Final Answer:
a) The quotient for 0.8 ÷ 10 is 0.08.
b) The quotient for 1.36 ÷ 10 is 0.136.
c) The quotient for 12.7 ÷ 100 is 0.127.
d) The quotient for 315 ÷ 1,000 is 0.315.
Explanation:
In each case, the quotient is obtained by dividing the numerator (the number being divided) by the denominator (the number by which the numerator is being divided). For example, in the case of 0.8 ÷ 10, you divide 0.8 by 10 to get the quotient of 0.08. This is calculated as 0.8 / 10 = 0.08.
Similarly, for 1.36 ÷ 10, you divide 1.36 by 10 to get the quotient of 0.136. The calculation is 1.36 / 10 = 0.136.
For 12.7 ÷ 100, the quotient is 0.127. This is calculated as 12.7 / 100 = 0.127.
Lastly, for 315 ÷ 1,000, the quotient is 0.315. The calculation is 315 / 1,000 = 0.315.
It's important to note that dividing a number by 10 moves the decimal point one place to the left, and dividing by 100 moves it two places to the left. In the case of 1,000, it moves three places to the left. Understanding this relationship is key to quickly and accurately determining the quotient for these types of divisions.