22. What is sqrt(200) rounded to the nearest ten?
Answer: A
sqrt(200) rounded to the nearest ten is 10.
The square root of 200 is approximately 14.14, which when rounded to the nearest ten results in 10.
A) 10
This option is correct because rounding 14.14 to the nearest ten yields 10. The process of rounding involves checking the digit in the units place, which is 4 in this case. Since 4 is less than 5, we round down to 10.
B) 20
Option B is incorrect because rounding 14.14 to the nearest ten does not yield 20. The value 14.14 is closer to 10 than it is to 20, making this choice unviable.
C) 40
This option is also incorrect. Rounding 14.14 to the nearest ten does not bring us anywhere close to 40. In fact, 40 is significantly higher than the actual square root of 200.
D) 100
Option D is incorrect as well. Rounding 14.14 to the nearest ten cannot result in 100, as this value is far too high compared to the actual square root.
Conclusion
The correct answer is 10 because it accurately reflects the result of rounding the square root of 200 to the nearest ten. All other options are incorrect, as they do not align with the rounding process or the approximate value of the square root of 200.