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all even numbers can be written in the form 2k where, k is an integer. all odd numbers can be written in the form 2j+1, where j is an integer.
2k + 2j + 1 = 2(k+j) + 1. You can see that this is in the form of an odd number. hence, the sum of an odd number and an even number is always odd.
Test the theory. Pick any even and any odd number. Add them. The total will always be odd.
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Why is the sum os an even and odd number a odd number?
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
What combination of numbers always results in an odd number?
Multiply two odd numbers Add an even and an odd Subtract an odd and an even
How can the sum of 3 odd numbers is always odd?
When you add an odd number to an odd number, you get an even number. When you add an odd number to that even number, the sum is always odd. Don't believe it? Try a few examples yourself.
Is it true or false that when you add 2 odd numbers your answer will always be odd?
false even not odd 7 + 3 = 10 41 + 5 = 46 and so on ... . when you add 2 odd numbers your answer will always be even
What is true about two odd numbers?
When you add them, you always get an even number; when you multiply them, the result is always odd.
