MEDAL for Scientific Notation Operations help!!!

5.4 x 10^2 x 7.5 x 10^{-7}

Question

MEDAL for Scientific Notation Operations help!!!

5.4 x 10^2 x 7.5 x 10^{-7}

calculusxy · Answer

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

imqwerty · Answer

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

imqwerty · Answer

jst an example^

calculusxy · Answer

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

welshfella · Answer

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

welshfella · Answer

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

welshfella · Answer

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

calculusxy · Answer

okay. so that would be 4.05

welshfella · Answer

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

calculusxy · Answer

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

calculusxy · Answer

would it be something like that?

welshfella · Answer

you have to multiply the exponent part by 10

welshfella · Answer

you are not correct in the last post

calculusxy · Answer

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

welshfella · Answer

its 4.05 * 10^1 * 10^-5

welshfella · Answer

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

calculusxy · Answer

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

calculusxy · Answer

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

welshfella · Answer

No  its 4.05 * 10^-4

calculusxy · Answer

oh yeah sorry typo

welshfella · Answer

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