Final answer:
The task is to create equations from zero to ten using five 4's. Solutions involve basic operations and application of operations' rules for signs, along with careful algebraic manipulation.
Step-by-step explanation:
The question involves creating equations that equal numbers from zero to ten using exactly five 4's and any basic mathematical operations. Here are the solutions:
- 0 = 44 - 44
- 1 = (4\4) + (4-4)/4
- 2 = (4\4) + (4\4)
- 3 = (4 + 4 + 4 - 4) / 4
- 4 = 4 + (4*(4-4)) / 4
- 5 = (4*4 + 4) / 4 - 4
- 6 = 4 + (4 + 4 - 4) / 4
- 7 = 44/4 - 4
- 8 = 4 + 4 + (4 - 4) / 4
- 9 = 4 + 4 + 4/4 - 4
- 10 = (44 - 4) / 4 - 4
To find these solutions, eliminate terms where possible to simplify the algebra. Check the answers to see if they are reasonable. Remember to follow the appropriate rules for the signs when multiplying or dividing numbers.