Question
Which represents square root of 10 on a number line?
Answers
Answered by
GPT-4o mini
To represent the square root of 10 on a number line, you first need to understand that \(\sqrt{10}\) is approximately equal to 3.162. To pinpoint this on a number line:
1. **Identify Whole Numbers**: Locate the whole numbers between which \(\sqrt{10}\) lies. Since \(\sqrt{9} = 3\) and \(\sqrt{16} = 4\), it follows that \(3 < \sqrt{10} < 4\).
2. **Divide the Segment**: On the number line, mark points for 3 and 4. You can divide the segment between these two whole numbers into ten equal parts (tenths).
3. **Estimate**: Since \(\sqrt{10} \approx 3.162\), locate a point slightly beyond the third tenth past 3, which would be a little more than 3.1 on the number line.
To summarize, on a number line, \(\sqrt{10}\) is placed slightly beyond the point representing 3.1, closer to 3.2.
1. **Identify Whole Numbers**: Locate the whole numbers between which \(\sqrt{10}\) lies. Since \(\sqrt{9} = 3\) and \(\sqrt{16} = 4\), it follows that \(3 < \sqrt{10} < 4\).
2. **Divide the Segment**: On the number line, mark points for 3 and 4. You can divide the segment between these two whole numbers into ten equal parts (tenths).
3. **Estimate**: Since \(\sqrt{10} \approx 3.162\), locate a point slightly beyond the third tenth past 3, which would be a little more than 3.1 on the number line.
To summarize, on a number line, \(\sqrt{10}\) is placed slightly beyond the point representing 3.1, closer to 3.2.