Final answer:
In mathematics, 8.43 divided by 12.645 is a division operation that demonstrates how to divide two decimal numbers. The result should be rounded to the number of significant figures in the least precise number involved. Similar division examples include dividing various numbers by different percentages converted to decimals.
Step-by-step explanation:
When you are asked to calculate 8.43 divided by 12.645, you are performing a division operation which is a fundamental concept in mathematics. To illustrate division with similar examples, let's take the provided values. For example, if you have 543.3 divided by (19.0/100), you first convert the percentage to a decimal (0.19) and then divide 543.3 by 0.19. Similarly, 743.7 divided by (20.3/100) requires you to divide 743.7 by 0.203, and so on for each of the listed examples.
To provide a correct answer to the operation 8.43 divided by 12.645, the process is the same. First, you need to consider the significance of the numbers involved to ensure the answer reflects the correct precision. A calculator may provide a long string of decimals, but it is important to round the final result to the appropriate number of significant figures. As a rule of thumb, your answer should not have more significant figures than the least precise number you started with.
Using the rounding rule mentioned, when multiplying or dividing numbers, the result should reflect the least number of significant figures from the numbers involved. For instance, to multiply 45.86 by 100, you move the decimal point two places to the right to get 4586, which maintains the number of significant figures. However, for division, if you were to divide two numbers like 12.2 by 1.7, your answer should be rounded to the least number of significant figures, in this case, two decimal places (7.18).