Question

write 853,000 as scientific notation

Answer 1

8.53 x 10^5

Answer 2

8.53 × 10^5

Answer 3

Do you need help understanding why that's the answer?

Answer 4

yes

Answer 5

Each place value in a number is a power of ten; you know.., the 10's place 100's place, 1000's place, etc.

Answer 6

With me?

Answer 7

yes

Answer 8

And the same is true for decimal places... tenths place, hundredths place, thousands place etc.

Answer 9

So scientific notation is a short cut for writing really big numbers with lots of 0's aka lots of 10's places that we don't want to write out

Answer 10

ok that's why it has to whatever power?

Answer 11

so for a number like 123000... instead of writing all that out, we can simplify it to a small number.. traditionally a single digit... 1.23 and multiply it by 10 to the power of how many "10s places" it actually is

Answer 12

so what would 123000 be?

Answer 13

and yes, that's why it has whatever power