Rational Numbers

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If 21/11 gives 1.909090909090909090990909090909 how would it be expressed as an exact answer?

1.90- (repeating sign)

What is a rational number?

A number that can be written as the ratio of two integers.

Notes: What is a rational number?

A rational number can be written as the ratio of two integers.

What are some examples of rational numbers?

Fractions (1/2), whole numbers (7 7/1), terminating decimals (2.33) repeating decimals (.222 repeating) square root of a perfect square (V-25 = 5/1) Integers (1 -2)

Can a number be both irrational and rational?

It can only be rational or irrational so no.

Can a number not be rational or irrational?

No. Mathematics mandates numbers to either be rational or irrational.

What are some examples of irrational numbers?

Pi (3.14...) V-35 (imperfect squares)

Prove that the decimal number 5.52 is rational by finding its fractional form. (552/10 52/10 5 50/10 552/100

The answer is 552/100.

Is the square root of 7 rational irrational both rational and irrational or neither rational nor irrational?

The number is irrational.

Practice: Is the number 0.10101010101010... rational irrational both rational and irrational or neither rational nor irrational?

The number is rational.

Does the set of numbers- 8 8/9 154/ square root of 2 3.485 contain rational numbers irrational numbers both rational numbers and irrational numbers or neither rational nor irrational numbers?

The number set contains both irrational and rational numbers.

What are integers?

The positive and negative numbers on a number line.

Does the set of numbers- 172 12/24 square root of 64 8.86 contain rational numbers irrational numbers both rational and irrational numbers or neither rational nor irrational numbers?

The set of numbers is rational.

Repeating decimals are (always never sometimes) rational numbers.

The word is always.

Terminating decimals are ______ rational numbers.

The word is always.

Every integer is a (natural irrational rational whole) number.

The word is rational.


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