Question 1: In scientific measurements, values are often rounded to a specified number of decimal places to maintain consistency and clarity. The common rule for rounding to 1 decimal place is to look at the second decimal digit: if it is 5 or more, round up; if less, round down.

Answer:

Question 1: Round 3.4567 to 1 decimal place.

Answer: 3.5

Question 2: Round 7.8912 to 1 decimal place.

Answer: 7.9

Question 3: A measurement of 0.0567 meters is rounded to 0.057 meters. Is this correct? Explain why or why not.

Answer: Yes, because the second decimal digit is 6, which is 5 or more, so we round up.

Question 4: Calculate the rounded value of 12.3456 to 1 decimal place.

Answer: 12.3

Question 1: A scientist records a measurement of 0.789 meters but incorrectly rounds it to 0.8 meters. Identify the mistake and explain how to correctly round the measurement.

Answer: The mistake is rounding 0.789 to 0.8; correct rounding to 1 decimal place is 0.8 because the second decimal digit is 9, so round up from 0.789 to 0.8.

Question 2: A measurement of 15.6789 meters is taken. The measurement was initially recorded as 15.68 meters. Is this correct? Justify your answer.

Answer: Yes, because 15.6789 rounded to 1 decimal place is 15.7; 15.68 has two decimal places and is rounded incorrectly for 1 decimal place.

Question 3: If a measurement is rounded incorrectly, how might this affect scientific data analysis? Provide an example.

Answer: Incorrect rounding can lead to inaccuracies in data analysis, such as miscalculating averages or errors in experimental conclusions. For example, rounding 0.0567 incorrectly to 0.057 might slightly alter the calculated average in measurements.

Question 1: A laboratory thermometer reads 23.4567°C. The scientist reports the temperature as 23.5°C. Is this appropriate? Explain.

Answer: Yes, because rounding to 1 decimal place, 23.4567°C becomes 23.5°C, which maintains measurement accuracy suitable for most scientific purposes.

Question 2: A sample's mass is measured as 0.05678 grams. The lab report states 0.057 grams. Is this correct? Why or why not?

Answer: Yes, because rounding 0.05678 to 1 decimal place gives 0.057, following the rule that the second decimal digit is 7, so we round up.

Question 1: A measurement recorded as 0.04567 meters is to be rounded to 1 decimal place. Show your working and explain your choice.

Answer: 0.04567 rounds to 0.0 meters because the second decimal digit is 4, which is less than 5, so we round down to 0.0.

Question 2: In an experiment, a value was initially measured as 123.456 meters. The researcher mistakenly reports it as 123.5 meters. Identify the error and suggest the correct rounding.

Answer: The error is rounding from 123.456 to 123.5; correct rounding to 1 decimal place should be 123.5, so the initial report was actually correct, but if they reported 123.45, it would be incorrect.

Question 1: A student measures 5.678 meters but reports it as 5.7 meters. Is this correct? Why or why not?

Answer: Yes, because 5.678 rounded to 1 decimal place is 5.7; the student applied proper rounding.

Question 2: Identify the mistake: A measurement of 0.1234 is rounded to 0.12. Is this correct? Explain.

Answer: No, because 0.1234 rounded to 1 decimal place should be 0.1; to 2 decimal places, it is 0.12, but for 1 decimal place, the correct value is 0.1.

Question 3: Calculate and round 9.9999 to 1 decimal place.

Answer: 10.0