975.0321 divided by 0.0003 in Scientific Notation

How can we solve the division of 975.0321 by 0.0003 and represent the result in scientific notation?

Considering significant digits, what is the final result?

Solution:

Let's break it down step by step:

First, perform the division to get x = 975.0321 / 0.0003 = 3250107.

Next, consider the significant digits in each number. 975.0321 has 7 significant digits, while 0.0003 has only 1 significant digit (ignoring leading zeros).

Since the number with fewer significant digits determines the result, the final answer will have only 1 significant digit.

Rounding 3250107 to 1 significant digit gives 3000000.

Convert 3000000 to scientific notation by dividing and adjusting the exponent: 3 x 10^6.

When tackling complex calculations like the division of 975.0321 by 0.0003, it's crucial to pay attention to significant digits to ensure the accuracy of the result. In this case, the precision of the final answer is limited by the number with the fewest significant digits.

By following a systematic approach and carefully rounding the result to the appropriate number of significant digits, we can represent the final answer in scientific notation for easy interpretation and comparison with other values.

Remember, mathematics is not just about finding the answer but also about understanding the process and ensuring accuracy in every step of the calculation. Keep practicing and honing your skills to master these mathematical concepts effectively.