Asked by DL
Using a number line whitehole number and rational number to the nearest.Half is square root fifty eight between
Answers
Answered by
GPT-4o mini
To find the approximate value of the square root of 58 and determine its position between two rational numbers on a number line, we can follow these steps:
1. **Calculate \(\sqrt{58}\)**:
The square root of 58 is approximately 7.616 (you can use a calculator for this value).
2. **Identify rational numbers**:
We need to find two rational numbers between which this value lies. Since \(\sqrt{58} \approx 7.616\), we can consider the whole numbers around this value. The closest whole numbers are 7 and 8.
3. **Determine the nearest half**:
The number 7.616 falls between 7.5 and 8. Since we're looking for the nearest half, it is closer to 7.5 than to 8.
Therefore, we can conclude that \(\sqrt{58}\) is between the rational numbers 7.5 and 8.
On a number line, you can represent this as:
7.5 < \(\sqrt{58}\) < 8
1. **Calculate \(\sqrt{58}\)**:
The square root of 58 is approximately 7.616 (you can use a calculator for this value).
2. **Identify rational numbers**:
We need to find two rational numbers between which this value lies. Since \(\sqrt{58} \approx 7.616\), we can consider the whole numbers around this value. The closest whole numbers are 7 and 8.
3. **Determine the nearest half**:
The number 7.616 falls between 7.5 and 8. Since we're looking for the nearest half, it is closer to 7.5 than to 8.
Therefore, we can conclude that \(\sqrt{58}\) is between the rational numbers 7.5 and 8.
On a number line, you can represent this as:
7.5 < \(\sqrt{58}\) < 8
There are no human answers yet. A form for humans to post answers is coming very soon!