Let's solve the equation step-by-step.
We start with the expression:
[tex]\[ 30 - 41 \][/tex]
First, observe that subtracting 41 from 30 involves finding how much more 41 is than 30.
To make this clearer, consider the difference between the two numbers:
[tex]\[ 30 - 41 \][/tex]
One effective way to handle subtraction involving a larger number being subtracted from a smaller number is to use the concept of adding the opposite (or additive inverse).
Notice that subtracting a number is the same as adding its negative:
[tex]\[ 30 - 41 = 30 + (-41) \][/tex]
Now, let's rewrite and interpret this:
[tex]\[ 30 + (-41) \][/tex]
Adding a negative number is equivalent to subtracting the absolute value of that number from the original number. So, this is essentially:
[tex]\[ 30 - 41 \][/tex]
To perform this subtraction, we consider the numerical values of the two:
- The absolute value of 41 is greater than 30.
- The difference in magnitude (absolute value) is:
[tex]\[ 41 - 30 = 11 \][/tex]
Since [tex]\( 41 \)[/tex] is greater than [tex]\( 30 \)[/tex], we know the result will be negative. Therefore, the operation [tex]\( 30 - 41 \)[/tex] results in:
[tex]\[ -11 \][/tex]
So the answer is:
[tex]\[ 30 - 41 = -11 \][/tex]
