Final answer:
To find the quotient of 8 divided by 0.5, you multiply 8 by the reciprocal of 0.5, which is 2, resulting in 16. One-eighth of 1,000 is found by multiplying 1,000 by the reciprocal of 8, which is 0.125, resulting in 125. To calculate one-eighth of an hour in minutes, multiply 1/8 by 60, yielding 7.5 minutes.
Step-by-step explanation:
To find the quotient of 8 divided by 0.5, you can use the concept of reciprocals. Dividing by a number is the same as multiplying by its reciprocal. Since the reciprocal of 0.5 is 2, you multiply 8 by 2. This means that 8 ÷ 0.5 = 8 × 2, which equals 16.
Moreover, understanding fractions and their relationship to multiplication and division is crucial. For instance, saying that you have one-half of something is the equivalent to multiplying that thing by 0.5. Similarly, to find one-eighth of a number, you multiply by the reciprocal of 8, which is 0.125. Thus, to find one eighth of 1,000, you do 1,000 × 0.125, giving you 125.
Another example is when calculating time. To find out what is 1/8 of an hour in minutes, you multiply 1/8 by 60 minutes (since there are 60 minutes in an hour). Doing so yields 7.5 minutes, or 7 minutes and 30 seconds. This approach simplifies the arithmetic involving fractions and whole numbers.