Odd plus odd equals?
Understand the Problem
The question is asking what the result is when you add two odd numbers together. This is a basic arithmetic question that can be solved by understanding the properties of odd numbers.
Answer
The sum of two odd numbers is even.
Answer for screen readers
The result of adding two odd numbers together is an even number.
Steps to Solve
- Identify the properties of odd numbers
An odd number can be expressed in the form $2n + 1$, where $n$ is an integer.
- Add two odd numbers
Let's denote two odd numbers as $a = 2m + 1$ and $b = 2n + 1$, where $m$ and $n$ are integers.
Now, add the two odd numbers:
[ a + b = (2m + 1) + (2n + 1) ]
- Simplify the expression
Combine the terms:
[ a + b = 2m + 2n + 2 ]
This can be factored:
[ a + b = 2(m + n + 1) ]
- Understand the result
Notice that the result $2(m + n + 1)$ is expressed in the form $2k$, where $k = m + n + 1$. This indicates that the sum of the two odd numbers is an even number.
The result of adding two odd numbers together is an even number.
More Information
This property holds for all pairs of odd numbers. For example, if you add 3 and 5 (both odd), you get 8, which is even. This pattern continues for any pair of odd numbers.
Tips
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