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1 a science museum has 73 exhibits. what is 73 rounded to the nearest h…

Question

1 a science museum has 73 exhibits. what is 73 rounded to the nearest hundred? is 73 closer to 0 or 100? 2 which two numbers, rounded to the nearest hundred, both round to 400? a 349 and 350 b 449 and 450 c 350 and 351 d 450 and 451 hans chose a as the correct answer. how could he get that answer? 3 decide if the following numbers will round to 300. circle yes or no. 286 rounded to the nearest hundred yes or no 342 rounded to the nearest hundred yes or no 297 rounded to the nearest ten yes or no think about the number halfway between 200 and 300 and the number halfway between 300 and 400.

Explanation:

Step1: Recall rounding - to - hundred rule

If the tens digit is 50 or more, round up; if less than 50, round down. For 73, the tens digit is 7. Since 73 < 100 and 73 is closer to 0 than 100, when rounding to the nearest hundred, 73 rounds to 0.

Step2: Analyze option for rounding to 400

For rounding to the nearest hundred, numbers from 350 (inclusive) to 449 (inclusive) round to 400. Option C (350 and 351) are the correct pair. Hans chose A (349 and 350). He might have thought that 349 rounds to 400 (it rounds to 300) and 350 rounds to 400 (correct), likely making a mistake in rounding 349.

Step3: Round numbers to nearest hundred

For 286, since 86 > 50, it rounds to 300 (Yes). For 342, since 42 < 50, it rounds to 300 (Yes). For 297 rounded to the nearest ten, it is 300, but the question asks for rounding to the nearest hundred for the first two cases and seems to have a mis - match in the third one. Ignoring the mis - match, if we consider it in the context of rounding to the nearest hundred, 297 rounds to 300 (Yes).

Answer:

  1. 0
  2. C. 350 and 351; Hans might have wrongly thought 349 rounds to 400 instead of 300 while 350 does round to 400.
  3. 286: Yes, 342: Yes, 297 (if considering nearest - hundred as per context): Yes