Answer :
Let's break down the problem step-by-step for clarity. We'll approach each part separately.
Part (a):
Convert all the measurements to centiliters (cl) to add them up.
340 ml:
- 1 milliliter (ml) = 0.1 centiliters (cl)
- [tex]340 \text{ ml} \times 0.1 = 34 \text{ cl}[/tex]
18 cl:
- Already in centiliters, no conversion needed.
9 l:
- 1 liter (l) = 100 centiliters (cl)
- [tex]9 \text{ l} \times 100 = 900 \text{ cl}[/tex]
Now, add them up:
(
34 \text{ cl} + 18 \text{ cl} + 900 \text{ cl} = 952 \text{ cl}
)
Part (b):
Convert all measurements to liters (l) to make calculation easier.
899 l:
- Already in liters, no conversion needed.
9000 ml:
- 1 milliliter (ml) = 0.001 liters (l)
- [tex]9000 \text{ ml} \times 0.001 = 9 \text{ l}[/tex]
830 dl:
- 1 deciliter (dl) = 0.1 liters (l)
- [tex]830 \text{ dl} \times 0.1 = 83 \text{ l}[/tex]
Now, subtract the converted quantities from 899 l:
(
899 \text{ l} - 9 \text{ l} - 83 \text{ l} = 807 \text{ l}
)
Part (c):
Again, convert all to centiliters (cl).
980 cl:
- Already in centiliters, no conversion needed.
8 l:
- 1 liter (l) = 100 centiliters (cl)
- [tex]8 \text{ l} \times 100 = 800 \text{ cl}[/tex]
58 dl:
- 1 deciliter (dl) = 10 centiliters (cl)
- [tex]58 \text{ dl} \times 10 = 580 \text{ cl}[/tex]
1200 ml:
- 1 milliliter (ml) = 0.1 centiliters (cl)
- [tex]1200 \text{ ml} \times 0.1 = 120 \text{ cl}[/tex]
Calculate:
(
980 \text{ cl} - 800 \text{ cl} + 580 \text{ cl} - 120 \text{ cl} = 640 \text{ cl}
)
Therefore, the final results are:
- (a) 952 cl
- (b) 807 l
- (c) 640 cl