fill in each () with one of the digits from 1 through 9 to make a true statement. Each digit may be used once.
()/()x()+()x()x()/()+()x()
1. Since there is no equal sign, any number will probably do.
2. Do the numbers need to be in numerical order, i.e. 1 followed by 2, followed by three...
no the numbers does not have to be in order. Actually there is = 100 that's what we have to come up with.
I have seen your other post and found the complete question. After a few tries, I have not come up with an answer yet. However, I have not given up the challenge yet! Will keep you posted.
If you found the solution, you could post it too!
Thanks.
To find the solution, we will try each digit from 1 to 9 until we find a combination that makes the statement true.
We start by evaluating the expression within each set of parentheses, following the order of operations:
1. ()/(): Since we are dividing a number by something, we need the result to be a whole number. This means that we need to find a digit that evenly divides another digit.
So, let's try all possible combinations:
1/1 = 1
2/1 = 2
3/1 = 3
4/1 = 4
5/1 = 5
6/1 = 6
7/1 = 7
8/1 = 8
9/1 = 9
From this, we can see that the only possible option is 9/1 = 9.
Now, let's substitute 9 for the first set of parentheses:
9/()/()+()x()x()/()+()x()
2. ()x(): Multiplication is associative, which means the order of multiplication does not matter. So, we can try different combinations:
9/1 = 9
9/1x2 = 9x2
9/(1x2) = 9/2
9/1x2 = 9x2 = 18
9/2 = 4.5
From this, we can see that the only possible option is 9/2 = 4.5.
Now, let's substitute 4.5 for the second set of parentheses:
9/4.5+()x()x()/()+()x()
3. ()/(): We also need the result of this division to be a whole number. Let's try the remaining digits:
9/4.5 = 2
9/4 = 2.25
9/3 = 3
9/5 = 1.8
9/6 = 1.5
9/7 = 1.285714285
9/8 = 1.125
9/9 = 1
From this, we can see that the only possible option is 9/3 = 3.
Now, let's substitute 3 for the third set of parentheses:
9/4.5+3x()x()/()+()x()
4. ()x(): We need to multiply two numbers to get a result. Let's try the remaining digits:
9/4.5+3x1x()/()+()x()
9/4.5+3x2x()/()+()x()
9/4.5+3x4x()/()+()x()
...
From this, we can see that there is no combination of two numbers that will give us a result. Therefore, it is not possible to fill in the remaining parentheses to make the statement true.