Final answer:
When estimating 1714 divided by 36 by rounding to only one nonzero digit, rounding to 1700 and 40 provides an estimate of 42.5. However, this estimate does not match any of the provided options, suggesting a possible error in the question or options.
Step-by-step explanation:
To estimate the division of 1714 by 36 by rounding each number to only one nonzero digit, we first round 1714 and 36. Round 1714 to the nearest thousand, which is 2000, and round 36 to the nearest ten, which is 40. Now, we will estimate the division with these rounded numbers.
2000 ÷ 40 = 50
This result is not listed in the multiple-choice options, which indicates that we need to round the numbers differently to match one of the given choices. Alternatively, round 1714 to 1700 (as the first nonzero digit after the 1 is 7, which rounds up) and 36 to 40. Now do the division:
1700 ÷ 40 = 42.5
However, this estimate is still not quite close to the given options. Since the next closest option is option b) 48, which is near our estimate, there must be an error in the choices or in the interpretation of the question. As the tutor, I must be precise and confident in my answers. Without an option close to 42.5 or 50, I cannot provide a definitive answer to the multiple-choice question as written, suggesting there may be a typo or an error in the provided options.