Question Video: Arranging Measuring Units | Nagwa Question Video: Arranging Measuring Units | Nagwa

Question Video: Arranging Measuring Units Mathematics

Arrange in descending order: 3.9 L, 6,600 mL, 6.9 L, 2,800 mL.


Video Transcript

Arrange in descending order: 3.9 liters, 6600 milliliters, 6.9 liters, 2800 milliliters.

The first thing we should notice here is that we’re given quantities that have two different units. Some are given in liters and some are given in milliliters. Before we can put these in order, they’ll need to be in the same unit, so we can either change them all to liters or all to milliliters. Either way, we’ll need to remember the important conversion that in 1000 millimeters, there’s one liter.

So let’s take our liter quantities and change these into values in milliliters. To change a quantity in liters into milliliters, we can multiply by 1000. So let’s take our value of 3.9 liters and multiply 3.9 by 1000. When we multiply by 1000, we move all our digits three places to the left. So our value will be 3900 milliliters. 6600 milliliters is already in milliliters, but we’ll bring it down so that we can compare it in a second.

6.9 is a value in liters, so once again we’ll need to multiply it by 1000 to find the equivalent value in milliliters. Once again, we move all of the digits three places to the left when we’re multiplying by 1000, so this will give us 6900 milliliters. Finally, we have the value of 2800 milliliters.

Now, let’s put these four values in order, but we must be careful. We’re told that it should be in descending order. That’s from the largest value to the smallest value. Looking at our four quantities then, we could see that the largest one is 6900 milliliters. But we should be careful as we want to give it in its original form. That’s 6.9 liters. Going down in size then, our next quantity would be 6600 milliliters, which we can write in the same way as it was originally given. Next, we have 3900 milliliters, which we’ll write as 3.9 liters. And so we’re left with one value, 2800 milliliters. And we can check that it is indeed the smallest of these values.

We can, therefore, give the answer that these quantities in descending order are 6.9 liters, 6600 milliliters, 3.9 liters, and 2800 milliliters. In this approach, we changed all of our values into a quantity in milliliters. We could have also changed them all into liters. 3.9 liters and 6.9 liters would have stayed the same. 6600 milliliters would have been 6.6 liters. And 2800 milliliters would be 2.8 liters. The largest value in liters would still be 6.9 liters, followed by 6.6 liters — which is 6600 milliliters — followed by 3.9 liters, and finally, our quantity of 2.8 liters, which was 2800 milliliters. And so we’ve confirmed our answer.

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