Transum Software

Rounding to 3 Significant Figures

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

Menu Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Help More...

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

82.92

Correct Wrong

76.75

Correct Wrong

6.916

Correct Wrong

858.7

Correct Wrong

1988

Correct Wrong

5121

Correct Wrong

22760

Correct Wrong

25810

Correct Wrong

494600

Correct Wrong

789200

Correct Wrong

0.3522

Correct Wrong

0.8789

Correct Wrong

0.04172

Correct Wrong

0.03256

Correct Wrong

0.006214

Correct Wrong

0.001497

Correct Wrong

7292000

Correct Wrong

61950000

Correct Wrong

0.0008896

Correct Wrong

0.0001993

Correct Wrong

0.0030589

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 s /Coordinate 'Starter of the Day' page by Greg, Wales:

"Excellent resource, I use it all of the time! The only problem is that there is too much good stuff here!!"

Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales:

"A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

Featured Activity

ChrisMaths

ChrisMaths

Christmas activities make those December Maths lessons interesting, exciting and relevant. If students have access to computers there are some online activities to keep them engaged such as Christmas Ornaments and Christmas Light Up.

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.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:

Subscribe

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.]"

Heerpal, London

Wednesday, September 25, 2024

"Thank you so much for your website, I it to help me teach often.
I have just been looking at the "rounding" resource, specifically the problems with significant figures, and the does not seem to genereate any numbers with a 'significant' zero - i.e. every digit after the first significant figure is non-zero. It would be great if this resource could generate problem like "Round 0.0030589 to 3s.f.". I have found that these kinds of problems really trip up stundents as they often think that 'zeroes are not significant' and having questions to address this issue would help highlight this misconception. Perhaps the page could even force a few examples like this?

[Transum: Thanks for the suggestion Heerpal. I have added your suggested format as the last question on Levels 5 and 6. Thank you.]"

Transum.org is a proud supporter of the kidSAFE Seal Program

Description of Levels

Close

Close

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.

Log in Sign up

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.

Close

Close