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Suppose m and n are integers. Then 2m + 1 and 2n +1 are odd integers.(2m + 1)*(2n + 1) = 4mn + 2m + 2n + 1 = 2*(2mn + m + n) + 1
Since m and n are integers, the closure of the set of integers under multiplication and addition implies that 2mn + m + n is an integer - say k.
Then the product is 2k + 1 where k is an integer. That is, the product is an odd number.
What else can I help you with?
Is an odd number times an odd number always an odd answer?
Yes, it is.
What is the product of and even number and an odd number?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even times odd is odd.
The product of odd numbers is always even?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Odd times odd is always odd.
Is 7110 a odd number?
In the arts of mathematics, any whole number which is not a multiple of 2 is called as an ODD NUMBER.Example : 4 is not an odd number, because 4 is 2 times 2 , similarly 8 is 4 times 2 , such multiples of 2 are called even numbers.Your Number : 7110 is 3555 times 2, so it is not an odd number and hence an even number.
Why is the product of two odd numbers odd?
Let me show this to you by an example : Suppose we wish to multiply 3 and 7. Product or Multiplication by any device is actually carried by the process of addition of 3 seven times, i.e. 3+3+3+3+3+3+3 = 21. Because the two numbers are odd, the result is always odd. To Summarize, addition of an odd number(i.e. 3) to itself an odd number of times(i.e. 7) always results in an odd number. The product of an even and an odd number always results in an even number because addition of even number any number of times is always even and an odd number added to itself an even number of times also results in an even number. For ex. 7*2 = 14, here 7(odd number) is added 2(even number) times, i.e. 7+7=14 which is even.
Is an odd number times an eveen number always even?
Yes. Odd times odd is odd. Odd times even is even. Even times even is even.
Is an odd number times an odd number always an odd answer?
Yes, it is.
What is odd x odd?
An odd number times an odd number is an odd number no matter which 2 odds you multiply.
Is a odd number times a even number a odd number?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Odd times even is even.
Why does five have even and odd multiples?
That happens because 5 is an odd number. An odd number times an odd number will give you an odd product; an odd number times an even number will give you an even product. The same happens for the multiples of any other odd number.
When you times an odd by an even do you always get an odd number?
No. In fact, you NEVER get an odd number.
Is 46 an odd number?
no, an odd number is a number that is not in the 2 times table
The Product of an odd number and an even number is?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Odd times even is odd.
What is the product of and even number and an odd number?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even times odd is odd.
What times table has only odd answers?
sorry there is no times table that all have odd number.
What is true about the product of an odd and an even number?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Odd times even will be odd.
What do you get when you multiply an odd number an a even number?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Odd times even is even.
