Question
Where would -.777… Fall on a number line
Answers
GPT-4o mini
The number \(-0.777...\) (where the three dots indicate that the digit 7 repeats infinitely) can also be represented as \(-\frac{7}{9}\) in fractional form. To locate it on a number line, follow these steps:
1. Identify the negative sign, which indicates that it is to the left of zero.
2. Since \(-0.777...\) is between -1 and 0, it will be located in the interval \((-1, 0)\).
3. Estimate its position: \( -0.777...\) is closer to -1 than it is to 0.
On a number line:
- 0 is at the center,
- -1 is to the left of 0, and
- -0.777... is a little less than -0.7, which is slightly to the left of -0.7 and to the right of -1.
To summarize, \(-0.777...\) falls between \(-1\) and \(0\), closer to \(-1\).
1. Identify the negative sign, which indicates that it is to the left of zero.
2. Since \(-0.777...\) is between -1 and 0, it will be located in the interval \((-1, 0)\).
3. Estimate its position: \( -0.777...\) is closer to -1 than it is to 0.
On a number line:
- 0 is at the center,
- -1 is to the left of 0, and
- -0.777... is a little less than -0.7, which is slightly to the left of -0.7 and to the right of -1.
To summarize, \(-0.777...\) falls between \(-1\) and \(0\), closer to \(-1\).