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Determine if 48,548 is divisible by 2 without dividing. Explain how you know.
To determine if the number 48,548 is divisible by 2 without actually performing the division, you can use the divisibility rule for 2.
### Step-by-Step Solution:
1. Identify the last digit of the number: The last digit of 48,548 is 8.
2. Check if the last digit is even: The rule for divisibility by 2 states that a number is divisible by 2 if its last digit is even. The even digits are 0, 2, 4, 6, and 8.
3. Determine if the identified last digit is even: The last digit of 48,548 is 8, which is an even number.
4. Conclusion based on the divisibility rule: Since the last digit (8) is even, 48,548 is divisible by 2.
Therefore, by using the divisibility rule for 2 and checking the last digit of the number, we find that 48,548 is indeed divisible by 2.
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