Question

Write -0.0000356 in scientific notation ... help

Answer 1

\(\large -3.56 \times 10^{-5}\)

Answer 2

you need a digit between 1 and 9 before the decimal, then to find the exponent... since you have a number less than 1, then the exponent is negative, and the "value" of the exponent is the number of zeros after the decimal + 1

Answer 3

thanks

Answer 4

i have another question

Answer 5

Write this number without exponents
\[5.867\times10^{-4}\]

Answer 6

Think of the reverse process... you have a negative exponent so you have a number less than 1, so something like 0. ____

Now, the exponent is 4, so that means you have 3 zeros after the decimal... so
0.0005867

Answer 7

thats how you convert it ?

Answer 8

thanks

Answer 9

yeah

Answer 10

:)

Answer 11

write the answer without exponents
\[(5x10^{3}) \times (6x10^{4})\]

Answer 12

first, manipulate it with the exponents:
\((5 \times 10^3) \times (6 \times 10^4)=5\times 6 \times 10^3 \times 10^4=30\times \color{red}{10^7}=30\color{red}{0,000,000}\), here you just add the number of zeros corresponding to the exponent you have in your base 10

Answer 13

(since the exponent is positive)

Answer 14

what would be the answer then ? i dont get it

Answer 15

300,000,000

Answer 16

yes, I wrote it up there too

Answer 17

thanks

Answer 18

Divide and write the result using scientific notation.
\[\frac{ 4\times10^{8} }{ 2\times10^{-5} }\]

Answer 19

how do you do this one ?

Answer 20

divide the 4 and the 2 together, and the base 10's together using the exponent laws

Answer 21

itll be 2 .. which exponent law do i use ?

Answer 22

\[ \large \frac{a^x}{a^y}=a^{x-y}\]

Answer 23

alright

Answer 24

whats the next step ?

Answer 25

?

Answer 26

you multiply it out.. here i'm saying \(a = 10\) and \(x = 8\) and \(y = -5\)

Answer 27

well you don't have to fully multiply it out because it will be already in scientific notation :)

Answer 28

\[\frac{ 10^{8} }{ 10^{-5} }=10^{8-5}\]

Answer 29

\(10^{8-(-5)}\)

Answer 30

= \(10^{13}\)

Answer 31

i have to solve for the parenth rite ?

Answer 32

or just leave it like that ?

Answer 33

well it just become \(2 \times 10^{13}\) :)