Question
Where is 8/7 represented on the number line shown
Answers
GPT-4o mini
To represent \( \frac{8}{7} \) on a number line, we first convert it to a mixed number.
Since \( \frac{8}{7} \) is greater than 1, we can divide 8 by 7:
- \( 8 \div 7 = 1 \) with a remainder of 1.
This means:
\[
\frac{8}{7} = 1 \frac{1}{7}
\]
Now, \( 1 \frac{1}{7} \) indicates that we start at 1 on the number line and move \( \frac{1}{7} \) of the way to the next whole number (which is 2).
To locate \( \frac{8}{7} \) on a number line, you would:
1. Draw a number line marking whole numbers (0, 1, 2, etc.).
2. Identify the point for 1.
3. Divide the segment between 1 and 2 into 7 equal parts (since the denominator is 7).
4. Count one part beyond 1; that point represents \( \frac{8}{7} \).
So, on the number line, \( \frac{8}{7} \) is located slightly more than 1, specifically one-seventh of the way towards 2.
Since \( \frac{8}{7} \) is greater than 1, we can divide 8 by 7:
- \( 8 \div 7 = 1 \) with a remainder of 1.
This means:
\[
\frac{8}{7} = 1 \frac{1}{7}
\]
Now, \( 1 \frac{1}{7} \) indicates that we start at 1 on the number line and move \( \frac{1}{7} \) of the way to the next whole number (which is 2).
To locate \( \frac{8}{7} \) on a number line, you would:
1. Draw a number line marking whole numbers (0, 1, 2, etc.).
2. Identify the point for 1.
3. Divide the segment between 1 and 2 into 7 equal parts (since the denominator is 7).
4. Count one part beyond 1; that point represents \( \frac{8}{7} \).
So, on the number line, \( \frac{8}{7} \) is located slightly more than 1, specifically one-seventh of the way towards 2.