Mathematics
         
语言:中文    Language:English
Fraction and Decimal Interactions:
    Function: it can convert the entered fraction into a decimal, or convert the entered decimal into a fraction.
    The fraction line of the entered fraction is indicated by "/".
    When you enter an infinite loop decimal, the loop section of the infinite loop follows "|".
    Current location:Mathematical operation > History of fractional decimal interaction > Answer

    Overview: 5 questions will be solved this time.Among them
           ☆2 inequalities
           ☆1 equations
           ☆1 arithmetic calculations
           ☆1 convert the decimals to fractions

[ 1/5 Digital analysis ]
    Work: Convert decimal 0.2|09 to fractional form.
    Question type: Convert decimal to fraction
    Solution:
        0.2|09=
23
110

    *Note: Convert circular decimal to fraction.

[2/5 Formula]
    Work: Calculate the value of equation (5-1)/2 .
    Question type: Mathematical calculation
    Solution:
          (5-1)/2
        =4/2
        =2

    Answer:(5-1)/2=2
[ 3/5 Equation]
    Work: Find the solution of equation a^2 = -1 .
    Question type: Equation
    Solution:
    This equation has no real solution!
[ 4/5Inequality]
    Assignment:Find the solution set of inequality a^2 ≥-1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         a ^ 2 ≥ -1         (1)

    From inequality(1):
         a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    The final solution set is :

         a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

[ 5/5Inequality]
    Assignment:Find the solution set of inequality 1 ≥a^3 ≥-1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        1 ≥ a ^ 3         (1)
         a ^ 3 ≥ -1         (2)

    From inequality(1):
         a ≤ 1
    From inequality(2):
         a ≥ -1

    From inequalities (1) and (2)
         -1 ≤ a ≤ 1    (3)

    The final solution set is :

         -1 ≤ a ≤ 1



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