Question

Make conjectures about whether the results below will be even or odd. a) the sum of two even numbers. b) the sum of two odd numbers

Answer 1

The sum of two even numbers will be even, as well as the sum of two odd numbers will also be even. This is due to the properties of addition for even and odd numbers.

Step-by-step explanation:

To conjecture about whether the sum of two numbers is even or odd, we can use examples and properties of even and odd numbers:

• Even numbers: An even number is any integer that can be divided by 2 without leaving a remainder. Examples of even numbers are 2, 4, 6, etc.
• Odd numbers: An odd number is any integer that cannot be evenly divided by 2. Examples of odd numbers are 1, 3, 5, etc.

a) The sum of two even numbers will always be even. For example, 2 (even) + 4 (even) = 6 (even).

b) The sum of two odd numbers will always be even as well. For example, 3 (odd) + 5 (odd) = 8 (even).

Using these principles, we can make the following conjectures:

1. The sum of two even numbers will be even.
2. The sum of two odd numbers will also be even.