Question 1: Round 0.04567 to 2 significant figures.

Answer: 0.046

Question 2: Round 3.98765 to 2 significant figures.

Answer: 4.0

Question 3: Estimate the value of 1,234,567 rounded to 2 significant figures.

Answer: 1.2 × 10^6

Question 4: Calculate 5678 rounded to 2 significant figures.

Answer: 5700

Question 5: Round 0.00098765 to 2 significant figures.

Answer: 0.00099

Question 6: Estimate the number 9.8765 × 10^4 to 2 significant figures.

Answer: 98,000

Question 7: Construct a triangle with side lengths approximately 3.2 cm and 4.8 cm, rounding each to 2 sf.

Answer: Sides: 3.2 cm and 4.8 cm (exact construction on grid).

Question 8: Plot the graph of y = 2x for x from 0 to 5, with coordinates rounded to 2 significant figures.

Answer: Points: (0,0), (1,2), (2,4), (3,6), (4,8), (5,10).

Question 9: A car travels 12345 km in 8 months. Round the distance to 2 sf for an approximate report.

Answer: 1.2 × 10^4 km

Question 10: A scientist measures a sample as 0.00098765 g. Round this to 2 significant figures and explain why this is appropriate.

Answer: 0.00099 g; because it reflects the measurement's precision.

Question 11: Identify and correct the common mistake: Rounding 0.04567 to 2 sf as 0.046 (correct/incorrect).

Answer: correct

Question 12: Given the number 789.1234, round to 2 sf. Is the answer 790 or 78? Explain why.

Answer: 790; because 2 sf rounds the first two significant digits, here 7 and 8, to 79, which rounds to 790.