Question

order from least to greatest: 4.35x10^20, 4.84x10^19, 4.9x10^19

Answer 1

Well, starting with the second and third one, which is greater between those two?

Answer 2

4.84x10^19

Answer 3

So, both of them are multiplied by 10^19, so if we wrote out an inequality:
\[4.84\times10^{19} > 4.9\times10^{19}\]
And divided each side by 10^10, we would have:
\[4.84>4.9\]
Would that be true?

Answer 4

So, you're saying that 4.84 is greater than 4.9, which is false.

Answer 5

Right, so that means 4.9x10^19 is larger than 4.84x10^19. How does 4.35x10^20 compare to either of those?

Answer 6

I would think 4.35x10^20 is smaller than the previous numbers but since it's to the power of 20 does it make it larger?

Answer 7

A number multiplied by 10^20 would be 10 times larger than the same number multiplied by 10^19 For example:

\[1\times10^{20} = 1\times10^{19} * 10 = 10\times10^{19}\]

Answer 8

Therefore, 4.35x10^20 would be greater than both numbers?

Answer 9

Yup

Answer 10

thank you :)