Question

What is the product written in scientific notation?
(4.5 * 10^-8) ( 6*10^-4)
A.2.7 * 10^32


B. 2.7 * 10^-13



C. 2.7 * 10^-12


D. 2.7 * 10^-11

Answer 1

fist multiply the first parts of the numbers
4.5 * 6 = ?

Answer 2

what does that come to?

Answer 3

27

Answer 4

right

Answer 5

now multiply 10/6-8 * 10^-4

add the exponents -8 and -4

Answer 6

*
10^-8 * 10*-4

Answer 7

-12

Answer 8

ok that gives us
27 * 10^-12

but this is not scientific notation
the first part must have a value between 1 and 10

Answer 9

so we divide the first part by 10 and , in order to maintain the correct value, multiply the exponent part by 10

Answer 10

Add a decimal?

Answer 11

To get 2.7

Answer 12

2.7 / 10 = ?

10^-12 * 10^1 = ?

Answer 13

yes 2.7 is correct for first part

Answer 14

2.7 / 10 = 0.27

Answer 15

10^-12 * 10^1
we ADD the exponents
10^-12 * 10^1
= 10^(-12+1) = ?

Answer 16

-11

Answer 17

No 27 / 10 = 2.7 is correct for first part

(2.7 is between 1 and 10)

Answer 18

-11 is right

so what is the correct option?

Answer 19

D

Answer 20

yep

Answer 21

Thank you! ^-^/

Answer 22

yw

Answer 23

general form for scientific notation is

N * 10^n where N is a number between 1 and 10 ( not including 10)