Final answer:
The question pertains to dividing 2.77 by 9 and rounding to the nearest ten thousandths, then to the thousandths place. The appropriate rounding depends on the precision of the original numbers, using rules for rounding off numbers where digits greater than 5 after the chosen decimal place result in rounding up.
Step-by-step explanation:
The student is asking how to get the quotient of 2.77 divided by 9 up to the nearest ten thousandths place, and then round that decimal to the thousandths place. When you perform the division using a calculator, you get a calculator answer that may display many decimal places. For example, if you divide 1.9436 by some powers of 10, this is what you get:
- 1.9436 ÷ 10 = 0.19436
- 1.9436 ÷ 100 = 0.019436
- 1.9436 ÷ 1000 = 0.0019436
To correctly report the final answer with significant figures based on the precision of the original numbers, you must round the result.
If you’re converting a number like 0.0479 into a number from 1 to 10, you move the decimal two places to the right. In another example, if you have an answer like 201.867 but need to report to the hundredths place, you round to 201.87 because the digit after the hundredths place (7) is greater than 5.
Rounding off numbers involves looking at the digit to the right of your desired decimal place. If it is greater than 5, you round up; if it is 5 or less, you round down.
In the case of 2.77 divided by 9, if you proceed with the division and get a result with several decimal places, you will then round it according to the precision dictated by the number with the least number of decimal places, which is 2.77 (two decimal places).