An exercise on rounding values in a calculation to find an approximate estimate of the answer.

RoundingLevel 1Level 2Level 3Level 4BoundsExam-StyleDescriptionHelpMore ...

This is level 1: round the numbers in a basic calculation to one significant figure to obtain an approximate answer. You will be awarded a trophy if you get at least 9 correct and you do this activity online.

 $$19 + 41 + 28$$ $$19 + 41 + 23$$ $$92 + 78 + 57$$ $$26 + 12 - 7$$ $$37 - 22 + 691$$ $$617 - 87 - 37$$ $$92 \times 69$$ $$82 \times 12$$ $$59 \times 28 + 696$$ $$3216 \times 5$$ $$7826 \div 37$$ $$994 + 99 \times 98$$
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This is Rough Answers level 1. You can also try:
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Instructions

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Jen, Australia

Saturday, June 1, 2019

"I just tried level one. It looks like a great way to reinforce significant figures to students, through mental estimates! However, the question says give answers to one significant figure - and I just got most of the questions "wrong", as your answers are mostly to 2 significant figures."

Transum,

Sunday, June 2, 2019

"Thanks very much for your feedback Jen. The instructions ask for the numbers in the questions to be rounded to one significant figure; not the answers. The answers should be given exact after the pre-calculation rounding has taken place. Once again thanks for the feedback, much appreciated."

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Description of Levels

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Rounding - Before doing these exercises you will need to know how to round numbers to one significant figure.

Level 1 - Round the numbers in a basic calculation to one significant figure to obtain an approximate answer

Level 2 - Round the numbers to one significant figure to obtain an approximate answer to calculations including decimals and fractions

Level 3 - Determine whether an approximation is a over-estimate or an under-estimate if each of the numbers are rounded to one significant figure

Level 4 - Real life problems and puzzles

Bounds - Determine the upper and lower bounds when rounding or truncating quantities used in calculations.

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

Breathe Easily - A real-life question that can be (roughly) answered by making some approximations.

Fermi Problem - Unleash your approximating skills to estimate something quite unknown in this Advanced Starter.

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Example

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