using each digit 0-9 exactly once to complete addition problem where answer is four digits.
To create an addition problem where each digit from 0 to 9 is used exactly once, and the answer is a four-digit number, we can follow these steps:
1. Start with the unit digit, which is the one's place in a four-digit number.
- Since each digit must be used exactly once, the unit digit can only be either 0 or 1. If we start with 0, we have nine digits remaining for the three remaining places.
- So, for example, we could have 0 as the unit digit.
2. Move to the tens place, which is the ten's place in a four-digit number.
- Since we have already used the digit 0, we have nine digits remaining. However, we have to be careful while choosing the tens digit to ensure the sum does not exceed 10.
- For example, if the unit digit is 0, we need to find a digit for the tens place that, when added to 0, gives a sum less than or equal to 10.
- Let's try 1 as the tens digit. Adding 0 and 1 gives us 1. So, 1 is a valid choice for the tens place. Now we have eight digits remaining.
3. Move to the hundreds place, which is the hundred's place in a four-digit number.
- We need to find a digit for the hundreds place that, when added to the previous two digits, gives a sum less than 10.
- Since the sum of the unit and tens digits is 1, we need to find a digit less than or equal to 8 for the hundreds place.
- We can try 2 as the hundreds digit. Adding 2 to 1 gives us 3. So, 2 is a valid choice for the hundreds place, and now we have seven digits remaining.
4. Finally, move to the thousands place, which is the thousand's place in a four-digit number.
- We need to find a digit for the thousands place that, when added to the previous three digits, gives a sum less than 10.
- Since the sum of the unit, tens, and hundreds digits is 3, we need to find a digit less than or equal to 6 for the thousands place.
- We can try 4 as the thousands digit. Adding 4 to 3 gives us 7, which is a valid sum.
Therefore, a possible solution to the addition problem using each digit 0-9 exactly once, where the answer is a four-digit number, is:
2041
+ 73
------
2114