Video: Unit Conversions with Capacities

Arrange in ascending order: 7.6 L, 1200 mL, 5800 mL, 7.8 L.


Video Transcript

Arrange in ascending order: 7.6 liters, 1200 milliliters, 5800 milliliters, 7.8 liters.

So we’ve been given four capacities and asked to arrange them into ascending order, which means increasing from smallest to biggest.

Some of the capacities have been given in liters, whereas others have been given in milliliters. In order to compare them, we need to convert to a common unit. We therefore need to recall the key fact that one liter is equivalent to 1000 milliliters. We’ll convert the two measurements that have been given in liters into milliliters.

Each liters is equivalent to 1000 milliliters. So to convert 7.6 liters into milliliters, we need to multiply by 1000. 7.6 liters is therefore equivalent to 7600 milliliters. We convert 7.8 liters into milliliters in exactly the same way, by multiplying 7.8 by 1000. 7.8 liters is equivalent to 7800 milliliters.

Now that we have a common unit for the four capacities, we can put the original four values into ascending order. The smallest value is 1200 milliliters. The next smallest value is 5800 milliliters. The next smallest is 7600 milliliters, which was equivalent to 7.6 liters.

The final and largest value is 7800 milliliters, which is equivalent to 7.8 liters. The four capacities arranged in ascending order are 1200 milliliters, 5800 milliliters, 7.6 liters, and 7.8 liters.

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