The square root of 83 to the nearest tenth is approximately 9.1. The square root of 83 to the nearest hundredth is approximately 9.11.
On the number line above, √83 should be plotted slightly to the right of 9.1
How to represent value on number line
The given number line starts from point 8.5 and ends at point 9.5, with an increase of 0.1 from one point to the other. This means that each point on the number line represents an increase of 0.1.
To plot the square root of 83 (√83) on this number line, find its approximate value to the nearest tenth and nearest hundredth.
The square root of 83 to the nearest tenth is approximately 9.1. This means that √83 falls between the values of 9.0 and 9.1 on the number line.
The square root of 83 to the nearest hundredth is approximately 9.11. This means that √83 falls between the values of 9.10 and 9.11 on the number line.
Since the number line has an interval of 0.1 between each point, we can conclude that √83 should be plotted slightly to the right of 9.1, closer to 9.11.
Therefore, on the number line above, √83 should be plotted slightly to the right of 9.1, closer to 9.11.