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Why can't 3 odd numbers equal 50?
3 odd numbers can't be equal to 50 because: odd number + odd number = even number even number + odd number = odd number thus, adding 3 odd numbers will always give a sum which is an odd number too even number.
Is the density property true for odd numbers?
The density property does not hold for odd numbers in the same way it does for the set of all integers or real numbers. While there are infinitely many odd numbers, they are not densely packed within the integers; there are gaps between them (specifically, every even integer separates two odd integers). Thus, between any two odd numbers, there are even integers, indicating that odd numbers do not form a dense subset of the integers.
What is the square of an odd numbers?
The square of an odd number is always odd. This is because when you multiply an odd number by itself, the result retains the property of being odd. For example, squaring the odd number 3 gives 9, and squaring 5 gives 25, both of which are odd numbers. Thus, the pattern holds true for all odd integers.
Is there a rule that helps you figure out how many odd numbers can make up a Pythagorean triple?
Yes. The square of an odd number is odd. So, if a, b and c are odd then a2, b2 and c2 are also all odd. But the sum of two odd numbers must be even. So for these to be Pythagorean, all three squares cannot be odd. Thus there are no odd triplets.
What is the conjecture of the product of two odd numbers?
The conjecture about the product of two odd numbers is that the product will always be odd. This is because an odd number can be expressed in the form (2n + 1) (where (n) is an integer), and when two such expressions are multiplied, the resulting product simplifies to (4mn + 2m + 2n + 1), which is also of the form (2k + 1), confirming it is odd. Thus, the product of any two odd numbers is always odd.
What 5 odd numbers add up to 30?
35
Can you find 3 odd numbers that equals to fifty?
No. An odd plus an odd is even, and an even plus an odd is odd. Thus, you will always end up with an odd number if you add only three odd numbers together, and 50 is even.
How many odd numbers between 5 and 8?
Odd numbers are those divided by two with remainder. Thus, between 5 and 8 there is be only one odd number 7.
Why can't 3 odd numbers equal 50?
3 odd numbers can't be equal to 50 because: odd number + odd number = even number even number + odd number = odd number thus, adding 3 odd numbers will always give a sum which is an odd number too even number.
What group of numbers even or odd contain more prime numbers?
All even numbers except 2 are divisible and thus not prime. There is no such number for odd numbers, and there is in fact just one even prime and infinitely many odd primes.
Is a prime number always an odd number?
Except for 2 all other prime numbers are odd. Otherwise, they would be divisible by 2 (and thus not a prime number). This does NOT mean that all odd numbers are prime, but that all prime numbers (aside from 2) are odd.
What pair of numbers have a odd product 8 7 5 4?
The only way to get an odd product when multiplying two whole numbers is when both of them are odd. Thus, in your example, the only way is by choosing the odd numbers 7 and 5, whose product is 35.
Is the density property true for odd numbers?
The density property does not hold for odd numbers in the same way it does for the set of all integers or real numbers. While there are infinitely many odd numbers, they are not densely packed within the integers; there are gaps between them (specifically, every even integer separates two odd integers). Thus, between any two odd numbers, there are even integers, indicating that odd numbers do not form a dense subset of the integers.
What is the square of an odd numbers?
The square of an odd number is always odd. This is because when you multiply an odd number by itself, the result retains the property of being odd. For example, squaring the odd number 3 gives 9, and squaring 5 gives 25, both of which are odd numbers. Thus, the pattern holds true for all odd integers.
Can 4 uneven numbers added together equal 15?
19
Is there a rule that helps you figure out how many odd numbers can make up a Pythagorean triple?
Yes. The square of an odd number is odd. So, if a, b and c are odd then a2, b2 and c2 are also all odd. But the sum of two odd numbers must be even. So for these to be Pythagorean, all three squares cannot be odd. Thus there are no odd triplets.
What 2 prime numbers equal 469?
Other than the number 2, all other prime numbers are odd. As 469 is odd then it must be formed by the addition of an even number (2) and an odd number (467). The two prime numbers are thus 2 and 467.
