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Math Lesson 2.1.5 - Explaining Rounding in the Number Axis

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Welcome to our Math lesson on Explaining Rounding in the Number Axis, this is the fifth lesson of our suite of math lessons covering the topic of Rounding and Significant Figures, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

Explaining Rounding in the Number Axis

The rounding process can be more easily understood when numbers are shown in the number axis. For example, the number 7 is shown in the number axis as follows

Math Tutorials: Rounding and Significant Figures Example

From the figure, it is clear that the number 7 is closer to 10 than 0. Hence, when rounded to the nearest ten, the number 7 becomes 10.

When rounding to the nearest 10, 100 or 1000 is shown in the number line, it is not necessary to show all numbers from 0 to several thousands, we can simply show the part of number axis around the number involved. For example, if we have to round 543 to the nearest 10, 100 and 1000, we can use the following figures to clarify this process, where the original number is indicated by arrow while the new number after rounding is indicated by a circle:

Math Tutorials: Rounding and Significant Figures Example

More Rounding and Significant Figures Lessons and Learning Resources

Approximations Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
2.1Rounding and Significant Figures
Lesson IDMath Lesson TitleLessonVideo
Lesson
2.1.1What is Rounding
2.1.2Rounding to the Nearest Ten
2.1.3Rounding to the Nearest Hundred
2.1.4Rounding to the Nearest Thousand
2.1.5Explaining Rounding in the Number Axis
2.1.6Other Types of Rounding
2.1.7Significant Figures
2.1.8Rules of Significant Figures
2.1.9Applications of Significant Figures

Whats next?

Enjoy the "Explaining Rounding in the Number Axis" math lesson? People who liked the "Rounding and Significant Figures lesson found the following resources useful:

  1. Number Axis Feedback. Helps other - Leave a rating for this number axis (see below)
  2. Approximations Math tutorial: Rounding and Significant Figures. Read the Rounding and Significant Figures math tutorial and build your math knowledge of Approximations
  3. Approximations Video tutorial: Rounding and Significant Figures. Watch or listen to the Rounding and Significant Figures video tutorial, a useful way to help you revise when travelling to and from school/college
  4. Approximations Revision Notes: Rounding and Significant Figures. Print the notes so you can revise the key points covered in the math tutorial for Rounding and Significant Figures
  5. Approximations Practice Questions: Rounding and Significant Figures. Test and improve your knowledge of Rounding and Significant Figures with example questins and answers
  6. Check your calculations for Approximations questions with our excellent Approximations calculators which contain full equations and calculations clearly displayed line by line. See the Approximations Calculators by iCalculator™ below.
  7. Continuing learning approximations - read our next math tutorial: Upper and Lower Bounds. Intervals and Segments

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