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How do you prove by algebra that if you add two even numbers you get an even number?
Wiki User
∙ 15y ago
You use the definition of even numbers which says it is a number of the form 2n for some integer n, and you take two of them, say 2n and 2m and add them and see that you have 2n+2m=2(n+m) and since n and m are integers so is n+m so lets call it p so the sum is 2p and this is even by definition of even numbers
Wiki User
∙ 15y ago
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Prove using algebra that the sum of two consecutive whole numbers is always an odd number?
Let a=any integer. If a+(a+1)=2a+1. Any number multiplied by 2 will be even, and if we add 1 to this number, it will be an odd number.
Are odd numbers divisible by even numbers?
No. because odd numbers don't have 2 as a factor but even numbers do. So it won't be a whole number.
What are consecutive even or odd integers?
Consecutive even numbers are any even numbers which are separated by one (uneven) number... so that 6 and 8 are consecutive even numbers... as are 22, 24 and 26. Similarly, consecutive odd numbers are numbers which are separated by one (even) number... so that 11 and 13 are consecutive odd numbers... as are 31, 33 and 35.
Are even numbers closed under addition?
Yes, when you add any two even numbers, the result is always an even number.
Why are all even numbers composite except for the number two?
Composite numbers are numbers composed of 2 or more primes. 2 is a prime number. Any other (positive) even number is a product of 2 and some other number (not 1).
Prove using algebra that the sum of two consecutive whole numbers is always an odd number?
Let a=any integer. If a+(a+1)=2a+1. Any number multiplied by 2 will be even, and if we add 1 to this number, it will be an odd number.
How do you prove that ten is a composite number?
All even numbers greater than 2 are composite.
Do two even numbers equal an odd number?
Two even numbers never, NEVER equal an odd number. For example, 2+2=4, 150+68= 218, 1,000,000+2= 1,000,002. However, two odd numbers equal an even number. For example, 13+45= 58. It is the same when multiplying negatives and postitives, as seen in Pre Algebra.
How do you prove that six is an even number?
It is divisible by 2 so it is an even number
What is the sum of two odd and even numbers?
The sum of two odd numbers or two even numbers is an even number. The sum of an odd number and an even number is an odd number.
What two numbers multiply to get 128 and add to get 8?
136
What odd number is divisible by an even number?
No odd numbers are divisible by even numbers.
Is the gcf an even number if the numbers are even numbers?
Yes.
How do you write an odd number with even numbers?
If you add, subtract, or multiply two even numbers, you will get an even number. If you divide an even number by another even number, you may get an even number, an odd number, or even a fraction.
Which numbers when multiplied by 5 gives an odd numbers?
Every odd number. Multiplying two even numbers gives an even number. Multiplying an odd and an even number gives an even number. Multiplying two odd numbers gives an odd number.
Can even square numbers mutiply into an odd number?
Even square numbers are even, by definition. Two even numbers multiplied together give an even number so no, they cannot multiply to give an odd number. You have to multiply an even number by an odd number to do this.
What is an even number minus an even numbers?
its another even number.
