To arrange the given units in order from largest to smallest, it's essential to understand their relative sizes. Here's the list of units we need to arrange: [tex]\( m^3, \text{mL}, \text{cL}, \mu \text{L}, \text{L}, \text{dL} \)[/tex].
1. Cubic Meter ([tex]\( m^3 \)[/tex]): This is the largest unit. One cubic meter equals 1,000 liters.
2. Liter ([tex]\( L \)[/tex]): One liter is a unit of volume. It is significantly smaller than a cubic meter, as 1 cubic meter equals 1,000 liters.
3. Deciliter ([tex]\( dL \)[/tex]): One deciliter is one-tenth of a liter. Hence, 1 liter equals 10 deciliters.
4. Centiliter ([tex]\( cL \)[/tex]): One centiliter is one-hundredth of a liter. Thus, 1 liter equals 100 centiliters.
5. Milliliter ([tex]\( mL \)[/tex]): One milliliter is one-thousandth of a liter. Therefore, 1 liter equals 1,000 milliliters.
6. Microliter ([tex]\( \mu L \)[/tex]): One microliter is one-millionth of a liter. Hence, 1 liter equals 1,000,000 microliters.
Now, arranging them from the largest to smallest:
1. [tex]\( m^3 \)[/tex]
2. [tex]\( L \)[/tex]
3. [tex]\( dL \)[/tex]
4. [tex]\( cL \)[/tex]
5. [tex]\( mL \)[/tex]
6. [tex]\( \mu L \)[/tex]
So the ordered list from largest to smallest is:
[tex]\[ m^3, L, dL, cL, mL, \mu L \][/tex]
