You use each roll to create a decimal between 18 and 19. What two decimal should you create the greatest possible difference
To create the greatest possible difference between two decimals, one decimal should be as close to 18 as possible, while the other decimal should be as close to 19 as possible.
To achieve this, we can use a roll outcome of 1, since it is the lowest possible number on a six-sided die.
Thus, rolling a 1 would create a decimal of 18.1.
To create a decimal as close to 19 as possible, we can use a roll outcome of 6, since it is the highest possible number on a six-sided die.
Thus, rolling a 6 would create a decimal of 18.6.
The greatest possible difference between these two decimals would be 18.6 - 18.1 = 0.5.
To create the greatest possible difference between two decimals between 18 and 19 using each roll, you should aim to maximize the difference in the tenths place. This can be done by obtaining a 9 in the tenths place for one decimal and a 0 in the tenths place for the other decimal.
To achieve this, follow these steps:
Step 1: Roll the dice (assuming it is a fair six-sided dice) and note the result.
Step 2: Multiply the result by 0.1 to obtain the tenths place value.
Step 3: If the result is 5 or higher, consider it as 9 in the tenths place. If it is lower than 5, consider it as 0 in the tenths place.
Step 4: Repeat steps 1-3 once more and create another decimal using the rolled values.
By following these steps and obtaining a 9 in the tenths place for one decimal and a 0 in the tenths place for the other decimal, you can create the greatest possible difference between two decimals between 18 and 19.
To find the two decimals that will result in the greatest possible difference between them, we need to consider the two endpoints of the range (18 and 19) and try to create decimals as close to those endpoints as possible.
Let's break it down step by step:
1. Start with the lower endpoint, which is 18. To get as close to 18 as possible, we want the first decimal to be as close to 18 as possible.
2. Our dice has 10 sides, numbered from 0 to 9. So, roll the dice once to randomly generate a number between 0 and 9. Let's say we get a 7.
3. We now have 18.7. This is the closest we can get to 18 using a single decimal place.
4. Now, let's focus on the upper endpoint, which is 19. To get as close to 19 as possible, we want the second decimal to be as close to 19 as possible.
5. Repeat step 2 and roll the dice again. Let's say we get a 2.
6. We now have 19.2. This is the closest we can get to 19 using a single decimal place.
7. To calculate the difference between the two decimals, subtract the smaller decimal from the larger decimal: 19.2 - 18.7 = 0.5.
Therefore, to create the greatest possible difference between the two decimals while staying within the range of 18 to 19, the two decimals you should create are 18.7 and 19.2, resulting in a difference of 0.5.