Video: Arranging Integers in Ascending Order According to Their Absolute Value

Order the following from least to greatest: −1, −12, −18, |−5|, 4, −19.

01:21

Video Transcript

Order the following from least to greatest: negative one, negative 12, negative 18, the absolute value of negative five, four, and negative 19.

Here we have our numbers. The only one that looks a little bit different is this one because it’s the absolute value of negative five, and absolute value signs make any number positive, so this is actually a positive five.

So let’s go ahead and place these numbers on a number line to help us decide the order from least to greatest. So here we have a number line. Going to right, in the positive direction, would be in the greatest direction. Going towards the left, in the negative direction, would be in the least direction.

So now let’s plot these. Negative one would be located around here. Negative 12 would be around here. Negative 18 would be here. The absolute value of negative five, which is truly a positive five, would be here. Four would be just below five. And negative 19 would be very close to negative 20.

So to go from least to greatest, it will be actually the order on this number line, left to right. Therefore, we get negative 19, negative 18, negative 12, negative one, four, and the absolute value of negative five.

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