the following numbers are shown on a number line: 0.8, -1 1/2, -1/4 2, -1.99. which number is located farthest to the right?

1 answer

To determine which number is located farthest to the right on a number line, we can convert all the numbers to decimal form:

  1. \(0.8\) is already in decimal form.
  2. \(-1 \frac{1}{2}\) or \(-1.5\) in decimal form.
  3. \(-\frac{1}{4} = -0.25\) in decimal form.
  4. \(2\) is already in decimal form.
  5. \(-1.99\) is also already in decimal form.

Now, let's list these numbers in decimal form:

  • \(0.8\)
  • \(-1.5\)
  • \(-0.25\)
  • \(2\)
  • \(-1.99\)

Now we can compare them:

  • The least negative number is \(-0.25\), which is greater than all the negative numbers.
  • Next is \(0.8\).
  • And the largest number is \(2\).

Thus, the number located farthest to the right on the number line is \(2\).