Sure, let's arrange the given quantities in order from smallest to largest by converting them all into a common unit, which we'll choose as liters (L).
### Step 1: Convert each quantity to liters
#### Quantity 1: 2.7 kL
We know that 1 kiloliter (kL) is equal to 1,000 liters (L). Therefore, to convert 2.7 kL to liters:
[tex]\[ 2.7 \, \text{kL} = 2.7 \times 1000 \, \text{L} = 2700 \, \text{L} \][/tex]
#### Quantity 2: 119,000 mL
We know that 1 milliliter (mL) is equal to 0.001 liters (L). Therefore, to convert 119,000 mL to liters:
[tex]\[ 119,000 \, \text{mL} = 119,000 \times 0.001 \, \text{L} = 119 \, \text{L} \][/tex]
#### Quantity 3: 57.8 hL
We know that 1 hectoliter (hL) is equal to 100 liters (L). Therefore, to convert 57.8 hL to liters:
[tex]\[ 57.8 \, \text{hL} = 57.8 \times 100 \, \text{L} = 5780 \, \text{L} \][/tex]
### Step 2: Order the quantities from smallest to largest
Now that all quantities are converted to liters, we have:
- [tex]\( 2.7 \, \text{kL} = 2700 \, \text{L} \)[/tex]
- [tex]\( 119,000 \, \text{mL} = 119 \, \text{L} \)[/tex]
- [tex]\( 57.8 \, \text{hL} = 5780 \, \text{L} \)[/tex]
We can now compare these values in liters:
[tex]\[ 119 \, \text{L}, \, 2700 \, \text{L}, \, 5780 \, \text{L} \][/tex]
### Step 3: Write the quantities in their original form, ordered from smallest to largest
The original quantities in ascending order are:
[tex]\[ 119,000 \, \text{mL}, \, 2.7 \, \text{kL}, \, 57.8 \, \text{hL} \][/tex]
Therefore, the quantities arranged from smallest to largest are:
[tex]\[ 119,000 \, \text{mL}, 2.7 \, \text{kL}, 57.8 \, \text{hL} \][/tex]
