Transum Software

Rounding to 3 Significant Figures

Practise your approximation and rounding skills with this online, self-marking exercise.

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This is level 6; Rounding numbers to three significant figures. You can earn a trophy if you get at least 17 correct.

34.84

Correct Wrong

39.54

Correct Wrong

5.717

Correct Wrong

695.4

Correct Wrong

7992

Correct Wrong

5732

Correct Wrong

31550

Correct Wrong

43260

Correct Wrong

438500

Correct Wrong

392900

Correct Wrong

0.5843

Correct Wrong

0.6477

Correct Wrong

0.05118

Correct Wrong

0.02474

Correct Wrong

0.008481

Correct Wrong

0.008393

Correct Wrong

8292000

Correct Wrong

66960000

Correct Wrong

0.0003393

Correct Wrong

0.0002498

Correct Wrong

0.0004993

Correct Wrong

Check

This is 'Rounding to 3 Significant Figures'. You can also try rounding to:
Whole number 1 decimal place 2 decimal places 1 sig fig 2 sig figs Ten, hundred etc

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 3 October 'Starter of the Day' page by Fiona Bray, Cams Hill School:

"This is an excellent website. We all often use the starters as the pupils come in the door and get settled as we take the register."

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

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Featured Activity

Nim

Nim

A very old game but one which involves mathematical based strategies. Take turns with the computer to remove items from the piles. You can remove as many items from the same row as you like. Whoever removes the last item is the winner.

Answers

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Ole Frehr, Denmark

Wednesday, August 12, 2015

"I just found your web page with the online quiz with three significant figures. It's great! Thank you for putting it online! I think my students will enjoy it."

Miss Molinga,

Friday, March 16, 2018

"Love your game thank you."

Lauri Johnson, Eastern Hancock High School

Monday, August 14, 2023

"Some of the questions for 3 sigfigs require the student to write the answer so that it only has 2 sigfigs. For example, 87954 to 3 sigfigs is 8.80 x 10^4, but the practice wants the answer to be 88000. But that answer only has 2 sigfigs. Only a few questions come up like this, but I wanted to pass is along. Other than that, this is a GREAT practice for my chem students. Thanks for making this available.

[Transum: Thanks very much Lauri, that's an excellent point. I have added information to the Help tab to explain the situation with examples of how to avoid ambiguity.]"

Apple

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Description of Levels

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Level 1 - Rounding numbers to the nearest whole number

Level 2 - Rounding numbers to one decimal place

Level 3 - Rounding numbers to two decimal places

Level 4 - Rounding numbers to one significant figure

Level 5 - Rounding numbers to two significant figures

Level 6 - Rounding numbers to three significant figures

Level 7 - Rounding numbers to the nearest ten, hundred etc

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

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

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

Example

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

Ways to denote significant figures in an integer with trailing zeros

Adapted from a longer piece in a Wikipedia article

The significance of trailing zeros in a number not containing a decimal point can be ambiguous. For example, it may not always be clear if the number 1300 is precise to the nearest unit (just happens coincidentally to be an exact multiple of a hundred) or if it is only shown to the nearest hundreds due to rounding or uncertainty. The following widely recognised options are available for indicating the significance of number with trailing zeros:

For the purpose of answering the questions in the higher level exercises these methods are not necessary as your typed answers appear on the same page as the instructions stating the number of significant figures required.

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