Find it hard to do long division $\frac{10000}{0.08}$

Question

Sorry if this is very basic! But I can't seem to do something like

$\frac{10000}{0.08}$, without a calculator. How would one go about solving this without a calculator?

Answer 1

Just make some transformations:

$0.08=\frac8{100}$. Therefore the term becomes $\frac{10000}{\frac8{100}}$

Then:

Dividing a term by a fraction is the same as multiplying the term by the reciprocal of the fraction.

That means $10000\cdot \frac{100}8=\frac{10000}{8}\cdot 100=1250\cdot 100=125,000$.

Answer 2

You can write $$\frac{10000\cdot 100}{8}$$

Answer 3

You could turn 0.08 to a fraction, take recipricol, then multiply that by 10000 which is a lot easier imo. If you don't want to do the weird decimal movement thing.

Answer 4

We know that $0.08=\frac{8}{100}$, so $\frac{1}{0.08} = \frac{100}{8}$ we can do this as one divided by a fraction can be just flipped to remove the divided "bit".

So $$\frac{10000}{0.08}=\frac{100 * 10000}{8}$$

Then $8$ goes into $10000$, $1250$ times so $\frac{10000}{0.08}=1250*100= 125000$

Answer 5

$$\frac{10000}{\frac8{100}}=\frac{1000000}{8}=\frac{(50*2)(50*2)(50*2)}{2*2*2}=??$$