Question

Please help me!
what is the order from least to greatest?
Planet A; 5.97x10^24
Planet B; 3.30x10^23
Planet C; 1.89x10^27
Planet D; 4.87x10^24

Answer 1

would it help if you put them all in 10^24?

Answer 2

i dont think soo. i would do this myself but i dont have any calculator with me :(

Answer 3

Is 10^23 less than or greater than 10^24?

Answer 4

Planet A 5.97x10^24
B 0.330x10^24
C 1890.0 x10^24
D 4.87x10^24
What order should they be in now that they all have the same magnitude?

Answer 5

From least to greatest

Answer 6

so which is the smallest? B right? it is 0.330 x 10^24

Answer 7

im pretty sure thats the smallest

Answer 8

Right, so what is the next smallest?

Answer 9

planet D?

Answer 10

Cool and the next one?

Answer 11

Planet A then Planet C right?

Answer 12

Exactly B,D,A,C

The trick is to look at the magnitudes. 10^23 is 1/10th of 10^24 and 10^27 is 1000 times 10^24. Only the two 10^24 need to have their values compared to see which is smaller.

Answer 13

Remember each time you move the decimal to the right the exponent of 10 gets smaller and to the left it gets bigger

Answer 14

Okay! thank you so much(:

Answer 15

Want to help me with a few more?

Answer 16

I will if I can.

Answer 17

1.7x10^4, 1.4x10^-3, 1.2x10^-5, 1.9x10^-4
Order from least to greatest

Answer 18

Do you know what the negative sign means in the exponent?

Answer 19

5x10^-8, 7x10^-9, 3x10^-9, 8x10^4 order from least to greatest. and no i do not.

Answer 20

It means the inverse so 10^3 = 1000, 10^-3= 1/1000th

Answer 21

WHy do we have to inverse?

Answer 22

Math teachers are mean? ;) It comes in handy later on. They just want you to become comfortable with the scientific notation.

Answer 23

ooooh okay

Answer 24

So just looking at magnitudes we know that
1.2x10^-5<1.9x10^-4 <1.4x10^-3 < 1.7x10^4
If the value only has one number to the left of the decimal place then it is safe to assume that the exponents are what matters and -5<-4<-3<4

Answer 25

You lost me..

Answer 26

Do it for 5x10^-8, 7x10^-9, 3x10^-9, 8x10^4. Watch out though because 7x10^-9 and 3x10^-9 have the same magnitude so you have to look at the value.

Answer 27

Looking at the magnitudes you see the exponents -9, -8 and 4. If you arrange those in order of least to greatest you will be able to figure out the actual values.

Answer 28

So its pretty much the exponents that tell you where they all go?

Answer 29

Yes, except for numbers with the same exponents.

Answer 30

so its 8x10^4, 5x10^8, 3x10^-9, 7x10^9?

Answer 31

nooo i think i got it wrong cause its not on the multiple choice

Answer 32

i dont understand :(

Answer 33

3x10^-9 < 7x10^-9 < 5x10^-8 < 8x10^4. isn't one of the choices?

3x10-9 is .000000003 and 7x10^-9 is .000000007

rank them by their exponents and if any of them have the same exponent rank those by the actual values.