I need to insert 1 or more sets of parenthesis or brackets to make the following equation equal 0 and then equal 1:
-2^2+2^2/1/3-1/3*3-4
I have tired every combination I could think of and can't get it right.
To insert parentheses or brackets to make an equation equal to a specific value, you need to consider the order of operations and how the parentheses affect the calculation.
Let's start with the given equation: -2^2 + 2^2 / 1 / 3 - 1 / 3 * 3 - 4.
To make the equation equal to 0, you can insert parentheses or brackets to group certain operations together that will cancel each other out.
One way to achieve this is by grouping the first and second terms: (-2^2 + 2^2) / (1 / 3 - 1 / 3 * 3 - 4).
Now, let's simplify the grouped terms to determine if the equation results in zero:
(-2^2 + 2^2) = (-4 + 4) = 0.
Next, let's simplify the remaining part of the equation:
(1 / 3 - 1 / 3 * 3 - 4) = (1 / 3 - 1 - 4) = (1 / 3 - 5) = -4 2/3.
So, the equation becomes:
0 / -4 2/3.
Dividing zero by any non-zero number will always result in zero. Therefore, this equation evaluates to 0.
To make the equation equal to 1, you can try different combinations of parentheses or brackets until you find a solution. However, in this particular equation, it may not be possible to achieve a result of 1 by inserting parentheses or brackets.