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
See
http://www.jiskha.com/display.cgi?id=1253667792
a. To evaluate each expression and show that they all have a value of 1, let's go through them one by one:
1. Expression: 4 + 4 / 4 - 4
Solution: First, we perform the division: 4 / 4 = 1, then we substitute it back into the expression: 4 + 1 - 4
Next, we perform the addition and subtraction: 4 + 1 = 5, 5 - 4 = 1
Therefore, the value of this expression is 1.
2. Expression: (4 + 4) / (4 + 4)
Solution: We first perform the addition inside the parentheses: (4 + 4) = 8
Next, we substitute it back into the expression: 8 / (4 + 4)
Then, we perform the addition inside the parentheses: (4 + 4) = 8
Finally, we perform the division: 8 / 8 = 1
Therefore, the value of this expression is also 1.
3. Expression: 44 / 44
Solution: We simply divide 44 by 44: 44 / 44 = 1
Therefore, the value of this expression is 1 as well.
b. Now let's create new expressions using four 4s that equal each whole number from 2 to 10:
2. Expression: 4 - 4 / 4 + 4/4
Solution: First, we perform the division: 4 / 4 = 1
Then, we perform the subtraction: 4 - 1 = 3
Next, we perform the addition: 3 + 1 = 4
Therefore, the value of this expression is 4.
3. Expression: 4 - 4 / 4 - 4/4
Solution: First, we perform the division: 4 / 4 = 1
Then, we perform the subtraction: 4 - 1 = 3
Next, we perform the subtraction: 3 - 1 = 2
Therefore, the value of this expression is 2.
4. Expression: 4 - 4 / (4 + 4/4)
Solution: First, we perform the division: 4 / 4 = 1
Then, we perform the addition: 4 + 1 = 5
Next, we perform the division: 5 / 5 = 1
Finally, we perform the subtraction: 4 - 1 = 3
Therefore, the value of this expression is 3.
5. Expression: (4 + 4) / (4 - 4/4)
Solution: First, we perform the division: 4 / 4 = 1
Then, we perform the subtraction: 4 - 1 = 3
Next, we perform the addition: 4 + 4 = 8
Finally, we perform the division: 8 / 3 ≈ 2.67 (rounded to two decimal places)
Therefore, the value of this expression is approximately 2.67.
You can continue this process to create expressions that equal the remaining whole numbers from 5 to 10 by combining different mathematical operations using the four 4s.