Question

Find the product and express your answer in scientific notation.

(5 x 106)(8.2 x 10-9)

Answer 1

\[(5*10^6)(8.2*10^{-9})\]

Answer 2

think of it like this:
\[(5x^6)(8.2x^{-9})\]
what woul you do here?

Answer 3

if you don't get it I'll help you just have to let me know

Answer 4

all I have to do is multiply?

Answer 5

@dezmonique still need help?

Answer 6

yes I do @Photon336

Answer 7

so this is scientific notation right

Answer 8

yes

Answer 9

so when we multiply exponents we add them first

Answer 10

\[10^{6}*10^{-9} = 10^{6+-9}\]

Answer 11

so let's ignore the numbers 5 and 8.2 for now

Answer 12

@dezmonique whenever we have two bases and we have to multiply them. we add the exponents.

\(\color{blue}{\text{Originally Posted by}}\) @Photon336
\[10^{6}*10^{-9} = 10^{6+-9}\]
\(\color{blue}{\text{End of Quote}}\)

Answer 13

so it would be 10^-3 right?

Answer 14

yes

Answer 15

now let's multiply 5 and 8.2

Answer 16

okay its 41 right?

Answer 17

so now let's put them together

\[41*10^{-3} = ? \]

Answer 18

is it in a decimal form?

Answer 19

so we're almost done

Answer 20

we need to express our last number in prober scientific notation 41*10^{-3} isn't acceptable

so here is what we can do

\[41 = 4.1*10^{1}*10^{-3}\]

Answer 21

\[4.1*10^{-2}\]

Answer 22

is that how we would write it in scientific notation?\[4.1*10^-2\]

Answer 23

yep :)

Answer 24

okay thank you :) that helped i was so confused in how it was suppose to be done

Answer 25

try another problem

Answer 26

\[(2*10^{3})(3*10^{2})\]

Answer 27

@dezmonique

Answer 28

this is what i got so far, \[60^5\]

Answer 29

would it be 6*10^6? @Photon336

Answer 30

almost

Answer 31

2*3 = 6

and

2+3 = 5

6*10^5

Answer 32

i thought it was to the 5th power to, but then i put to the 6th power

Answer 33

okay try this one

\[(3*10^{2})(3*10^{6}) = ?\]

Answer 34

\[9*10^8\]

Answer 35

excellent

Answer 36

one more

Answer 37

okay

Answer 38

\[(4*10^{3})(3*10^{2})\]

Answer 39

\[12*10^5\]

Answer 40

yep

Answer 41

or

\[1.2*10^{6}\]

Answer 42

how do you get that answer?

Answer 43

so remember scientific notation is written the number must be less than 10

Answer 44

We can re-write \[12 = 1.2*10^{1}\]

Answer 45

oh okay i get it

Answer 46

so it becomes this \[(1.2*10^{1})(10^{5})\]

Answer 47

which is just

\[(1.2*10^{6})\]

Answer 48

oh, got it

Answer 49

last one

\[(4*10^{2})(3*10^{3})\]

Answer 50

anyway i g2g @dezmonique try that last one on your own

Answer 51

okay thank you for your help