if divides both and , then it will also divide therefore
will divide thus
The last part comes from the fact that:
if gcd(x,y)=g, then .
As proof:
Since g|x and g|y, let x=kg, and y=jg, then we have so g|(mx+ny).
All positive integers are all greater than negative integers.
sum of positive integers will be a positive integer
A decimal can be a positive integer or a negative integer or neither of the above. For example: 26.0 is a positive integer. -52.0 is a negative integer. 26.2 is not an integer at all. 0.0 is an integer, but is neither positive nor negative.
No, a negative integer cannot be greater than a positive integer. By definition, negative integers are to the left of zero on the number line, while positive integers are to the right. Since all negative integers are less than zero, they are always less than any positive integer. Thus, negative integers are always smaller than positive integers.
No. 0 is a non-negative integer which is not positive.
All positive integers are all greater than negative integers.
* The quotient of two positive integers or two negative integers is positive. * The quotient of a positive integer and a negetive integer is negetive.
sum of positive integers will be a positive integer
No, if a negative integer is multiplied by a positive integer, the product is negative. However, if both of the integers are either positive or negative, the product is positive.
A decimal can be a positive integer or a negative integer or neither of the above. For example: 26.0 is a positive integer. -52.0 is a negative integer. 26.2 is not an integer at all. 0.0 is an integer, but is neither positive nor negative.
They are simply positive integers
Positive integers are greater than zero. Negative integers are less than zero.
No, a negative integer cannot be greater than a positive integer. By definition, negative integers are to the left of zero on the number line, while positive integers are to the right. Since all negative integers are less than zero, they are always less than any positive integer. Thus, negative integers are always smaller than positive integers.
-- The product is an integer. -- If the original two integers are both positive, then the product is positive. -- If the original two integers have different signs, then the product is negative.
No. 0 is a non-negative integer which is not positive.
No, integers can be positive or negative.
Another positive integer