrounded number could have been.
- When using technology for multi-step calculations you might round along the way.
- Rounding too early can cause answers to be incorrect
- Repeated rounding in multi-step calculations can lead to large errors.
Common misconception
Rounding prematurely during multi-step calculations.
Encourage to use of fractions (where possible) or the use of the ANS button.
Keywords
Significant figures - Significant figures are the digits in a number that contribute to the accuracy of the number
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