use each of the digits 0 1 3 4 5 exactly once to write a decimal subtraction problem.the difference must be the same as one of the decimals in the problem
304-152=152
To create a decimal subtraction problem using the digits 0, 1, 3, 4, and 5 exactly once, with the difference being the same as one of the decimals in the problem, you can follow these steps:
Step 1: Choose a decimal number from the available digits.
Let's use the number 4 as the decimal we want to have as the difference.
Step 2: Determine the first decimal number.
Since we need to include all the digits once, we can use the remaining four digits (0, 1, 3, and 5) to form the first decimal number. Let's arrange the digits in ascending order, resulting in 0135.
Step 3: Determine the second decimal number.
To create the second decimal number, we need to consider the first decimal number subtracted by the difference we chose in Step 1. So, subtracting 4 from 0135 results in 131.
Step 4: Write the subtraction problem.
The subtraction problem using the chosen digits and difference is as follows:
0135
- 131
-------
4
The difference is indeed the same as the decimal in the problem, which is 4.
To create a decimal subtraction problem using the digits 0, 1, 3, 4, and 5 exactly once, we need to ensure that the difference is equal to one of the decimals in the problem. Let's go step by step to find a solution:
Step 1: Start by deciding on the order of the digits. We have five digits, so the number of possible combinations is 5! (5 factorial) or 5 x 4 x 3 x 2 x 1 = 120.
Step 2: Determine the possible numbers we can create using these digits. The smallest possible decimal is 0.345 (formed by arranging the digits in ascending order), and the largest possible decimal is 5.431 (formed by arranging the digits in descending order). Thus, we have a range of possible decimals: 0.345 to 5.431.
Step 3: We need to find a difference (another decimal) from the possible range we found in Step 2 that can be represented as a subtraction problem using the given digits.
Let's try an example: 5.431 - 1.540 = 3.891
In this example, we have used all the digits (0, 1, 3, 4, and 5) exactly once, and the difference, 3.891, is also within the range of possible decimals we found in Step 2.
Therefore, a possible subtraction problem using the digits 0, 1, 3, 4, and 5 exactly once, where the difference is the same as one of the decimals in the problem, is:
5.431 - 1.540 = 3.891