Video: Understanding Place Value When Writing Numbers Marked on the Number Line

Which of these numbers belongs in the box? [A] 2200 [B] 2300 [C] 2400


Video Transcript

Which of these numbers belongs in the box? 2200, 2300, or 2400.

Our number line shows a section between 2000 and 3000. So there’s a gap of 1000 between both ends of our number line. We can also see that the number line has been split into sections. How many are there? Let’s count the sections in between each marker. One, two, three, four, five, six, seven, eight, nine, 10 equal sections. So if the difference between 2000 and 3000 is 1000 and it’s been split into 10 equal sections, then each section must be worth 100. And so we can count in hundreds to find out which of the numbers belong in the box. 2100, 2200.

And so we can see now that the first of our possible answers is not correct. And we can also say that our answer is going to be 100 more than 2200. The answer is 2300. We said that the gap between the two numbers at either end of the number line was 1000. And the number line had been split into 10 equal sections. So we knew that each section was worth 100. The box is labeled on the number line is three sections along. Three lots of 100 is 300. And so we know the number that belongs in the box is 2300.

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