Question

Multiplication (Use significant figure rule)

(5.430*10^4)(1.44*10^8)

So far I know it would be down to: 7.8192*10^12

But after that I am confused.

Answer 1

5.430*10^4 4SF
1.44*10^8 3SF
then your answer can not have more SF than the number with less SF

in this case 3SF
the last SF is the "1" and you round the nine
7.8192*10^12

7.82*10^12

Answer 2

Thank you! After staring at it for a little bit it made a bit more sense.

Answer 3

Could you possibly help me with one more just to make sure I have got the rules down?

Answer 4

yes

Answer 5

(3.02*10^-2)(4.40*10^5)

Answer 6

It would have to be at least 3 SF, right?

Answer 7

yes no more than 3SF

Answer 8

But before I do the SF i notice the number come out to 13.288, and I know this is not correct Scientific Notation. What do I do?

Answer 9

Do I round my number first? Which would be 13.3

Answer 10

1.3288 x 10^4
1.33 x 10^4 3SF

Answer 11

Wouldnt the exponent be 2?

Answer 12

why?

Answer 13

(3.02*10^-2)(4.40*10^5) = 13288

Answer 14

I thought it would have to be 2 because we had the 13.3 and had to move the decimal back one to make it proper scientific notation. Since we made it smaller doesnt the exponent become smaller too?

Answer 15

no

100 = 10^2
1000 = 10^3
10000 = 10^4

the answer of your calculation is 13288 (thirteen thousand, two hundred and eighty eight)

Answer 16

Ohhh that makes more sense.

Answer 17

I am so sorry, I just want to see if I got this one correct then.

(3.30*10^23)(6.45*10^-12)

It would have 3 SF

Then it should come out to be 2.13*10^12

Answer 18

@cuanchi ??

Answer 19

yes rebecca you are right with this result sure bc. 3,3 *6,45 = 21,28 and
10^23 *10^-12 = 10^11

so than 21,28*10^11 = 2,13 *10^12

Answer 20

hope helped

good luck