each expression has four 4s and equals 1.
4+4/4-4
(4+4) / (4+4)
44/44
a. Evalute the xpressions to show that they all have a value of 1.
b. Make new expressions that equal each whole number from 2 to 10 for example, 4/4+4/4=2
-you may combine digits.
-you can multiply, divide, add, and subtract, and use powers, square roots, and brackets.
-There may be more than one solution.
-there may be more than one solution.
-you must use all four 4s in each expression.
thanks
4/4+4/4=2
Can you give a try to make the other ones. We don't want to deprive you of the pleasure of finding the answers.
a. To evaluate the given expressions and show that all of them have a value of 1, let's go through each one step by step:
1. 4 + 4/4 - 4:
- Start by evaluating the division first: 4/4 = 1.
- Then, substitute the result back into the expression: 4 + 1 - 4.
- Finally, perform the addition and subtraction: 4 + 1 - 4 = 1.
2. (4 + 4) / (4 + 4):
- Begin by evaluating the addition within the parentheses: 4 + 4 = 8.
- Substitute the result back into the expression: 8 / (4 + 4).
- Now, evaluate the addition within the parentheses again: 4 + 4 = 8.
- Substitute the final result back into the expression: 8 / 8.
- Finally, perform the division: 8 / 8 = 1.
3. 44 / 44:
- Simply divide the two numbers: 44 / 44 = 1.
b. To create expressions that equal each whole number from 2 to 10 using four 4s, follow these guidelines:
1. For 2: Use the square root function twice: √4 = 2.
2. For 3: Use the square root and factorial functions: √√4! = 3 (4 factorial means 4!).
3. For 4: As given, the expression 4/4 + 4/4 = 2.
4. For 5: Use the square root and square functions: (4 + √4) / √4 = 5.
5. For 6: Use the square root and factorial functions: sqrt(4) + sqrt(4) + 4/4 = 6.
6. For 7: Use the square root and factorial functions: sqrt(4) + sqrt(4) + 4 - (4/4) = 7.
7. For 8: Use the square root and factorial functions: sqrt(4) + sqrt(4) + 4 + 4/4 = 8.
8. For 9: Use the square root and factorial functions: sqrt(4) + sqrt(4) + sqrt(4) + 4/4 = 9.
9. For 10: Use the square root and factorial functions: sqrt(4) + sqrt(4) + sqrt(4) + sqrt(4) = 10.
Please note that there can be multiple valid solutions for each whole number from 2 to 10, and the examples provided above are just one possible set of solutions.