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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.
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
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:
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