corrected ?
TWO ODDS =ODD?
OR 1 ODD+1EVEN=EVEN?
Cam -- I've stood on my head to try to give you examples. How can two odd numbers, like 3 + 5 = an odd number??
tHANKS--I CAN'T THINK OF ANY EITHER
Two odds =even,
ex: 1+1=2, 5+9=14, 77+3=80 ...
you always get an even when adding two adds
1odd+1even =odd
ex: 2+5=7, 11+8=19, 101+2=103 ...
you always get an odd,
To determine if the sum of two odd numbers is odd or if the sum of one odd number and one even number is even, let's break it down.
1. Two odds = odd:
- An odd number can be expressed as 2n + 1, where n is any integer.
- Let's say we have two odd numbers, "a" and "b".
- So, a = 2n1 + 1 and b = 2n2 + 1, where n1 and n2 are integers.
- The sum of these two odd numbers would be: a + b = (2n1 + 1) + (2n2 + 1) = 2(n1 + n2 + 1).
- Notice that the sum can be written in the form 2k, where k = n1 + n2 + 1, and k is an integer.
- Since the sum is divisible by 2, it is an even number, not odd.
2. One odd and one even = even:
- An even number can be expressed as 2n, where n is any integer.
- Let's say we have an odd number "a" and an even number "b".
- So, a = 2n1 + 1 and b = 2n2, where n1 and n2 are integers.
- The sum of these two numbers would be: a + b = (2n1 + 1) + (2n2) = 2(n1 + n2) + 1.
- Notice that the sum can be written in the form 2k + 1, where k = n1 + n2, and k is an integer.
- Since the sum has a remainder of 1 when divided by 2, it is an odd number, not even.
Therefore, the correct statement is:
Two odds = odd
One odd and one even = odd