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

In all of these cases you can use proportions:

1.

1m - 100 cm,

0.25m - x cm.

Then,
`(1)/(0.25)=(100)/(x),\\ \\x=100\cdot 0.25=25` cm.

2.

1 kg - 1000 g,

x kg - 9.8g.

Then,
`(1)/(x)=(1000)/(9.8),\\ \\x=(9.8)/(1000)=0.0098` kg.

3.

1 sec -- 1000 ms,

x sec - 35 ms.

Then,
`(1)/(x)=(1000)/(35),\\ \\x=(35)/(1000)=0.035` sec.

4.

0.1 L - 1 dL,

x L - 4.2 dL.

Then,
`(0.1)/(x)=(1)/(4.2),\\ \\x=0.1\cdot 4.2=0.42` L.

Answer 2

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