Compute the product (6.2 × 10^4) × (3.1 × 10^2). Express the result in scientific notation.

Compute the product (6.2 × 10^4) × (3.1 × 10^2). Express the result in scientific notation.

• A. 1.922 × 10^6
• B. 19.22 × 10^6
• C. 1.922 × 10^8
• D. 1.922 × 10^7

Answer: (D)

Multiplying numbers in scientific notation means multiply the decimal parts and add the powers of ten. So for (6.2 × 10^4) × (3.1 × 10^2), multiply 6.2 by 3.1 to get 19.22, and add the exponents: 4 + 2 = 6. This gives 19.22 × 10^6. To write in proper scientific notation, move the decimal one place to the left to get 1.922 × 10^7.

Multiplying numbers in scientific notation means multiply the decimal parts and add the powers of ten. So for (6.2 × 10^4) × (3.1 × 10^2), multiply 6.2 by 3.1 to get 19.22, and add the exponents: 4 + 2 = 6. This gives 19.22 × 10^6. To write in proper scientific notation, move the decimal one place to the left to get 1.922 × 10^7.