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The product of any two integers is 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.
Prove that if a and b are rational numbers then a plus b is a rational number?
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.
The product of three positive integers is 42 The sum of two of these integers is 9 the third integer is A1 B7 C6 D3 or E2?
D3.
Is the product of two perfect squares sometimes a perfect square?
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.
The sum of two integers with different sings is 8?
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.)
The product of any two integers is 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.
What is the product of any two even integers?
Another even integer.
What can you say about the product of an integer and a positive 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.
Can the product of any two integers be an integer?
Yes it can. Because an integer is any number without a decimal or fraction in it. Yes,
Is the sum of integers always an integer?
Yes, by definition, the sum of two integers is always an integer. Likewise, the product and difference of two integers is always an integer.
Is the product of an integer is 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.
What is the product of two negative integers?
The product of two negative integers is positive as for example -4 times -5 = 20
The product of two consecutive integers is 156?
Yes, the integers are 12 and 13.
Two consecutive positive integers have a product of 156 find the smaller integer?
13 and 12 are the two integers that have the product of 156 and 12 is the smaller of the two.
When two or more integers are multiplied is each integer a factor of the product?
That is correct.
Are the sum of two negative integers positive?
No. Two negative integers added together will never equal a positive integer. It is the product of two negative integers that is positive.
Why sum of two integers is an integer?
because an integer is a whole number. So the product must be a whole number.
