Question

show the calculation you would use to convert the following:. a.) 0.25m to centimeters. b.) 9.8g to kilograms. c.) 35ms to seconds. d.) 4.2dL to liters

Answer 1

a) 1 m = 100 cm
    0.25 m = 25cm

b) 1 kg = 1000 g
    1 g = 0.001 kg
   9.8 g = 0.0098 kg

c) 1 ms = 0.001 s
    35 ms = 0.035 seconds

d) 1 dL = 0.1 L
    4.2 dL = 0.42 L

Answer 2

In all of these cases you can use proportions:

1.

1m - 100 cm,

0.25m - x cm.

Then, $\dfrac{1}{0.25}=\dfrac{100}{x},\\ \\x=100\cdot 0.25=25$ cm.

2.

1 kg - 1000 g,

x kg - 9.8g.

Then, $\dfrac{1}{x}=\dfrac{1000}{9.8},\\ \\x=\dfrac{9.8}{1000}=0.0098$ kg.

3.

1 sec -- 1000 ms,

x sec - 35 ms.

Then, $\dfrac{1}{x}=\dfrac{1000}{35},\\ \\x=\dfrac{35}{1000}=0.035$ sec.

4.

0.1 L - 1 dL,

x L - 4.2 dL.

Then, $\dfrac{0.1}{x}=\dfrac{1}{4.2},\\ \\x=0.1\cdot 4.2=0.42$ L.