anonymous
  • anonymous
Please help will fan. Order 0.709, 0.710, 0.79, and 0.079 from smallest to largest
Mathematics
jamiebookeater
  • jamiebookeater
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Astrophysics
  • Astrophysics
What do you think is the smallest number
anonymous
  • anonymous
0.79
MrNood
  • MrNood
try multiplying all numbers by 1000 - that is - move the decimal point 3 spaces to the right. Then sort out the whole numbers into order...

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anonymous
  • anonymous
Then it would go 0.079, 0.79, 0.709,0.710, because if I'm reading the number line correctly 0.079 is the same as -79, but the rest are positive.
Astrophysics
  • Astrophysics
Not quite, lets ignore the left side of the line the negative numbers don't have anything to do with this, so let me just make a new one I guess.
anonymous
  • anonymous
ok
Astrophysics
  • Astrophysics
|dw:1440159668625:dw| the line is obviously not to scale, and I'm using random numbers, notice how close you are to the 0, the more 0's there will be because essentially it will become 0.
Astrophysics
  • Astrophysics
I hope that made sense haha, let me know if you're getting it
Astrophysics
  • Astrophysics
So what's smaller here, 0.079 or 0.79
anonymous
  • anonymous
I think I just figured it out! 1st. 0.079=79, 2nd. 0.709=709, 3rd. 0.710=710, 4th. 0.79=790. I think the more 0's there are the smaller the number.
ganeshie8
  • ganeshie8
here is a fun problem for you Darion which number is smallest : \(0.80000\ldots\) or \(0.79999\ldots\)
anonymous
  • anonymous
0.79999; Anyway thank you all, so much for your help.
ganeshie8
  • ganeshie8
nope, forget it. coming back to the original problem, are you saying the increasing order of given numbers is \[\large 0.079,~~0.709,~~0.710,~~0.79\] ?
anonymous
  • anonymous
I'm saying that I think that is the correct order of the numbers from smallest to largest.
Astrophysics
  • Astrophysics
0.079<0.709<0.710<0.79 is this what you're saying
anonymous
  • anonymous
Yes
Astrophysics
  • Astrophysics
That's right :)
anonymous
  • anonymous
No he asked me which of those two numbers was the smaller, and I put 0.79999, but that seemed to be incorrect.
Astrophysics
  • Astrophysics
Yeah he's right
ganeshie8
  • ganeshie8
it turns out that they both are equal : \[0.79999\ldots ~~=~~ 0.80000\ldots\]
Astrophysics
  • Astrophysics
The ... implies repeating 0's and 9... means repeating 9's
anonymous
  • anonymous
Cool! well thanks again both of for your help!

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