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- Homework Statement
- Please see below

- Relevant Equations
- Please see below

Suppose I want to convert 100,000 metric Tonnes to kilograms, then I would perform, a unit cancellation:

Given that 1 t = 1000 kg

##100,000 t \times \frac{1000~kg}{1 t} = 1 \times 10^8 kg##, however, why are we allowed to multiply the 100,000 by that?

My reasoning is,

##1 t = 1000 kg##

##1 = \frac{1000 kg}{1 t}## therefore multiplying by ##100,000 t## by ##\frac{1000 kg}{1 t}## is the same as multiplying by 1

Does someone please know whether my reasoning is correct?

Many thanks!

Given that 1 t = 1000 kg

##100,000 t \times \frac{1000~kg}{1 t} = 1 \times 10^8 kg##, however, why are we allowed to multiply the 100,000 by that?

My reasoning is,

##1 t = 1000 kg##

##1 = \frac{1000 kg}{1 t}## therefore multiplying by ##100,000 t## by ##\frac{1000 kg}{1 t}## is the same as multiplying by 1

Does someone please know whether my reasoning is correct?

Many thanks!

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