Question Video: Converting Capacities and Arranging Them in Ascending Order Mathematics

Arrange in ascending order: 1800 cm³, 6.8 dm³, 1.3 dm³, 1100 cm³.

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Video Transcript

Arrange in ascending order: 1800 cubic centimeters, 6.8 cubic decimeters, 1.3 cubic decimeters, and 1100 cubic centimeters.

As we are asked to arrange the values in ascending order, we need to do so from least to greatest. In order to do this, we need to ensure that our units are the same. Currently, we have two in cubic centimeters and two in cubic decimeters. We recall that there are 1000 cubic centimeters in one cubic decimeter. This means that, in order to convert from cubic centimeters to cubic decimeters, we need to divide by 1000. To convert from cubic decimeters to cubic centimeters, we multiply by 1000. This is the method we will use in this question. We will convert 6.8 and 1.3 cubic decimeters into cubic centimeters.

When multiplying by 1000, we move all the digits three places to the left. So 6.8 multiplied by 1000 is 6800. In the same way, 1.3 multiplied by 1000 is 1300. We now have all four values in cubic centimeters. The smallest or least value is 1100 cubic centimeters. The next smallest value was 1300 cubic centimeters, which is the same as 1.3 cubic decimeters. Next, we have 1800 cubic centimeters. And finally, the largest or greatest value is 6800 cubic centimeters or 6.8 cubic decimeters. In order to write any set of values in ascending or descending order, we firstly need to ensure that all the units are the same.

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