Question 1: Round 3.14159 to 1 significant figure.

Answer: 3

Question 2: Round 0.04987 to 1 significant figure.

Answer: 0.05

Question 3: Round 98765 to 1 significant figure.

Answer: 100000

Question 4: Round 0.000356 to 1 significant figure.

Answer: 0.00036

Question 1: A car travels 12345 km over a year. Round this distance to 1 significant figure. How does this affect the accuracy of the data?

Answer: 1 x 10^4 km; it reduces the precision, providing only an approximate value.

Question 2: The mass of an object is 0.00789 kg. Round to 1 significant figure and explain why this might be important in a scientific context.

Answer: 0.008 kg; rounding simplifies measurements but may affect detailed analysis.

Question 1: A recipe calls for 2.5 liters of water. Round this volume to 1 significant figure. Is this practical? Why or why not?

Answer: 3 liters; practical for estimation, but may not be precise for exact recipes.

Question 2: A scientist estimates the distance from Earth to the Sun as 149600000 km. Round to 1 significant figure and discuss the implications for astronomical calculations.

Answer: 1 x 10^8 km; it simplifies large numbers but reduces accuracy in precise measurements.

Question 1: Given the number 5.4321, round to 1 significant figure. Then, multiply the rounded number by 3 and explain the potential error introduced.

Answer: 5 x 10^0; the product is approximately 15, but the initial rounding introduces an error that could be significant in sensitive calculations.

Question 2: If a measurement is recorded as 0.000456, round to 1 significant figure. How does this affect the representation of very small quantities?

Answer: 4 x 10^-4; it emphasizes the scale but can obscure precise details.

Question 1: Identify and correct the mistake: Rounding 0.04987 to 1 significant figure gives 0.05.

Answer: Incorrect; rounding 0.04987 to 1 sf gives 0.05 only if considering significant digits beyond the first. Correct answer: 0.05 is correct, but students should recognize that '0.05' is a 1 significant figure if the first non-zero digit is considered. Alternatively, clarify that 0.04987 rounds to 0.05; the mistake might be in misunderstanding significant digits in leading zeros.

Question 2: A student rounds 98765 to 1 significant figure as 100000. Is this correct? Why or why not?

Answer: Yes, because 100000 has 1 significant figure, matching the requirement for rounding to 1 sf.