Answer:
a in table → b on number line
b in table → c on number line
c in table → a on number line
Explanation:
Here, we see the points are square roots. A square root of a number is a value, that when multiplied by itself, gives the number. For example, 4 × 4 = 16, so the square root of 16 is 4.
We can apply this logic easily by simplifying the square root, or multiplying integers with each other (aka "squaring" the integers) and seeing which result is closest to the value inside the square root.
Simplifying the square root won't help here, if we don't know basic values such as √3 or √2. So, we can just multiply an integer with itself and see if that value is closer to the value inside the square root.
For point a, we see the number inside the root is 27. We can start multiplying:
25 is the closest value to 27 here. So, we know the point is somewhere around 5, and since 27 is slightly larger than 25, the point is slightly larger than 5. So, point a in the table is most likely point b on the number line.
For point b, we see the number inside the root is 32. We can start multiplying:
36 is the closest value to 32 here. So, we know the point is somewhere around 6, and since 32 is smaller than 36, the point is lesser than 6. So, point b in the table is most likely point c on the number line.
For point c, we see the number inside the root is 16. We can start multiplying:
16 is right on the dot! That means that the square root of 16 is 4, which leaves us with point a on the number line.