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Question Video: Identifying Decimals on a Number Line Mathematics

Which point marked on the following number line represents 0.35?

02:21

Video Transcript

Which point marked on the following number line represents 0.35?

In this question, we’re given a number line which has three points 𝐴, 𝐵, and 𝐶 already marked. We have to select the point which represents 0.35. Is it point 𝐴, 𝐵, or 𝐶? Let’s try and work out what each interval on the number line is worth. So we start at zero and go up to 0.25, 0.50, 0.75, and another twenty-five hundredths takes us to one whole or a hundred hundredths.

So if the difference between each of our numbers is twenty-five hundredths, what is each division worth? It must be five hundredths: zero, 0.5, 0.10, 0.15, 0.20, 0.25. So we know that point 𝐴 represents 0.15. We’re looking for the point which shows 0.35. Now that we’ve eliminated point 𝐴, we know it’s got to be 𝐵 or 𝐶. Let’s carry on counting from 0.25: 0.30, 0.35. Point 𝐵 represents 0.35 and point 𝐶 represents 0.40. Out of our three points marked on the number line, the one which represents 0.35 is point 𝐵. We worked out what each division on the number line was worth. And we counted forward in five hundredths each time until we found the point which represented 0.35. Point 𝐵 shows 0.35.

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