Question 1: Express 3,600,000 in scientific notation.

Answer: 3.6 × 10^6

Question 2: Convert 0.0000457 to scientific notation.

Answer: 4.57 × 10^-5

Question 3: Calculate the product of (5.2 × 10^4) and (3 × 10^3).

Answer: 1.56 × 10^8

Question 4: Divide 8.4 × 10^7 by 2 × 10^3. Write your answer in scientific notation.

Answer: 4.2 × 10^4

Question 5: Construct a number in scientific notation that is ten times larger than 7.3 × 10^5.

Answer: 7.3 × 10^6

Question 6: A scientist measures a sample to be 2.5 × 10^9 units long. How many units is this in standard form?

Answer: 2,500,000,000

Question 7: The distance between two cities is 4.2 × 10^4 meters. Express this distance in kilometers.

Answer: 42 km

Question 8: A piece of equipment costs $3.2 × 10^5. If the price increases by 25%, what is the new cost?

Answer: 4.0 × 10^5

Question 9: A large bank has 1.2 × 10^8 dollars in assets. Express this amount in words.

Answer: 120,000,000 dollars

Question 10: Identify and correct the mistake: Write 6.4 × 10^3 as 64 × 10^2.

Answer: Incorrect; 6.4 × 10^3 = 6400, which is 6.4 × 10^3, not 64 × 10^2.

Question 11: Express the number 9,870,000 in scientific notation, then estimate it in words.

Answer: 9.87 × 10^6; approximately nine million.

Question 12: Challenge: If you double the number 3.5 × 10^4, what is the result in scientific notation?

Answer: 7.0 × 10^4