There are 45 two-digit numbers that are divisible by 2.
Here's how to determine that:
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Identify the Range: Two-digit numbers range from 10 to 99.
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First Divisible Number: The first two-digit number divisible by 2 is 10.
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Last Divisible Number: The last two-digit number divisible by 2 is 98.
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Arithmetic Sequence: The numbers divisible by 2 form an arithmetic sequence: 10, 12, 14, ..., 98.
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Formula: To find the number of terms in this sequence, we can use the formula:
Number of terms = (Last term - First term) / Common difference + 1
Number of terms = (98 - 10) / 2 + 1
Number of terms = 88 / 2 + 1
Number of terms = 44 + 1
Number of terms = 45
Therefore, there are 45 two-digit numbers that are divisible by 2.