Write and expression that has a value of 100 and the following restrictions:
1. Uses each of the four operations at most once
2. Uses no parentheses
3. Use only the digit 3
You need to use -,+,*,and division to meet the restrictions.
To create an expression with a value of 100 using only the digit 3 and following the given restrictions, we can use the following expression:
3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 33 + 33 = 100
Here's an explanation of how to derive this expression:
1. Start with the digit 3.
2. Add three 3's together: 3 + 3 + 3 = 9.
3. Multiply the result by the digit 3: 9 * 3 = 27.
4. Add three 3's together: 27 + 3 + 3 + 3 = 36.
5. Multiply the result by the digit 3: 36 * 3 = 108.
6. Subtract three 3's from the result: 108 - 3 - 3 - 3 = 99.
7. Add two 33's together: 99 + 33 + 33 = 165.
8. Subtract the digit 3 from the result: 165 - 3 = 162.
9. Finally, subtract 62 from the result: 162 - 62 = 100.
Therefore, the expression 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 33 + 33 has a value of 100 while satisfying all the given restrictions.
You do not need to use all four operations ("at most").
33*3 + 3/3 = 100