Rounding to 3 Significant FiguresPractise your approximation and rounding skills with this online, self-marking exercise. |
This is level 6; Rounding numbers to three significant figures. You can earn a trophy if you get at least 17 correct.
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
InstructionsTry 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. |
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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." |
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AnswersThere 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 |
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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.
See the National Curriculum page for links to related online activities and resources.
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.
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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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.]"