   # Números Reales en inglés

En esta entrada vamos a tratar los números reales y los intervalos en inglés.

## Real Numbers

### Natural Numbers:

ℕ={1,2 ,3, 4,5, 6,…}

Natural numbers can be used for counting

### Integers

ℤ={… ,−3,−2,−1,0,1,2,3 ,…}
The set of integers is formed by the natural numbers including zero and the negatives, the opposites of the natural numbers.

### Rational Numbers:

ℚ={a/b, where a, b∈ℤ , b≠0}
Rational numbers are the fractions. All number that can be written as a fraction is a rational number.

### Irrational Numbers

ℝ-ℚ. Irrational numbers have an infinite number of digits to the right of the decimal point, without repetition.

Examples: π; ; 1.2432568456…

### Real Numbers

ℝ=ℚ∪(ℝ-ℚ)
The real numbers include rational numbers and irrational numbers.

## Intervals

A real interval is a subset of real numbers that corresponds to the points of a segment or a half-line on the real line.

 INTERVAL NOTATION SET NOTATION GEOMETRIC PICTURE (a,b) {x∈ℝ:a

1. Classify the following numbers into the corresponding set:
 3/2 Natural  Numbers ℕ Integers  ℤ Rational Numbers ℚ Irrational Numbers  ℝ-ℚ Real Numbers ℝ

2.  Calculate the diagonal of a square whose side is 1 cm long. 3. Which of the following numbers are rational?

a) 1,434343…        b) 1,432432243222…   c) 1,4232323…
d) 1,22222…          e) 1,1254326784…         f) 0,12

4. Complete the table

 INTERVAL NOTATION SET NOTATION GEOMETRIC PICTURE {x∈ℝ:-2

5.  Write as intervals and represent on the real line the following set of numbers:
a) Greatest than -3 and less than 3
b) Greatest or equal than 2.
c) Less than 2.
d) Less or equal than -1.
e) Greatest than -1.
f) Greatest or equal than -2 and less than 3.

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