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Year 8 - Maths

Securing understanding of rounding

Estimation and rounding

Unit Summary

This unit helps pupils understand rounding to different decimal places, and significant figures. Pupils will also learn how to truncate numbers and understand the contexts in which these skills are useful. The unit ends will an exploration of rounding and inequality errors.

Lesson Summary

You will learn to recognise when values have been rounded and state sensible suggestions of what the unrounded value could have been.

Key Notes

  • When a number has been rounded you can make conjectures about what the unrounded number could have been.
  • Rounding can be very useful in real life contexts particularly measure.
  • When working in some real life contexts you are often working to a certain degree of accuracy.
  • Numbers in different contexts will be rounded to a different degree of accuracy (e.g. distance when walking or flying).

Vocabulary To Learn

  • Conjecture: A (mathematical) statement that is thought to be true but has not been proved yet.
  • Degree of accuracy: A degree of accuracy shows how precise a number or measurement is. E.g. to the nearest cm, nearest 10, 1 d.p., etc.

Common Mistakes To Avoid

  • The assumption that if a number ends in 2 zeros it must have been rounded to the nearest hundred.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

When a number has been rounded you can make conjectures about what the unrounded number could have been. Rounding can be very useful in real life contexts particularly measure.

2. Use this key word in a maths sentence and explain it clearly. 'Conjecture'

A (mathematical) statement that is thought to be true but has not been proved yet. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: The assumption that if a number ends in 2 zeros it must have been rounded to the nearest hundred. Correction: Choose examples that round to the same value when rounded to the nearest ten and hundred in this case. E.g. 398, rounds to 400 to the nearest ten and 400 to the nearest hundred.

More Lessons In This Unit

Browse all guides in the Year 8 Maths guide library.