The correct answer for the product (6.45 × 10⁵)× (1.2 × 10⁴)is: (considering significant figures)

Question

Quizplus · Accepted Answer

When multiplying numbers in scientific notation, you multiply the coefficients and add the exponents. Here, $6.45 \times 1.2 = 7.74$, but since we're considering significant figures (the least number of significant figures in any of the numbers being multiplied is 2), the product should be rounded to 2 significant figures, resulting in $7.7$. The exponents add up: $10^{15} \times 10^{14} = 10^{29}$. Therefore, the correct answer is $7.7 \times 10^{29}$.

The Correct Answer for the Product (6