Examine the number line. The space between each point is approximately ¾ unit. If R = 8 and S = 8.5, then determine the best whole number square root that M represents.

Question

(1 point)

Answer 1

Since the space between each point is approximately ¾ unit, we can divide R and S by ¾ to find how many units they are away from the starting point.

For R:
8 ÷ ¾ = 10.66

For S:
8.5 ÷ ¾ = 11.33

So R is approximately 10.66 units away from the starting point and S is approximately 11.33 units away from the starting point.

Now, we need to find the value of M, which is the midpoint between R and S. To find the midpoint, we can add R and S and divide the sum by 2.

10.66 + 11.33 = 21.99

21.99 ÷ 2 = 10.995

So M is approximately 10.995 units away from the starting point.

To find the whole number that M represents, we can round 10.995 to the nearest whole number.

10.995 rounded to the nearest whole number is 11.

Therefore, the best whole number square root that M represents is 11.