Question

divide. Give answer in scientific notation

Answer 1

is it because you move a decimal point over 1? if so how that that bring about the extra exponent

Answer 2

think of it this way

0.75 * 10^-3

scientific form is n.nn * 10 ^ N

so we multiply 0.75 by 10 to get the required fomr 7.5
obviously we require the value to be the same
so we do the inverse of multiply
(divide) the exponent bit by 10 to give 10^-4

Answer 3

so you dvide 0.75 by 10?

Answer 4

I was told that re move the decimal place over by 1 giving us 7.5 x 10 x 10^-3 and thna you combine like terms to give you 7.5 10^-4. but im not sure if that way is correct.

Answer 5

we*

Answer 6

no - MULTIPLY 0.75 by 10 to get 7.5 (move decimal point 1 place to right)
but you need to retain the value of the 'whole thing'

so you have to DIVIDE the second part by the same number (10)

0.75 * 10^-3 has the same value as 7.5 * 10^-4 but only 7.5 is correct scientific notation

Answer 7

7.5 x 10 x 10^-3 is not correct

it should be 7.5 * 10^-1 * 10^-3

Answer 8

there are a few ways to approach thes
- i just find my a bit easier to remember

Answer 9

oh i see, do you know why in problems like w3 x^6 /W 3 x^-4 , why the answer = X^10

Answer 10

is it always 10^-1? will it sometimes be 10^1?

Answer 11

yes when you divide terms with exponents in them you subtract the exponents

eg x^6 / x^-3 = x^(6-(-3)) = x^9

Answer 12

sorry - i gotta go now

Answer 13

thanks for your help