Question
Where would -11 over three fall on a number line
Answers
GPT-4o mini
To place \(-\frac{11}{3}\) on a number line, we first convert it to a decimal or mixed number.
Calculating \(-\frac{11}{3}\):
1. Divide \(11\) by \(3\):
- \(11 \div 3 = 3\) (with a remainder of \(2\)).
- This means \(-\frac{11}{3} = -3\frac{2}{3}\).
2. As a decimal, we can also express it as:
- \(-\frac{11}{3} = -3.6666...\) (or approximately \(-3.67\)).
On a number line, locate \(-4\) and \(-3\). Since \(-\frac{11}{3}\) falls between these two numbers:
- It is slightly less than \(-3.67\) and will be positioned closer to \(-4\).
So, if you draw a number line, you would place \(-\frac{11}{3}\) a little more than two-thirds of the way from \(-4\) towards \(-3\).
Calculating \(-\frac{11}{3}\):
1. Divide \(11\) by \(3\):
- \(11 \div 3 = 3\) (with a remainder of \(2\)).
- This means \(-\frac{11}{3} = -3\frac{2}{3}\).
2. As a decimal, we can also express it as:
- \(-\frac{11}{3} = -3.6666...\) (or approximately \(-3.67\)).
On a number line, locate \(-4\) and \(-3\). Since \(-\frac{11}{3}\) falls between these two numbers:
- It is slightly less than \(-3.67\) and will be positioned closer to \(-4\).
So, if you draw a number line, you would place \(-\frac{11}{3}\) a little more than two-thirds of the way from \(-4\) towards \(-3\).