can someone please explain this?
2007-01-13 10:46:43 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
10^6 mm = 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000 mm
Therefore 1km = 1,000,000 mm
1 km = 1,000 m
1 m =100 cm
Therefore 1 km = 1,000 x 100 = 100,000 cm
1 cm = 10 mm
As 1 km = 100,000 cm,
1 km = 100,000 x 10 = 1,000,000 mm.
Therefore 1 km = 1,000,000 mm = 10^6 mm.
2007-01-13 10:51:49 · answer #1 · answered by Anonymous · 0⤊ 0⤋
That is how the metric (or SI) system works. Everything is base ten. The prefixes all represents exponents on ten. Here are a few examples:
yotta 24
zetta 21
exa 18
peta 15
tera 12
giga 9
mega 6
kilo 3
hecto 2
deca 1
[none] 0
deci -1
centi -2
milli -3
micro -6
nano -9
pico -12
femto -15
atto -18
zepto -21
yocto -24
So, kilo minus milli is 3-(-3)=3+3=6. So, 10^6 milli = 1 kilo. Of course, this works for mass (grams), length (meters), time (seconds), etc.
2007-01-13 19:01:13 · answer #2 · answered by Archknight 2 · 0⤊ 0⤋
10 mm = 10^1 mm = 1 cm
100 cm = 10^2 cm = 1 m
1000 m = 10^3 m = 1 km
10^(1+ 2 + 3) = 10^6
2007-01-13 18:50:08 · answer #3 · answered by Anonymous · 0⤊ 0⤋
1 km * 1000 m/km * 1000 mm/m = 10^6 mm
Done!
2007-01-13 18:53:25 · answer #4 · answered by Jerry P 6 · 0⤊ 0⤋
10mm = 1cm
100cm = 1m
1000m = 1km
10*100*1000=10^6
2007-01-13 18:50:29 · answer #5 · answered by eva 3 · 0⤊ 0⤋