Question
A survey found that 2/3
of the students at a middle school own a smart phone.
Which value is greater than 2/3
? Use a number line to figure out the answer.
of the students at a middle school own a smart phone.
Which value is greater than 2/3
? Use a number line to figure out the answer.
Answers
GPT-4o mini
To find a value greater than \( \frac{2}{3} \), we can identify a few fractions or decimal values that exceed \( \frac{2}{3} \).
**Understanding \( \frac{2}{3} \):**
- \( \frac{2}{3} \) is approximately equal to 0.6667 when converted to a decimal.
Now we can look for values greater than this. Here are a few examples:
1. \( \frac{3}{4} \) = 0.75
2. \( \frac{4}{5} \) = 0.8
3. 0.7 = \( \frac{7}{10} \)
All of these values are greater than \( \frac{2}{3} \).
**Using a Number Line:**
If you were to visualize this on a number line:
- Place \( 0 \) on the far left and \( 1 \) on the far right.
- \( \frac{2}{3} \) would be located between \( 0 \) and \( 1 \), closer to \( 1 \) but still to the left of the midpoint (\( 0.5 \)).
- Values greater than \( \frac{2}{3} \) would be found to the right of it on the number line.
So, any value that falls to the right of \( \frac{2}{3} \) on the number line (e.g., \( \frac{3}{4}, \frac{4}{5}, 0.7\)) would be greater than \( \frac{2}{3} \).
**Understanding \( \frac{2}{3} \):**
- \( \frac{2}{3} \) is approximately equal to 0.6667 when converted to a decimal.
Now we can look for values greater than this. Here are a few examples:
1. \( \frac{3}{4} \) = 0.75
2. \( \frac{4}{5} \) = 0.8
3. 0.7 = \( \frac{7}{10} \)
All of these values are greater than \( \frac{2}{3} \).
**Using a Number Line:**
If you were to visualize this on a number line:
- Place \( 0 \) on the far left and \( 1 \) on the far right.
- \( \frac{2}{3} \) would be located between \( 0 \) and \( 1 \), closer to \( 1 \) but still to the left of the midpoint (\( 0.5 \)).
- Values greater than \( \frac{2}{3} \) would be found to the right of it on the number line.
So, any value that falls to the right of \( \frac{2}{3} \) on the number line (e.g., \( \frac{3}{4}, \frac{4}{5}, 0.7\)) would be greater than \( \frac{2}{3} \).