Final answer:
To solve 10^2 divided by 0.00541, you convert the number to an easier division of 100,000 by 5.41 by manipulating the decimal place, which gives the correct answer as approximately 18476, option (a).
Step-by-step explanation:
To calculate 10^2 divided by 0.00541, you manipulate powers of ten and divide the given numbers. First, recognize that 10^2 (or 10 to the power of 2) is 100. Now, we need to divide 100 by 0.00541. To perform this calculation, it might be easier to first deal with the division by a power of ten.
When dealing with powers of ten, it's helpful to understand how they affect the decimal point in a number. For instance, consider that:
- For positive powers, like 10^2, the decimal point moves to the right as the number becomes larger.
- For negative powers, like 10^-2, the decimal point moves to the left as the number becomes smaller.
So, 100 divided by 0.00541 is a division problem that can be written as 100 / 0.00541. To get the answer:
- Move the decimal point in 0.00541 three places to the right to make it an easier number to divide, which gives us 5.41.
- Move the decimal in 100 (which is implicit, as in 100.0) three places to the right as well to keep the division equivalent, turning it into 100,000.
- Now divide 100,000 by 5.41 to get the answer.
When you perform the division, you get approximately 18476.
Therefore, the correct answer is option (a) 18476.