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because it can, if you add odd numbers the always don't have to be an odd number
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What is true about the sum of 2 odd numbers?
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.
Why is that there are no consecutive prime numbers?
2 and 3 are consecutive prime numbers; therefore, such a concept does exist, but those are the only two consecutive primes. The reason there are not any others: natural numbers alternate between odd and even numbers. When the number is even, then 2 is a factor. The number 2 is the only even prime number (it's only factors are 2 and 1). All other even numbers have factors, in addition to 2 & 1. So if a number is prime, and the number is not 2, then it is an odd number. The two numbers on either side of an odd number are even. So if the prime number is greater than 3, then the two numbers on either side of it will be even numbers, which are not primes.
How do i solve the set of odd numbers is closed under addition?
You can't. Adding any two odd numbers always gives an even number, which is not a member of the set of odd numbers.
Are even numbers closed in addition?
Yes, they are.
Why is the sum always a even number when you add even numbers?
asking that question is like asking how we know what 2 plus 2 there is no answerYes, there is an answer.To add even numbers is to add sets of two. When you add sets of two, you will always come up with another set of two. Addition of even numbers does not divide the set in two in half, which would result in an odd answer.In Algebra, ax + bx = (b+c)x. If x is two, then we have the addition of even numbers. The result, we see, is divisible by x-two-and thus be an even number.
Are even numbers closed for addition?
Yes, the sum of any two even numbers is an even number. This means they are closed under addition. Closure Property: For every even number a, for every even number b, a + b is an even number.
Are even numbers under addition numbers?
Yes, when you add any two even numbers, the result is always an even number.
Are even numbers closed under addition?
Yes, when you add any two even numbers, the result is always an even number.
Odd number plus an odd number?
Addition of two odd numbers will always give an even number.
Are the numbers that are even also prime?
2 is the only even prime number because all other even numbers are divisible by 2, causing them to have a factor in addition to 1 and the number itself.
What is true about the sum of 2 odd numbers?
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.
What are closed numbers?
It depends on what the number is closed on. For example, even numbers are closed on addition. In other words for any two even numbers that are added, the sum is an even number. Numbers are closed if something applies to all the numbers included within a set. The set above includes only even numbers.
How many prime numbers are even numbers?
There is only one even prime number: 2. All other even numbers have 2 as a factor, in addition to 1 and themselves, so they cannot be prime numbers.
Three addition facts that have sums that are odd numbers?
If you want to get an odd number as a result: * Add any even number with any odd number. * You can also add any three odd numbers, or two even number and an odd number.
Why does reversing prime numbers sometimes get a composite number?
Sometimes reversing prime numbers gets a composite number because if the number starts with a even number, when you switch it, it will become composite because all even numbers starting at two are composite.
What is closed and not-closed under addition?
The set of even numbers is closed under addition, the set of odd numbers is not.
Why is that there are no consecutive prime numbers?
2 and 3 are consecutive prime numbers; therefore, such a concept does exist, but those are the only two consecutive primes. The reason there are not any others: natural numbers alternate between odd and even numbers. When the number is even, then 2 is a factor. The number 2 is the only even prime number (it's only factors are 2 and 1). All other even numbers have factors, in addition to 2 & 1. So if a number is prime, and the number is not 2, then it is an odd number. The two numbers on either side of an odd number are even. So if the prime number is greater than 3, then the two numbers on either side of it will be even numbers, which are not primes.
