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Is the set of odd numbers closed under subtraction?
No, the set of odd numbers is not closed under subtraction. For example, if you subtract one odd number from another odd number, such as 5 - 3, the result is 2, which is an even number and not part of the set of odd numbers. Therefore, the subtraction of odd numbers can yield results that fall outside the set.
Is the number 1 an odd or even number?
The number 1 is an odd number.
Why is when you subtract 1 from the square of an odd number it is even?
An odd number multiplied by another odd number will always equal an odd number. Therefore odd2 = odd x odd = odd number. eg 32 = 3 x 3 = 9. Take away 1 and you will have on even number.
Is 1 and odd or even number?
odd
Why if you multiply odd number with another number the result is always odd number?
Well, the question is why. The first number is "even" + 1. Multiply both of these by your odd number. Now the "even" times "odd" is even, because every "1" in the odd number becomes a "2". And then the remaining 1 times "odd" must be odd, which is an even +1. Add it all up and you get evens everywhere except that final "1". So the result is even + 1 which is odd. There is a quicker way if you know how to multiply bracketed terms: odd x odd = (even + 1)x(even +1)= even x even +even +even +1 = must be odd. ========================== You've just read a truly impressive answer to a question slightly different from the one that was asked. The part of the question that comes after "Why if ..." is a false statement. If you multiply odd number with another number, the result is odd number ONLY if the nother number is also odd number.
Is the set of odd numbers closed under subtraction?
No, the set of odd numbers is not closed under subtraction. For example, if you subtract one odd number from another odd number, such as 5 - 3, the result is 2, which is an even number and not part of the set of odd numbers. Therefore, the subtraction of odd numbers can yield results that fall outside the set.
What is the pattern for 1 4 -1 6 -3?
Alternate addition and subtraction of consecutive odd numbers. +3, -5, + 7, -9 The next number is 8.
Is the number 1 an odd or even number?
The number 1 is an odd number.
Why odd number minus a odd number even?
Every odd number leaves a remainder of 1 when divided by 2. Therefore, every odd number is of the form 2k +1 where k is some integer.Suppose 2m + 1 and 2n + 1 are two odd numbers.Then (2m + 1) - (2n + 1) = 2m + 1 - 2n - 1 = 2m - 2n = 2*(m - n)By the closure property of integers under addition (and subtraction), m and n being integers implies than (m - n) is an integer. Therefore 2*(m - n) is an even integer.
Is 1 an odd number or an even number?
Answer:1 is an odd number If you need to learn math go to the web site in the link below
Can the sum of 1 odd number and 1 even number be even?
No. The sum of 1 odd number and 1 even number must always be odd.
Is the number 1 and odd or even number?
odd
What is the 100 odd number?
199 The first odd number is 1 The second odd number is 3 The rth odd number is thus 2r - 1 Thus the 100th odd number is 2 x 100 - 1 = 199.
What is the 1000th odd number?
1 is the 1st odd number 3 is the 2nd odd number 5 is the 3rd odd number and so on 7 is the 4th odd number and so on if x is the 1000th odd number then x=2*1000-1=1999
What is smallest odd number?
The smallest odd number is 1.
What is the 102nd odd number?
The nth odd number is 2n - 1 So 102nd odd number is 2*102 - 1 = 204 - 1 = 203
If 1 is the first odd number what is the 400th odd number?
799 would be the 400th odd number even if '1' were not the first one.
