College

Convert the following measure: 124.3 hectoliters to deciliters.

Select one of the four options:

A. 98,500 dl
B. 187,600 dl
C. 152,700 dl
D. 124,300 dl

Answer :

To convert from hectoliters to deciliters, we first need to understand the conversion factors between the units:

1. There are [tex]$100$[/tex] liters in [tex]$1$[/tex] hectoliter:
[tex]$$1\,\text{hl} = 100\,\text{L}.$$[/tex]
2. There are [tex]$10$[/tex] deciliters in [tex]$1$[/tex] liter:
[tex]$$1\,\text{L} = 10\,\text{dl}.$$[/tex]

To combine these, multiply the factors:
[tex]$$1\,\text{hl} = 100\,\text{L} \times 10\,\text{dl per L} = 1000\,\text{dl}.$$[/tex]

Now, to convert [tex]$124.3$[/tex] hectoliters to deciliters, multiply by the conversion factor:
[tex]$$124.3\,\text{hl} \times 1000\,\text{dl per hl} = 124300\,\text{dl}.$$[/tex]

Thus, the final answer is:
[tex]$$124300\,\text{dl}.$$[/tex]