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Yes --------------------------------------------- Let n be an integer. Then 2n is an even number Let m be an integer. Then 2m is an even number and 2m + 1 is an odd number. Then: even + odd = (2n) + (2m + 1) = (2n + 2m) + 1 = 2(n + m) + 1 = 2k + 1 (where k = m + n) which is an odd number.
Answer 2 Think about it. Assume that 1 is the odd number you are adding to an even number. Adding it will take you to the next number - which must be an odd number. If you add it to that number, it will take you to the next number, which now is an even number. If you use a number larger than 1 the principal is still the same.
The sum of any two odd numbers is always even. This is because (a) any odd number can always be expressed as an even number plus 1, and (b) the sum of two even numbers is always even. So if X is even and Y is even then X+1 added to Y+1 will equal X+Y+2
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Odd plus even is odd.
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even plus odd is odd.
the answer is even 3+1 = 4 3+3=6
Smallest even number 2Smallest odd number 12 + 1 = 3
The sum of an odd and an even number is odd. Any odd number can be expressed as 2n + 1 (for some integer "n"). Any even number can be expressed as 2m (for another integer, "m"). The sum of the two is 2(m+n) + 1. Since the expression in parentheses is an integer, multiplying it by 2 gives you an even number. Adding 1 makes the entire expression odd.
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An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. 2 is an even number.
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even plus odd is odd.
Sum of two odd numbers is always an even number.e.g. 1 + 7 = 8Explanation:The successor of an odd number is an even number and the successor is obtained by adding 1.Let us assume any odd number, say n.On adding 1(i.e. an odd number) to n we get an even number and again on addition of 1 or addition of 2(an even number) to n we get an odd number. If we continue to add like this we get to know that addition of two odd numbers is always an even number.
An odd number plus an odd number will be an even number. Odd number A is (even number + 1) Odd number B is (even number + 1) A + B = (even number + 1) + (even number + 1) = even number + even number + 2 Since all even numbers are divisible by 2 and 2 is divisible by 2, each part of the result is divisible by 2, so the sum as a whole is divisible by 2, which means it is an even number.