Why would you think that?captain said:if two rational numbers added together is still rational then wouldn't an infinite sume of rational numbers that converge also be rational
captain said:if two rational numbers added together is still rational then wouldn't an infinite sume of rational numbers that converge also be rational
For an infinite series, the limit of the partial sums is the "actual sum".leon1127 said:the "limit" if the series is irrational, not the actual sum
infinite sum is just a simple notation of writing sum to n where n -> inf.
Rational numbers are numbers that can be expressed as a ratio of two integers, such as 4/5 or -3/4. They can be written in decimal form, but they will either terminate or have a repeating pattern.
To find the sum of two rational numbers, you must first find a common denominator. Then, add the numerators together and keep the common denominator. For example, if you wanted to find the sum of 1/3 and 2/5, you would first find the common denominator of 15. Then, the sum would be (1/3)(5/5) + (2/5)(3/3) = 5/15 + 6/15 = 11/15.
No, the sum of two rational numbers will always be a rational number. This is because the sum of two fractions can always be expressed as a fraction, as long as a common denominator is found.
The smallest possible sum of two rational numbers is 0. This can be achieved by adding any rational number to its additive inverse, or negative counterpart. For example, 1/2 + (-1/2) = 0.
Yes, there are patterns in the sums of rational numbers. For example, if you add a rational number to itself multiple times, the sum will follow a pattern. This is known as a repeating decimal. Additionally, the sum of two rational numbers with the same denominator will always have the same denominator.