Final answer:
To find the number of even two-digit numbers, first, note that even numbers are divisible by 2. The first digit can be any number from 1 to 9, and the second digit can be any even number from 0 to 9. Multiply the possibilities for each digit to find the total number of even two-digit numbers, which is 45.
Step-by-step explanation:
To find the number of even two-digit numbers, we can use a systematic approach. We know that even numbers are divisible by 2. In a two-digit number, the first digit can be any number from 1 to 9, and the second digit can be any even number from 0 to 9. Since there are 5 even numbers (0, 2, 4, 6, 8), we can multiply the possibilities for each digit to find the total number of even two-digit numbers. Thus, the total number of even two-digit numbers is 9 (possibilities for the first digit) multiplied by 5 (possibilities for the second digit), which equals 45.
As a few examples, we can list some even two-digit numbers:
- 10
- 12
- 14
- 16
- 18
- 20
- 22
- 24
- 26
- 28
- 30
- 32
- 34
- 36
- 38
- 40
- 42
- 44
- 46
- 48
- 50
- 52
- 54
- 56
- 58
- 60
- 62
- 64
- 66
- 68
- 70
- 72
- 74
- 76
- 78
- 80
- 82
- 84
- 86
- 88
- 90
- 92
- 94
- 96
- 98