• We’re currently investigating an issue related to the forum theme and styling that is impacting page layout and visual formatting. The problem has been identified, and we are actively working on a resolution. There is no impact to user data or functionality, this is strictly a front-end display issue. We’ll post an update once the fix has been deployed. Thanks for your patience while we get this sorted.

Converting Metric Units

I can't beleive that no one teaches how to multiply by 1 anymore. If you can do that, you can convert any units without difficulty.

For your problem you need to know this:

[*]7.8*10^8 km^3 = 7.8*10^8 km^3 * 1 * 1 * 1 * 1

If you can do that, you can answer your problem without google, and without help from others. In fact, you can use this for all of your other problems.

How? Well that is easy. There are 100,000 cm in 1 km. Or in other words:

1 = (100,000 cm / 1 km).

Now use this in the bulleted equation above:

[*]7.8*10^8 km^3 = 7.8*10^8 km^3 * (100,000 cm / 1 km) * (100,000 cm / 1 km) * (100,000 cm / 1 km)

Notice how the kilometers all cancel out? You are left with:

[*]7.8*10^8 km^3 = 7.8*10^23 cm^3.

Now use minendo's version of 1:

1 = (1 mL / 1 cm^3).

[*]7.8*10^8 km^3 = 7.8*10^23 cm^3 * 1 = 7.8*10^23 cm^3 * (1 mL / 1 cm^3) = 7.8*10^23 mL.
 
Originally posted by: dullard
I can't beleive that no one teaches how to multiply by 1 anymore. If you can do that, you can convert any units without difficulty.

For your problem you need to know this:

[*]7.8*10^8 km^3 = 7.8*10^8 km^3 * 1 * 1 * 1 * 1

If you can do that, you can answer your problem without google, and without help from others. In fact, you can use this for all of your other problems.

How? Well that is easy. There are 100,000 cm in 1 km. Or in other words:

1 = (100,000 cm / 1 km).

Now use this in the bulleted equation above:

[*]7.8*10^8 km^3 = 7.8*10^8 km^3 * (100,000 cm / 1 km) * (100,000 cm / 1 km) * (100,000 cm / 1 km)

Notice how the kilometers all cancel out? You are left with:

[*]7.8*10^8 km^3 = 7.8*10^23 cm^3.

Now use minendo's version of 1:

1 = (1 mL / 1 cm^3).

[*]7.8*10^8 km^3 = 7.8*10^23 cm^3 * 1 = 7.8*10^23 cm^3 * (1 mL / 1 cm^3) = 7.8*10^23 mL.

Agreed, but anyone seeking help in doing unit conversions might be better off multiplying by 100 cm/m and 1000m/km. It'd probably take a little more thought for them to use your 100,000 cm/km.

But, just keep multiplying by 1. As long as the numerator is equal to the denominator, the value of the fraction is 1. Keep at it until your units cancel out and you're left with the correct units.
 
Originally posted by: DrPizza
Agreed, but anyone seeking help in doing unit conversions might be better off multiplying by 100 cm/m and 1000m/km. It'd probably take a little more thought for them to use your 100,000 cm/km.
I thought about it. But my post was long enough already. I didn't want to scare people away with too much math.

 
(7.8 * 10^8 km^3) * ((1000^3 m^3)/(1 km^3)) * ((100^3 cm^3)/(1 m^3)) * ((1 ml)/(1 cm^3))

That's how they teach you to do it in most chem classes.
 
Back
Top