Real Numbers, Assignments of Number Theory

Real Number: any number that can be represented on a number line. Rational Numbers: The Quotient of any two integers (Any number that can be written as a ...

Typology: Assignments

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Real Numbers
Real Number: any number that can be represented on a number line.
Rational Numbers: The Quotient of any two integers (Any number that can be written as a fraction)
Irrational Numbers: Any number which is not a rational number (Non-ending, non-repeating decimals)
Integers: ๎˜โ€ฆ ๎˜ƒ 3,๎˜ƒ2, ๎˜ƒ1,0,1,2,3, โ€ฆ๎˜‰
Whole Numbers: ๎˜0,1,2,3,4,โ€ฆ๎˜‰
Natural Numbers: ๎˜1,2,3,4,โ€ฆ๎˜‰ (Counting Numbers)
Example: Given the set of numbers ๎˜‹๎˜ƒ6,๎˜ƒ0.5,4
๎˜
๎˜
,๎˜ƒ96,โˆš3,0, 9, ๎˜ƒ
๎˜“
๎˜”
,๎˜ƒ2.9,โˆš7,๎˜ƒโˆš5๎˜–
โ€ข Natural Numbers: 9
โ€ข Whole Numbers: 0, 9
โ€ข Integers: -6, -96, 0, 9
โ€ข Rational Numbers: ๎˜ƒ6,๎˜ƒ0.5,4
๎˜
๎˜
,๎˜ƒ96,0,9, ๎˜ƒ
๎˜“
๎˜”
,๎˜ƒ2.9
โ€ข Irrational Numbers: โˆš3,โˆš7,๎˜ƒโˆš5
โ€ข Real Numbers: All numbers in the set.
Real Numbers
Rational Numbers
Irrational Numbers
Integer
s
Whole Numbers
Natural Numbers
Real Numbers
Rational Numbers
Irrational Numbers
Integer
s
Non-integer Rational Numbers
Whole Numbers
Zero
Natural Numbers
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Real Numbers

Real Number: any number that can be represented on a number line.

Rational Numbers: The Quotient of any two integers (Any number that can be written as a fraction) Irrational Numbers: Any number which is not a rational number (Non-ending, non-repeating decimals) Integers: ไ™จโ€ฆ ใŽ˜ 3, ใŽ˜2, ใŽ˜1,0,1,2,3, โ€ฆ ไ™ฉ Whole Numbers: ไ™จ0,1,2,3,4, โ€ฆ ไ™ฉ Natural Numbers: ไ™จ1,2,3,4, โ€ฆ ไ™ฉ^ (Counting Numbers)

Example: Given the set of numbers ไ™ถใŽ˜6, ใŽ˜0.5, 4 โกฉโกฐ , ใŽ˜96, โˆš3, 0, 9, ใŽ˜ โกฒโกต , ใŽ˜2.9, โˆš7, ใŽ˜โˆš5ไ™ท

  • Natural Numbers: 9
  • Whole Numbers: 0, 9
  • Integers: -6, -96, 0, 9
  • Rational Numbers: ใŽ˜6, ใŽ˜0.5, 4 โกฉโกฐ , ใŽ˜96, 0, 9, ใŽ˜ โกฒโกต , ใŽ˜2.
  • Irrational Numbers: (^) โˆš3, โˆš7, ใŽ˜โˆš
  • Real Numbers: All numbers in the set.

Real Numbers Irrational Numbers Rational Numbers Integer s Whole Numbers Natural Numbers

Real Numbers

Rational Numbers Irrational Numbers

Integer s

Non-integer Rational Numbers

Negative Integers Whole Numbers

Zero Natural Numbers

Number Natural Whole Integer Rational Irrational Real

-7 โˆš โˆš โˆš

โˆš 5 โˆš^ โˆš

23. 61 ใคใคใคใค^ โˆš^ โˆš

ใŽ˜โˆš 3 โˆš^ โˆš

`โˆš 36 โˆš^ โˆš^ โˆš^ โˆš^ โˆš

ใŽ˜ 2. 034 ใค^ โˆš โˆš