Between which two consecutive whole numbers does √38 lie? Fill out the sentence below to justify your answer and use your mouse to drag √38 to an approximately correct location on the number line.
To find between which two consecutive whole numbers √38 lies, we can calculate the square of the whole numbers until we find the one that is greater than 38.
Let's calculate the squares of the whole numbers:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
We see that the square of 6 (36) is the largest square that is less than 38, and the square of 7 (49) is the smallest square that is greater than 38.
Therefore, √38 lies between the whole numbers 6 and 7.
Now, let's place √38 approximately on the number line between 6 and 7.
(Drag √38 to the middle point between 6 and 7 on the number line.)