Question Video: Representing Three-Digit Numbers on Number Lines | Nagwa Question Video: Representing Three-Digit Numbers on Number Lines | Nagwa

Question Video: Representing Three-Digit Numbers on Number Lines Mathematics

The line shows a sequence of whole numbers. What numbers are missing?

02:10

Video Transcript

This line shows a sequence of whole numbers. What numbers are missing?

The first sentence of this question is a really good way of saying what a number line is. It’s a line that shows a sequence of numbers or, in other words, it’s a way of showing numbers in order. And we can see with this number line that our numbers get bigger. We start with 100, and it goes all the way up to 900. But can you see there are two missing numbers along the way? What are they?

Let’s look at our first number to begin with. The first thing we can say about this missing number is that it comes after 100. But that’s not really much of a help. We could be counting in ones, in which case our missing number is 101. Or maybe we’re counting in 10s. 100, 110.

To decide what our missing number is, we need to look really carefully at our number line to see what the scale is, in other words, to see what we’re counting on in each time. Let’s look at some numbers that are in a row that we know already. 300, 400, 500, 600. Can you spot what we’re counting in? This number line shows jumps of 100. So if we go back to the very beginning and we start with 100 and make a jump of another 100, we can see that our first missing number is going to be 200. And this fits in with the sequence, doesn’t it? 100, 200, 300, 400, 500, 600.

What’s the next missing number going to be? What’s 100 more than 600? It’s 700. Let’s count along the whole number line. 100, 200, 300, 400, 500, 600, 700, 800, 900. We worked out that the scale of this number line was to count in 100s. And that’s how we know the two numbers that are missing are 200 and 700.

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