Plot spuare root(44) on the decimal number line as accurately as possible.
To plot the square root of 44 on the decimal number line accurately, we need to find its approximate value. Taking the square root of 44 yields a value of approximately 6.633. Now, we can represent this value on a number line.
Starting at 0, we plot points as follows:
- Between 6 and 7, mark a point closer to 6, since the square root is less than 7.
- Divide the space between 6 and this point into 10 equal parts.
- The square root of 44 falls somewhere between the fifth and sixth part.
Therefore, we can plot the square root of 44 between 6.5 and 6.7 on the decimal number line.