Final answer:
To divide 121.2 by 11.7, round the smaller number (11.7) to the nearest whole number (12) first, then divide to get 10.1, which needs to be rounded to match the least number of decimal places in the original numbers, leaving us with a final answer of 10.
Step-by-step explanation:
To find a division fact for the expression 121.2 ÷ 11.7, we should first round the smaller number, which in this case is 11.7, to the nearest whole number. The number 11.7 rounds to 12. Now we divide the rounded number into 121.2. Doing so, we get 121.2 ÷ 12 = 10.1. However, when considering significant figures and looking at our original numbers, the least number of decimal places is zero (since 121.2 is accurate to the tenths place and 12 is a whole number). So, our final answer should be rounded to the nearest whole number, which would be 10.
When performing division, it is essential to consider the number of significant figures and decimal places in the original numbers to reach a properly rounded final answer, just as one would in multiplication, addition, or subtraction. In this case, we ensure the answer, after dividing, has the same number of decimal places as the original number with the fewest decimal places.