0
Still curious? Ask our experts.
Chat with our AI personalities
Judy
Beau
ReneAdd your answer:
Earn +20 pts
When does the product of 2 integers equal zero?
When one or both of the integers is/are zero.a*b=0 if a=0, b=0, or both a and b are equal to 0. In other words, if one or both integers are zero.
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.
What is the sun of four integers whose average is 15?
I assume you meant "sum". The answer is 60. 60=4 (integers) * 15 (average value of the integers). average of 4 integers = 15 --> (a + b + c + d)/4 = 15 --> (a + b + c + d) = 15 * 4 --> (a + b + c + d) = 60
Is addition of integers commutative?
Yes it is : a + b = b + a for all integers a and b. In fact , if an operation is called addition you can bet that it is commutative. It would be perverse to call an non-commutative operation addition.
Can you add two irrational numbers to get an rational number?
NoA rational number is a one that can be written as a fraction i.e a/b. where a and be are integers (whole numbers)Considera/b and c/d. Where a b c and d are integers and as such rational numbersa/b + c/d = (ad + bd)/cdad, bd and cd will all be integers and as such a/b + c/d will always be rational
