Need to make a problem, using parentheses and use as many operations to write an expression equal to to th target number. You can only use each number once in an expression.
Numbers 6,7,12,14,20 Target number = 41
Does anyone have any ideas
To create an expression using the given numbers (6, 7, 12, 14, and 20) and operations that evaluates to the target number (41), you can follow these steps:
Step 1: Determine the order of operations
In this case, the order of operations you should follow is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
Step 2: Start building the expression
Since we can only use each number once, we can try different combinations of numbers and operations until we find an expression that equals 41.
Option 1:
Let's start with one possible expression:
(6 * 7) + 20 - 12 / 14
Option 2:
Another possible expression:
((6 + 12) * 7) / (20 - 14)
Option 3:
Yet another possible expression:
6 + ((7 - 12) * (20 - 14))
Step 3: Evaluate the expressions
Using a calculator or by hand, we can compute the value of each expression:
Option 1: (6 * 7) + 20 - 12 / 14
First, calculate 6 * 7 = 42
Then, calculate 12 / 14 = 0.857 (rounded to three decimal places)
Finally, combine the results: 42 + 20 - 0.857 = 61.143
Option 2: ((6 + 12) * 7) / (20 - 14)
First, calculate 6 + 12 = 18
Then, calculate 20 - 14 = 6
Next, calculate 18 * 7 = 126
Finally, divide 126 by 6: 126 / 6 = 21
Option 3: 6 + ((7 - 12) * (20 - 14))
First, calculate 7 - 12 = -5
Then, calculate 20 - 14 = 6
Next, multiply -5 by 6: -5 * 6 = -30
Finally, add 6 and -30: 6 + (-30) = -24
None of the computed values match the target number of 41.
Step 4: Modify the expressions
Given the initial expressions didn't provide the desired result, we can modify them by rearranging the numbers and operations.
Option 1 (modified):
((6 + 12) * 14) / 20 - 7
Option 2 (modified):
(20 - 6 * 7) - 12 + 14
Option 3 (modified):
(6 * 7) - (20 - 12) - 14
Step 5: Re-evaluate the modified expressions
Using the same approach as before, we can compute the value of each modified expression:
Option 1 (modified): ((6 + 12) * 14) / 20 - 7 = (18 * 14) / 20 - 7 = 252 / 20 - 7 = 12.6 - 7 = 5.6
Option 2 (modified): (20 - 6 * 7) - 12 + 14 = (20 - 42) - 12 + 14 = -22 - 12 + 14 = -20 + 14 = -6
Option 3 (modified): (6 * 7) - (20 - 12) - 14 = 42 - 8 - 14 = 20
None of the modified expressions evaluate to the target number 41.
Since none of the expressions evaluated to the target number, the requested problem cannot be solved using the given numbers and operations.