Can someone explain conversion factors to me?

Question

NOTE. THIS IS NOT HOMEWORK!

Please explain this to me & then solve these examples?

1) 1 m3 = 1 000 000 cm3

2) 1 in. = 2.54 cm

3) 1 µg = 0. 000 001 g

4) 1 Mm = 1 000 000 m

Answer 1

It is simple.

u have 2 different quantities of measurement like the meter and the cm

and u know that 1m = 100cm so the conversion factor here is 100

as anything u have in meter, u will multiply by 100 to get it in cm and the same in cm u will divide by 100 to get it in meter

About the examples:

1)1m =100cm

so if we get cube of both sides it will be

1m3 = 1000 000 cm3 so the conversion factor here became 1000 000

2)1inch = 2.54 cm , the conversion factor is 2.54   easy

3)1g = 1000 000 µg , conversion factor is 1000 000 (µ: this sign means micro, µ of any substance = 0.000001 of this substance)

4) 1 Mm = 1000 000 m

Because the M (in capital)means million

so conversion factor is 1000 000

Hope this helps!

Answer 2

Conversion factors are a way of relating units to other units.

Centi (c) is 10^-2, micro (µ) is 10^-6 and mega (M) is 10^6.

So if you have 1 Mm, that means you have 1 x 10^6 m. Note that you can write 10^6 as a million, 1 000 000.

You can do the same thing with other examples:

1) 1 m3 = 1 x (10^2)^3 cm3= 1 000 000 In this one, since you have m3 and cm3, you have to cube the conversion factor. Also, conversion factors go both ways, meaning while 1 cm is 1 x 10^-2 m, 1 m is 1 x 10^2 cm.

2) Going between in and cm, you have to look up the conversion factor. The conversion factor for this is 2.54, so 1 in = 2.54 cm.

3) 1 µg = 1 x 10^-6 g = 0.000 001 g