A fraction is a rational number that can be converted into a decimal or vice versa
Rational numbers are numbers that have a definite end. 33% can be converted into the decimal 0.33. This has a definite end so it is a rational number.
All rational numbers including integers can be be expressed as fractions whereas irrational numbers can't be converted into fractions
All of them are terminating and so all can be converted to rational numbers.
I assume you mean that the sequence continues this way. No, it is not. To be rational, the same pattern - excatly the same sequence of digits - must repeat over and over, since any fraction (i.e., rational number) converted to decimal has this type of pattern.
Rational numbers are numbers that have a definite end. 33% can be converted into the decimal 0.33. This has a definite end so it is a rational number.
A fraction is a rational number that can be converted into a decimal or vice versa
Rational numbers are numbers that have a definite end. 33% can be converted into the decimal 0.33. This has a definite end so it is a rational number.
The line is usually taken to mean that the decimals under the line repeat. And yes, such a number is rational, since it can be converted into a fraction (with whole numerator and denominator).
As written, it is a terminating decimal, which can be converted to a quotient(fraction) . Hence it is rational. However, if 0.678667866678.... then it is recurring to infinity . , Since it will not convert to a quotient/fraction , then it is irrational.
All rational numbers including integers can be be expressed as fractions whereas irrational numbers can't be converted into fractions
33.6 is a rational number because it can be represented as the quotient of two integers. It's the .6 that gives this away, in this case, since it is rational as 6/10. So, 33.6 = 33 6/10. 33 6/10 is easily converted to 336/10, which is also a rational number.
All of them are terminating and so all can be converted to rational numbers.
I assume you mean that the sequence continues this way. No, it is not. To be rational, the same pattern - excatly the same sequence of digits - must repeat over and over, since any fraction (i.e., rational number) converted to decimal has this type of pattern.
'3' is RATIONAL. All numbers are RATIONAL except those were the decimal goes to infinity AND the decimal digits are NOT in any regular order. pi = 3.1419592.... is probably the most well known IRRATIONAL number. Also the Square Roots of Prime numbers. NB 3.333.... recurring to infinity is RATIONAL, because it can be converted to a RATIO/Fraction.
No. For example, pi is a real number, but it is irrational (it cannot be converted into an exact fraction).The reverse is true, however: all rational numbers are also real numbers.
A rational number has the form of one integer over another; this can be converted to decimal form by dividing the top number (numerator) by the bottom number (denominator). Example: 2/5 = 2 ÷ 5 = 0.4