Find the value of this integer expression: 2( 3 4 8 7) −+ − − + +++ .
If this is reverse Polish notation, there are too many operators...
To find the value of the given integer expression, let's break it down step by step:
2(3 * 4 + 8) - 7 + -
1. First, within the parentheses, we have the expression 3 * 4 + 8. We need to perform the multiplication first, then the addition.
3 * 4 = 12
So, the expression within the parentheses becomes 12 + 8.
2. Now, let's simplify further:
12 + 8 = 20
3. Next, we multiply the result by 2:
2 * 20 = 40
4. Moving on to the next part of the expression, we have - 7 + -.
Since we have multiple minus signs together, we need to determine their overall effect. Even number of minus signs cancel each other out, and odd number of minus signs indicate a negative value.
In this case, we have three minus signs, so the overall effect is negative.
Therefore, - 7 + - simplifies to -7 - (-).
5. Finally, we combine the previous result with -7 - (-):
40 + (-7 - (-))
Here, (-) represents a subtraction, so -7 - (-) means subtracting the result of the next operation.
To determine the result of -7 - (-), we can rewrite it as -7 + (-1) * (-).
Multiplying two negative numbers will result in a positive number, so (-1) * (-) equals 1.
Therefore, -7 - (-) simplifies to -7 + 1, which is -6.
Now we can rewrite the expression as 40 + (-6).
6. Adding a positive and a negative number is the same as subtracting their absolute values and keeping the sign of the larger number. In this case, 40 is positive and -6 is negative, so we subtract their absolute values:
40 + (-6) = 40 - 6 = 34
Therefore, the value of the given integer expression is 34.