is 3.46410161514 rational?
9 answers
No, 3.46410161514 is not a rational number. A rational number is a number that can be expressed as a fraction where both the numerator and denominator are integers.
is 3.31662479036 rational?
No, 3.31662479036 is not a rational number. It is an irrational number because it cannot be expressed as a fraction with integers for both the numerator and the denominator.
is pi rational?
No, pi (π) is not rational. Pi is an irrational number, which means it cannot be expressed as a fraction with integers for both the numerator and the denominator. Instead, it is a non-repeating, non-terminating decimal number.
is 0.424242424 rational?
Yes, 0.424242424 is a rational number. It can be expressed as a fraction, specifically 14/33, where both the numerator and denominator are integers.
why is it rational?
Apologies for the confusion in my previous response. I made an error in my explanation.
0.424242424... is a repeating decimal, which means it can be expressed as a fraction. To convert this repeating decimal into a fraction, we need to assign a variable (let's call it x) to the repeating part (0.42) and solve for x.
x = 0.424242...
Next, we multiply both sides of the equation by 100 to eliminate the decimal point:
100x = 42.424242...
Now, by subtracting the original equation from the multiplied equation, we can eliminate the repeating part:
100x - x = 42.424242... - 0.424242...
99x = 42
From this, we can solve for x:
x = 42/99
Since both the numerator and denominator are integers (which are 14 and 33 when simplified), 0.424242424... can be expressed as the rational number 14/33.
0.424242424... is a repeating decimal, which means it can be expressed as a fraction. To convert this repeating decimal into a fraction, we need to assign a variable (let's call it x) to the repeating part (0.42) and solve for x.
x = 0.424242...
Next, we multiply both sides of the equation by 100 to eliminate the decimal point:
100x = 42.424242...
Now, by subtracting the original equation from the multiplied equation, we can eliminate the repeating part:
100x - x = 42.424242... - 0.424242...
99x = 42
From this, we can solve for x:
x = 42/99
Since both the numerator and denominator are integers (which are 14 and 33 when simplified), 0.424242424... can be expressed as the rational number 14/33.
1 answer