Using a number line, what is the approximate value of √19?

Answer 1

To approximate the value of √19 using a number line, we can estimate the position on the number line that is closest to the square root of 19. Let's start by plotting the whole number values on the number line:

```
-3 -2 -1 0 1 2 3
```

Next, let's find the whole number values between which the square root of 19 falls. We know that the square root of 16 is equal to 4, and the square root of 25 is equal to 5. Therefore, the square root of 19 falls between 4 and 5.

To get a more accurate estimate, we can divide the segment between the whole numbers 4 and 5 into smaller equal parts. Let's divide it into 10 equal parts.

```
4.0 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5.0
```

From this, we can see that the value of √19 is approximately 4.4 when using a number line.