Question

#1 Which of the following is the correct scientific notation for 782,000 g?

A. 7.82 x 10^5 g

B. 7.82 x 10^–5 g

C. 7.82 x 10^6 g

D. 7.82 x 10^–6 g
***my answer: B.
idk is that correct??? :)

Answer 1

#2: An object under a microscope has a diameter of 125 micrometers. What is its diameter in millimeters? A micrometer is one one-millionth, or 1.0 x 10^–6, of a meter.

A. 1.25 x 10^–1 mm

B. 1.25 x 10^–3 mm

C. 1.25 x 10^–6 mm

D. 1.25 x 10^–4 mm
**idk this one tho :(

Answer 2

for number 1, really inspect the answer..

is 10^5 = 10^-5 ?

Answer 3

oh oops, the answer to #1 is A. 10^5 right???

Answer 4

for #2, 1 mm = 1.0 x 10^-3 m
1 micrometer = 1.0 x 10^-6 m

Answer 5

yep #1 is A.. what do yo think would happen if you have a negative exponent instead?

Answer 6

for #1 u mean?

Answer 7

if it's for #1, if its a negative exponent, it would be making the number larger, not smaller right??

Answer 8

@aaronq does that seem to answer the question?? so for #2 my answer is C???

Answer 9

10^-6???

Answer 10

you were right about #1 it's A

for #2 you're converting micrometers to millimeters, they're conversion factor is 1000 just as if you were converting from millimeters to meters

Answer 11

im confused still ;(

Answer 12

can u pls explain a little more?? :D

Answer 13

haha sure maybe this will help:

1 mm = 0.001 m
1 micrometer = 0.001 mm
1 micrometer = 0.000001 m

1.0 x 10^-6 m = 1 micrometer
1.0 x ^10^-3 m = 1 mm

do you see the relationships?

Answer 14

you're moving the decimal place 3 times from m to mm and mm to micrometers

Answer 15

yeah i think so, so based off of that, my answer for #2 is this???
B. 1.25 x 10^–3 mm

???? :D

Answer 16

what do you think?? is B the answer for #2??? :D @aaronq ?? :D

Answer 17

haha nooo, it's actually D

Answer 18

so for #2, my answer is this??
D. 1.25 x 10^–4 mm

Answer 19

125 micrometers divided by 1000 (to get it in mm)

0.125 mm if you move the decimal point to the left you're gonna have to subtract

Answer 20

no wait it;s A!

Answer 21

omg sorry

Answer 22

wait what?? please explain?? iheartfood confused :/

Answer 23

you have 125 divided by 1000 you get 0.125 mm right?

Answer 24

now every time you move the decimal point to the right you are going more negative in your exponent

eg 2.0 = 20.0 x^10^-1 = 200.0 x 10^-2 = 2000.0 x 10^-3

Answer 25

mhmm :) sooo...??? :O

Answer 26

what does that mean then??

Answer 27

so if you have 0.125 mm and you wanna write it like this 1.25 you just went right with the decimal point once so you have to write it 1.25x10^-1

Answer 28

if you wanted to write it 12.5 .. you would have to write it like this 12.5 x10^-2

Answer 29

ohhh so my answer is A. 1.25 x 10^–1 mm
100% sure it is A???? :D

Answer 30

yes, i'm 100% sure, i even checked with my calculator haha

Answer 31

but do you understand why?

Answer 32

yes i do haha based off of what u wrote lol i think i get it :) thanks!! :D