To arrange the integers `135, -87, -9, 87, -23, 263, -172, 18` in ascending order, we will follow these steps:
### Step 1: Identify the integers
The integers we need to arrange are:
- Positive integers: 135, 87, 263, 18
- Negative integers: -87, -9, -23, -172
### Step 2: Understand ascending order
Ascending order means arranging the numbers from the smallest to the largest. Negative integers are smaller than positive integers.
### Step 3: Arrange negative integers
Among the negative integers, we need to find the one with the largest negative value (i.e., the one with the smallest absolute value) to start:
- The negative integers are: -172, -87, -23, -9
- Arranging them in ascending order gives us: -172, -87, -23, -9
### Step 4: Arrange positive integers
Now, we will arrange the positive integers:
- The positive integers are: 135, 87, 263, 18
- Arranging them in ascending order gives us: 18, 87, 135, 263
### Step 5: Combine both ordered lists
Now we combine the ordered negative integers with the ordered positive integers:
- The complete ascending order is: -172, -87, -23, -9, 18, 87, 135, 263
### Final Answer
Thus, the integers arranged in ascending order are:
**-172, -87, -23, -9, 18, 87, 135, 263**
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