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-- Any decimal that ends is a rational number.

-- Any decimal that never ends may or may not be a rational number.

-- The decimal representation of an irrational number never ends.

Q: How can you relate decimals with rationals?

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There are an infinite number of subsets: All rationals other than 1 All rationals other than 2, etc All rationals other than 1.1 All rationals other than 2.1, etc, etc. All integers

yes

All rationals are real, so everything that is true of the reals is also true of the rationals, and vice versa.

Venlo Mac Van

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YES

Yes it is. Repeating decimals are all repeating rationals.

multiply the decimal by 100

Yes, it is a repeating decimal. Terminating and repeating decimals are rationals. Rational numbers can also be expressed as a fraction. 0.313131 is a repeating decimal.

There are an infinite number of subsets: All rationals other than 1 All rationals other than 2, etc All rationals other than 1.1 All rationals other than 2.1, etc, etc. All integers

yes

We use Q for Rationals... which is repreentative of Quocentia (Quotient), since rationals are RATIOs or fractions.

It could be the set denoted by Q- (the non-positive rationals) or Q+ (the non-negative rationals).

what are irrational and radicals and rationals

All rationals are real, so everything that is true of the reals is also true of the rationals, and vice versa.

The number of rationals is Aleph-null.

Venlo Mac Van