High School

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------------------------------------------------ Convert the following into the units as indicated in brackets and then multiply:

1. 2 L 8 dL 9 cL 9 mL by 6 (L)

Answer :

The result of multiplying 2 liters 8 centiliters 9 milliliters by 6 is 16 liters 5 deciliters 4 centiliters 4 milliliters.

The initial quantity is given in various metric units: 2 liters, 8 centiliters, 9 milliliters. To perform multiplication, we first convert all units to a common unit, which is liters. Converting 8 centiliters to liters, we get 0.08 liters, and 9 milliliters to liters is 0.009 liters. Thus, the total initial quantity is 2 + 0.08 + 0.009 = 2.089 liters. Now, we multiply this quantity by 6, resulting in 12.534 liters.

To express this result in various metric units again, we perform unit conversion. Converting 12.534 liters to liters and deciliters, we get 12 liters and 5 deciliters. To express the remaining quantity, we need to convert it to smaller units. Converting the remaining 0.534 liters to centiliters, we get 53.4 centiliters, and converting 0.4 centiliters to milliliters, we have 4 milliliters.

So, the final result of the multiplication is 16 liters 5 deciliters 4 centiliters 4 milliliters.

In this process, we converted various metric units to a common unit, performed the multiplication, and then converted the result back to the original units to get the final answer.

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