An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. 0 is an even number.
It will be Odd if the original number was Odd - you have O + O + O = (O + O) + O = E + O = O Otherwise it will be Even if the original number was Even - you have E + E + E = (E + E) + E = E + E = E ------------------------------ Algebraically: For an odd number x = 2n + 1 where n is an integer 3x = 3 × (2n + 1) = 6n + 3 = 6n + 2 + 1 = 2(3n + 1) + 1 = 2m + 1 where m = 3n + 1 which is an odd number For an even number x = 2n where n is an integer 3x = 3 × 2n = 6n = 2(3n) = 2m where m = 3n which is an even number
Yes it would Even + even = even Even + odd = odd Odd + odd = even
Remember ODD +/- ODD = EVEN Odd +/- EVEN = Odd Even +/- Odd = odd Even +/- Even = Even. Similarly. Multiplication and division. Odd X Odd = Odd ( e.g. 3 x 5 = 15) Odd X Even = Even ( e.g. 3 x 4 = 12) Even X Odd = Even ( e.g. 6 x 5 = 30) Even X even = Even ( e.g. 6 x 8 = 48). Note the subtle differences between addition and Multiplication.
because... odd+odd=even even+odd=odd e.g 1+1+1=3 odd+odd+odd=odd
because that's the theory of maths even x even = even even x odd = odd even + even = even even + odd = odd
even
You cannot. The sum of any two odd numbers is even (O+O=E), the sum of any two even numbers is even (E+E=E) and the sum of an odd and an even (or even and odd) is odd (O+E=E+O=O). O+O+O+O+O = O+O+O+O+O = E + E +O = E +O = O Addition is commutative, that is, the order in which you add the numbers does not matter. Some trial and error will demonstrate commutativity, though a proof is more complicated.
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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. 93 is an odd number.
It will be Odd if the original number was Odd - you have O + O + O = (O + O) + O = E + O = O Otherwise it will be Even if the original number was Even - you have E + E + E = (E + E) + E = E + E = E ------------------------------ Algebraically: For an odd number x = 2n + 1 where n is an integer 3x = 3 × (2n + 1) = 6n + 3 = 6n + 2 + 1 = 2(3n + 1) + 1 = 2m + 1 where m = 3n + 1 which is an odd number For an even number x = 2n where n is an integer 3x = 3 × 2n = 6n = 2(3n) = 2m where m = 3n which is an even number
Odd. Even + Even = Even Odd + Odd = Even Odd + Even = Even + Odd = Odd
even times even = even odd times even = even odd times odd = odd
odd * odd = odd answer even * even = even answer odd * even = even answer
Yes. Even + Even = Even, Odd + Odd = Even and Even + Odd or Odd + Even = Odd
No. Sum of odd + odd = even Sum of odd + even = odd Sum of even + even = even
Always. even + even = even odd + odd = even even + odd = odd odd + even = odd To summarise, if you add like numbers you get even, otherwise you get odd.
even times even = even odd times even = even odd times odd = odd