Video: Ordering Given Numbers in Ascending Order

These numbers are ordered from least to greatest: 142, 238, _, _, 688, _, 968. Use the numbers 544, 355, and 722 to fill in the gaps.

02:52

Video Transcript

These numbers are ordered from least to greatest: 142, 238, blank, blank, 688, blank, 968. Use the numbers 544, 355, and 722 to fill in the gaps.

We know that these numbers are ordered from least to greatest. That means we’ll be moving from smallest to largest. And we have three spaces to fill in. The first two spaces fall between 238 and 688. From our list, which one of these three values is larger than 238 and smaller than 688? Well, 722 is larger than 688. Seven hundreds is more than six hundreds. And that means that 722 can go in between 688 and 968. 722 fills in our third space.

Back to these two, how do we know what order 544 and 355 will go in? We look at their largest place value. We look at the hundreds place. 544 has a five in the hundreds place. 355 has a three in the hundreds place. Because three is smaller than five, 355 comes first on our list of numbering things from least to greatest. And that leaves us with 544 next.

By ordering our values from least to greatest, we saw that the first blank would be 355, the second blank would be 544, and the third blank would be 722.

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