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Earn +20 ptsQ: Is Sum of two rational numbers Can never be an integer?
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What is the sum of the rational numbers?
The sum of any finite set of rational numbers is a rational number.
When adding two rational numbers with different signs the sum will be zero Is this aways sometimes or never true?
sometimes true (when the rational numbers are the same)
How do you know that the sum of (-2 34) and 59 rational?
Because both of those numbers are rational. The sum of any two rational numbers is rational.
Sum of rational numbers 0f class 8?
find the rational between1and3
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.
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