Question 1: Add the following numbers in standard form: (3.2 × 10^4) + (4.7 × 10^4).

Answer: 7.9 × 10^4

Question 2: Subtract: (6.5 × 10^5) – (2.3 × 10^5).

Answer: 4.2 × 10^5

Question 3: Calculate: (1.25 × 10^3) + (3.75 × 10^2).

Answer: 1.625 × 10^3

Question 4: A scientist records a measurement as 5.4 × 10^6 grams. Another measurement is 2.1 × 10^6 grams. Find their sum.

Answer: 7.5 × 10^6 grams

Question 5: Subtract: (9.8 × 10^7) – (4.5 × 10^7).

Answer: 5.3 × 10^7

Question 6: Combine: (2.4 × 10^5) + (3.6 × 10^5) – (1.2 × 10^5).

Answer: 4.8 × 10^5

Question 7: Plot the graph of y=2×10^x for x=1, 2, and 3 on the grid.

Answer: Students will draw the points (1, 2×10^1=20), (2, 2×10^2=200), (3, 2×10^3=2000).

Question 8: Construct a triangle on the grid with sides measuring approximately 3×10^2, 4×10^2, and 5×10^2.

Answer: Students draw a triangle with sides matching the given lengths in standard form.

Question 9: A car travels 2.5×10^3 km in the first month and 1.75×10^3 km in the second month. Find the total distance traveled.

Answer: 4.25 × 10^3 km

Question 10: Calculate: (8.3 × 10^4) – (3.7 × 10^4).

Answer: 4.6 × 10^4

Question 11: Identify and correct the mistake: (5.0 × 10^3) + (2.0 × 10^2) = 5.2 × 10^3.

Answer: The mistake is adding 10^3 and 10^2 directly; they should be converted to the same power before adding.

Question 12: Solve: (1.2 × 10^6) – (7.5 × 10^5).

Answer: 4.5 × 10^5