Sure, let's solve the expression step-by-step.
We're given the following mathematical expression:
[tex]\[ 1 - 53 + (-19) - 42 - (-22) - (+23) + (+32) + 24 - (-15) \][/tex]
1. Let's start by resolving any subtraction of negative numbers, which translates to addition:
[tex]\[ 1 - 53 + (-19) - 42 + 22 - 23 + 32 + 24 + 15 \][/tex]
2. Next, let's group all the positive numbers and negative numbers separately for clarity:
- Positive numbers: [tex]\( 1 + 22 + 32 + 24 + 15 \)[/tex]
- Negative numbers: [tex]\( -53 + (-19) - 42 - 23 \)[/tex]
3. Now, sum up the positive numbers:
[tex]\[ 1 + 22 + 32 + 24 + 15 \][/tex]
[tex]\[ = 1 + 22 = 23 \][/tex]
[tex]\[ = 23 + 32 = 55 \][/tex]
[tex]\[ = 55 + 24 = 79 \][/tex]
[tex]\[ = 79 + 15 = 94 \][/tex]
4. Sum up the negative numbers:
[tex]\[ -53 + (-19) - 42 - 23 \][/tex]
[tex]\[ = -53 - 19 = -72 \][/tex]
[tex]\[ = -72 - 42 = -114 \][/tex]
[tex]\[ = -114 - 23 = -137 \][/tex]
5. Finally, combine the sums of the positive and negative numbers:
[tex]\[ 94 - 137 = -43 \][/tex]
Thus, the result of the expression [tex]\( 1 - 53 + (-19) - 42 - (-22) - (+23) + (+32) + 24 - (-15) \)[/tex] is
[tex]\[ -43 \][/tex]
