in a number line where would 3√1100 be
To find the position of 3√1100 on a number line, we need to simplify the expression first.
3√1100 can be simplified as follows:
3√(11 * 100) = 3√11 * √100 = 3 * √11 * 10 = 30√11
Based on this, 3√1100 is equal to 30√11.
Now, to determine its position on a number line, we need to approximate the value of √11. Since 11 is not a perfect square, we can estimate its value.
The square root of 9 is 3, and the square root of 16 is 4. So, the square root of a number between 9 and 16 will be slightly larger than 3 but smaller than 4.
Therefore, we can approximate the value of √11 to be around 3.3.
So, 30√11 would be approximately 30 * 3.3 = 99.
Therefore, 3√1100 would be approximately 99 on a number line.