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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 "|".
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: 4 questions will be solved this time.Among them
☆1 inequalities
☆1 equations
☆1 arithmetic calculations
☆1 convert the decimals to fractions
[ 1/4 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.
[2/4 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
[ 3/4 Equation]
Work: Find the solution of equation a^2 = -1 .
Question type: Equation
Solution: This equation has no real solution!
[ 4/4Inequality]
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!