Using a number line, what is the approximate value of /19?
A. 4.35
B. 4.5
C. 4.25
D. 4.13
To approximate the value of √19 using a number line, we can look for the two perfect squares that are closest to 19. The perfect squares that are nearest to 19 are 16 (4^2) and 25 (5^2).
Since 19 is closer to 16 than to 25, we know that the value of √19 is closer to 4 than to 5.
Thus, the approximate value of √19 is 4.
To answer this question using a number line, we start by dividing the number line interval between 4 and 5 into 100 equal parts. Each part represents a value of 0.01.
Next, we locate the point that represents /19 on the number line.
To do this, we divide 1 by 19, which gives us approximately 0.0526.
So, the point that represents /19 on the number line is located slightly more than halfway between 0.05 and 0.06.
Looking at the answer choices, we can see that the closest option to this value is 4.5, which is answer B. Therefore, the approximate value of /19 on the number line is 4.5.