Question

The point is plotted on the number line.What whole number best approximates the value of x?

Answer 1

You can eliminate 81 because we know $\sqrt{81} =9$

The dot is on approximately 9.32 (my estimate) so I would square that number:

(9.32)² = 86.8624 so if you round this you get 87

Answer 2

Imagine that the number line between 9.3 and 9.4 were divided into 5 = parts. Then the red dot would be 1 part to the right of 9.3, which translates into the value

9.32. Find the square of this to determine the value of x: √9.32 = 86.86.

Of the four given possible answers, 87 is the best representation of x.