(1)

a) 5270 cl = ? dal

b) 5.3 kl = ? hl

c) 58000 ml = ? dal

d) 0.39 dal = ? l

e) 7.8 dal = ? dl

f) 57.2 ml = ? cl

(2)

a) 3.7 l = ? cm\(^3\)

b) 29.6 dm\(^3\) = ? cl

c) 8.1 l = ? cm\(^3\)

d) 5 l = ? m\(^3\)

e) 5.2 cl = ? mm\(^3\)

f) 375 ml = ? cm\(^3\)

g) 1300 cm\(^3\) = ? dl

h) 8.6 ml = ? mm\(^3\)

i) 51.8 × 10\(^ {11}\) liters = ? km\(^3\)

1) These metric volume units can be easily converted by dividing or multiplying by 10 and its multiple. Like this: each step up on the ladder multiply by 10. Each step down divide by 10

[tex]a)5270 \:cl=527\:dl\\b)kl=5.3 \times 10=530 hl\\c)58000ml=5.8 dal =(\frac{58000}{10000})\\d)0.39 dal=3.9 l\\e)7.8 dal=780 dl\\f)57.2 ml=5.72 cl[/tex].

2) When it comes to area, the "ladder scheme" remains valid but now we'll multiply or divide by

[tex]10^3[/tex]

Bear in mind these useful relations:

[tex]1litre =\frac{1}{10^3}m^{3}[/tex]

[tex]1 cm^{3} =1 ml[/tex]

[tex]a) 3.7 l=3700 cm^{3}\\b)29.6 dm^{3}\\29.6 dm^{3} \rightarrow 29.6\times10^{3} cm^3=29.6\times10^{3} ml = 29.6\times10^{2} cl \:or\:2960 cl\\c)8.1l=8100 cm^{3}\\d)5l=\frac{5}{10^{-3}} m^{3}\\e)5.2 cl=52ml=52 cm^{3}=52\times10^{3}=52000 \:mm^{3}\\f)375 ml=375 cm^{3}\\g) 1300 cm^{3}=1300 ml=13 dl\\h) 8.6 ml= 8.6 cm^{3}\times\: 10^{3}=8600 mm^{3}\\i) 51.8\times 10^{11} l \rightarrow 51.8\times 10^{-11}km^{3}[/tex]