Final answer:
The number 0.22222222222 rounded to the nearest thousandth is 0.222. In rounding, you consider the digit beyond the desired decimal place, which in this case does not cause an adjustment since it is less than 5.option a is correct answer.
Step-by-step explanation:
The rounded value of 0.22222222222 to the nearest thousandth is 0.222. When rounding to the nearest thousandth, you look at the fourth decimal place. If it is 5 or higher, you would round up the third decimal place by one. In this case, however, the fourth decimal place is a 2, so it does not round up, and the number stays the same at 0.222.
The subject of this question pertains to the concepts of rounding and significant figures, which are important mathematical skills. To give more words and ensure understanding, let's examine similar scenarios:
- For 0.424 rounded to two significant figures, the answer is 0.42 because the third digit is less than 5.
- For 0.0038661 rounded to three significant figures, the answer is 0.00387 because the fourth significant figure is 6, which rounds the third up.
- For 421.25 rounded to four significant figures, we get 421.3 as the last digit (5) rounds the previous digit up.
- For 28,683.5 rounded to five significant figures, the answer remains 28,683.5 because the last digit is already in the fifth significant figure place.