Question

William estimated LaTeX: \sqrt{140}140 by placing the point on the number line below. 1.2.1 Which is true about his estimate? A. His estimate is correct; it should be halfway between 11 and 12. B. His estimate is incorrect; it should be closer to 11 than 12. C. His estimate is incorrect; it should be closer to 12 than 11. D. His estimate is incorrect; it should be slightly above 12.

Answer 1

C. His estimate is incorrect; it should be closer to 12 than 11

Explanation:

Given the equation
`√(140)`, we are to locate the position on the number line as shown:

Before locating the position on the number line, we need to find the square root of 140 first as shown:

`√(140) = 11.83`

We can see from the value gotten that the value 11.83 is between 11 and 12 on the number. Since the value can be approximated to 12, this means the number is closer to 12 than 11.

Based on the solution given, we can conclude that William's estimate is incorrect as the value should be closer to 12 than 11