Are there more even or odd numbers between 1 and 100?
Given: Numbers from 1 to 100
Even numbers: 2, 4, 6, ... 100 = 50 numbers
Odd numbers: 1, 3, 5, ... 99 = 50 numbers
Conclusion: There are equal numbers of even and odd numbers between 1 and 100.
Reasoning: Even and odd numbers alternate in consecutive order, so they occur in equal quantities in any complete range starting from 1.
Explanation
The chapter helps students understand that even and odd numbers alternate in consecutive order. From 1 to 100, we have 100 numbers total, with 50 even numbers and 50 odd numbers. This pattern holds true for any complete range starting from 1.
Solution Steps
Count even numbers from 1 to 100: 2, 4, 6, ... 100 = 50 numbers
Count odd numbers from 1 to 100: 1, 3, 5, ... 99 = 50 numbers
Compare: 50 even = 50 odd, so there are equal numbers