maths-numbers?

Question

rational and irrational numbers

Answer 1

All rational numbers can be expressed as a ratio of two whole numbers. Another way of saying this is that all rational numbers can be expressed as a REPEATING decimal, such as 3.3333333....... and 2.000000000....... even if the repeating decimal is simply a string of zeros. Irrational numbers do not repeat, such as pi, which is the ratio of a circle to its diameter, which cannot be expressed as a ratio of two whole numbers, (although 22/7 comes pretty close.) I hope this helps.

Answer 2

They are 2 distinct sets. They are both subsets of real numbers. The decimal representation for irrational numbers goes on to infinity and does not repeat a pattern. The decimal for rational numbers can go on to infinity but will eventually repeat a pattern such as 1/7. 1/7 = .142857 with the .142857 repeating as a block to infinity.

Answer 3

a rational number is a number that can be expressed as a fraction or a ratio (rational) the numerator and denominator of the fraction are both integers. when the fraction is being divided out, it becomes a terminating or repeating decimal. example- 6 or 6/1 can also be written as 6.0

and irrational number cannot be expressed as a fraction. in decimal form, irrational numbers do not repeat in a pattern of terminate. they go on forever. example- pi= 3.141592654...

Answer 4

rational numbers are any numbers that can be expressed as the quotient of to numbers such as a/b. Thus 12 = 24/2 , 1/3, 1/10
25 are all rational numbers.

Irrational numbers can not be expressed as a fraction such as
a/b. Examples are pi, e, sqrt(2) sqrt(7) cuberoot(11), etc. Sucn numbers can be expressed to any degree of accuracy, but can never be expressed exactly.

Answer 5

rational can be expressed as a fraction. irrational (such as pi and square root of 2 ) cannot.