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An irrational number is expressed as a non-repeating decimal that goes on forever. Write out the enough of the decimal expansion of each number to find the first digit where the two numbers disagree. Truncate the larger number at that digit, and the result is a rational number (terminating decimal) that is between the two.
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How do you find fractions between rational numbers?
All fractions are rational numbers because irrational numbers can't be expressed as fractions
Why does the sum of rational number and irrational numbers are always irrational?
Let your sum be a + b = c, where "a" is irrational, "b" is rational, and "c" may be either (that's what we want to find out). In this case, c - b = a. If we assume that c is rational, you would have: a rational number minus a rational number is an irrational number, which can't be true (both addition and subtraction are closed in the set of rational numbers). Therefore, we have a contradiction with the assumption that "c" (the sum in the original equation) is rational.
How can rational number be used to help locate irrational?
The idea is to look for a rational number that is close to the desired irrational number. You can find rational numbers that are as close as you want - for example, by calculating more decimal digits.
Find a rational number between two irrational numbers?
There are an infinite number of integers that meet this criteria.Ans 2Root 2 and root 3 are both irrational, but there is no integer between them.Did you mean to say 'an infinite number of pairs of integers" ?
Find two irrational numbers whose product is a rational number?
root 2 * root 2 = 2
