Final answer:
The solution to the expression 24 + |‑23| + (‑32) is 15. This is found by taking the absolute value of ‑23, which is 23, and then applying the rules of addition and subtraction to find that 24 plus 23 minus 32 equals 15.
Step-by-step explanation:
The solution to the expression 24 + |‑23| + (‑32) involves understanding the concept of absolute value and the rules of addition and subtraction for numbers with different signs.
The absolute value of a number is the distance between the number and zero on a number line, regardless of the direction. Therefore, |‑23| equals 23 because the distance from ‑23 to 0 is 23 units. According to the rules for adding and subtracting numbers:
- When two positive numbers add, the answer is positive.
- When two negative numbers add, the answer is negative.
- When two numbers with opposite signs add, subtract the smaller number from the larger one, and the answer has the sign of the larger number.
- In subtraction, change the sign of the number being subtracted, and then follow the addition rules.
Following these rules, the expression simplifies to:
- 24 + 23 = 47
- 47 + (‑32) = 47 ‑ 32
- Therefore, the final answer is 15.