Put these numbers in order from least to greatest:

1)-0.6
2) 0.714285¯
3) -3.670¯
4)−2.64575131

1 answer

To order the numbers from least to greatest, let's first understand their values:

  1. \(-0.6\) is simply -0.6.
  2. \(0.714285\) (with a repeating decimal) is approximately 0.714285714285...
  3. \(-3.670\) (with a repeating decimal) is approximately -3.670670670670...
  4. \(-2.64575131\) is approximately -2.64575131.

Now, let's compare them:

  • The smallest number is \(-3.670...\), which is less than both \(-2.64575131\) and \(-0.6\).
  • Next is \(-2.64575131\).
  • Then, \(-0.6\) is greater than both of the negatives.
  • Finally, \(0.714285...\) is the largest.

Putting all of this together, the order from least to greatest is:

-3.670¯, -2.64575131, -0.6, 0.714285¯.