Question

What's bigger?
4.72 or 4.6?
and why?

Answer 1

Larger in the basic sense?

\(\displaystyle 4.72=\frac{472}{100}\Rightarrow 4.6=\frac{460}{100}\)

What would you say is bigger based on this? Or even by the decimals? It should be equally obvious.

Answer 2

4.72 is larger?

Answer 3

Indeed.

Answer 4

Can you help me with one more?

Answer 5

Sure :)

Answer 6

is 0.5 larger or smaller than 0.5 (the second 0.5 has a bar over the 5 showing that it keeps going on)

Answer 7

\(0.5~vs.~0.\overline{5}\)

\(0.\overline{5}\) means \(0.555555555555.....\)

So, which one is larger?

Answer 8

Well that's what I don't really know. It seems like 0.55555555555 should be bigger?

Answer 9

it is

Answer 10

.5555555555555555555555555555555555555555555555555555555555555555555555555
is much bigger

Answer 11

It would be!

\(0.50~\text{versus}~0.55\)

To clarify a little.

Answer 12

oh ok. Thanks

Answer 13

actuall .50 vs .56 if you simplify