Help with metric conversion

[Le GoogelGuRu]

Convert square units
6 x 10 (18 exponent) mm (squared) is _______ km (squared)

Need help to convert this

5 x 10 (14 exponent) mm is ______________ km

 

[jwpaine]

1 millimeter = 0.001 meters (1/1000)
there are 1000 meters in 1km so divide by 1000 again: 0.001/1000 = 0.000001

1 mm = (1/1000000)km

so

\(\displaystyle \large \frac{1}{1/1000000} = \frac{5 \qquad \cdot \qquad 10^{\tiny 14}}{X}\)

Solve the proportion for x by cross-multiplying.

 

[Le GoogelGuRu]

That was confusing. I have no clue what you said...

 

[jwpaine]

1 millimeter is to (1/1000000) km as \(\displaystyle (5 \times 10^{\tiny 14})\) millimeters is to ??? km

Multiply (1/1000000) by \(\displaystyle (5 \times 10^{\tiny 14})\)

( Divide \(\displaystyle (5 \times 10^{\tiny 14})\) by 1000000 )