## calculusxy one year ago MEDAL for Scientific Notation Operations help!!! 5.4 x 10^2 x 7.5 x 10^{-7}

1. calculusxy

$\huge 5.4 \times 10^2 \times 7.5 \times 10^{-7}$

2. imqwerty

scientific notation of 23.212 x10^3 is 2.3212 x 10^4

3. imqwerty

jst an example^

4. calculusxy

$\large (5.4 \times 7.5)(10^2 \times 10^{-7}) = 40.50 \times 10^{-5}$ I don't know how to go from there.

5. welshfella

first find 5.4 * 7.5 then 10^2 * 10^-7

6. welshfella

right now that's not scientific notation because 40.5 is not between 1 and 10

7. welshfella

Hint: part of the next procedure is to divide 40.5 by 10

8. calculusxy

okay. so that would be 4.05

9. welshfella

- but os corse you have to retain the correct value of the number

10. calculusxy

$4.05 \times 10^{-1} \times 10^{-5}$

11. calculusxy

would it be something like that?

12. welshfella

you have to multiply the exponent part by 10

13. welshfella

you are not correct in the last post

14. calculusxy

okay. so can you explain to me how i should do it?

15. welshfella

its 4.05 * 10^1 * 10^-5

16. welshfella

since we divided 40.5 by 10 we need to do the inverse, multiply, exponent part by 10 to reatain the correct value

17. calculusxy

oh is it because i have to multiply 10^1 to get to 40.50 and then go about from there?

18. calculusxy

oh ok. so the answer would be $\large 4.5^{-4}$

19. welshfella

No its 4.05 * 10^-4

20. calculusxy

oh yeah sorry typo

21. welshfella

|dw:1443291233159:dw|