Question

Consider the expressions shown.

8 + 10 = 18
6 + 2 = 8
7 +5 = 12
9 + 13 = 22
What conjecture can be made from these expressions?
A. The sum of two even numbers or two odd numbers will be even.
B.The sum of two even numbers will be odd and C.the sum of two odd numbers will be even.
D.The sum of two even numbers or two odd numbers will be odd.

Answer 1

The conjecture that can be made from the given expressions is that the sum of two even numbers or two odd numbers will always be even.

Step-by-step explanation:

From the given expressions, we can make a conjecture about the sum of numbers. Observing the expressions:

• 8 + 10 = 18
• 6 + 2 = 8
• 7 + 5 = 12
• 9 + 13 = 22

The conjecture that can be made is that A. The sum of two even numbers or two odd numbers will be even. This is supported by the fact that in each expression provided, when you add two even numbers, or two odd numbers, the result is an even number. This aligns with the basic principle that even + even = even, and odd + odd = even.