Yes, the product of 2 integers are always an integers.
ex. -2*3=-6
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.
Because a is rational, there exist integers m and n such that a=m/n. Because b is rational, there exist integers p and q such that b=p/q. Consider a+b. a+b=(m/n)+(p/q)=(mq/nq)+(pn/mq)=(mq+pn)/(nq). (mq+pn) is an integer because the product of two integers is an integer, and the sum of two integers is an integer. nq is an integer since the product of two integers is an integer. Because a+b equals the quotient of two integers, a+b is rational.
D3.
yes..always a perfect square A perfect square is the product of an integer by itself. If you multiply a perfect square x² by another perfect square y² you get x²y² = x·x·y·y = x·y·x·y = (x·y)² which is a perfect square. Note that the product of two integers will also be an integer so x·y must be an integer because if x² and y² are perfect squares x must be an integer and y must be an integer and x·y is therefore a product of 2 integers.
Choose any integer. Let's call it "n". Then subtract 8 - n, to get the other integer. (For the two integers to have different signs, one of the integers must be greater than 8, the other will be negative.)
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.
Another even integer.
-- 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.
Yes it can. Because an integer is any number without a decimal or fraction in it. Yes,
Yes, by definition, the sum of two integers is always an integer. Likewise, the product and difference of two integers is always an integer.
It is not possible to have the product of an integer. "product" is a binary operation and that means that it is an operation that combines two numbers to make the product - a third number. So you need two numbers as input, not just one.
The product of two negative integers is positive as for example -4 times -5 = 20
Yes, the product of two integers can be zero if at least one of the integers is zero. In multiplication, any number multiplied by zero results in zero. Therefore, if either integer in the product is zero, the overall product will also be zero.
Yes, the integers are 12 and 13.
The product of three negative integers is negative. This is because multiplying two negative integers results in a positive integer, and then multiplying that positive integer by another negative integer yields a negative result. For example, if the integers are -2, -3, and -4, their product is -24.
13 and 12 are the two integers that have the product of 156 and 12 is the smaller of the two.
That is correct.