either Irrational Numbers, integers, integers, rational numbers, or whole
numbers
3.14 has a finite number of digits. All numbers with a finite number of digits are rational. Pi has an infinite number of digits, AND the digits don't repeat in a regular pattern. (Numbers with repeating decimals are rational as well.)
When expressed as a decimal, a rational number will either be terminating (end with a finite number of digits) or repeating (have a repeating pattern of digits).
There are essentially three forms:Terminating decimals: 386 or 23.567,Recurring decimals: 36.572343434... (with 34 repeating),Non-terminating infinite decimals: these represent irrational numbers for which the digits after the decimal point go on for ever without falling into a repeating pattern.
Rational numbers can be classified into two main types: terminating decimals and repeating decimals. Terminating decimals are numbers that have a finite number of digits after the decimal point, while repeating decimals have one or more digits that repeat infinitely. Both types can be expressed as fractions, where the numerator is an integer and the denominator is a non-zero integer. Overall, rational numbers encompass all numbers that can be represented in this fractional form.
Some numbers cannot be written exactly and their decimals repeat infinitely. The best example is 1/3 written as a decimal. It is 0.33333 going on infinitely. Some have multiple digits that keep repeating.
yes, repeating decimals (those that have infinite - never ending - number of digits after the decimal point and these decimals show repeating pattern) are rational numbers, because they can be written as fractions.
3.14 has a finite number of digits. All numbers with a finite number of digits are rational. Pi has an infinite number of digits, AND the digits don't repeat in a regular pattern. (Numbers with repeating decimals are rational as well.)
When expressed as a decimal, a rational number will either be terminating (end with a finite number of digits) or repeating (have a repeating pattern of digits).
There are essentially three forms:Terminating decimals: 386 or 23.567,Recurring decimals: 36.572343434... (with 34 repeating),Non-terminating infinite decimals: these represent irrational numbers for which the digits after the decimal point go on for ever without falling into a repeating pattern.
Rational numbers can be classified into two main types: terminating decimals and repeating decimals. Terminating decimals are numbers that have a finite number of digits after the decimal point, while repeating decimals have one or more digits that repeat infinitely. Both types can be expressed as fractions, where the numerator is an integer and the denominator is a non-zero integer. Overall, rational numbers encompass all numbers that can be represented in this fractional form.
All decimals that terminate, or end with a repeating set of digits are rational numbers. eg 1.234, 1.222..., 1.232323..., 1.23444..., 1.2343434... are all rational numbers.
A decimal with a continuously repeating digits or group of digits
A repeating decimal is a rational number. Its value is(the repeating set of digits)/(as many 9s as there are digits above).
Some numbers cannot be written exactly and their decimals repeat infinitely. The best example is 1/3 written as a decimal. It is 0.33333 going on infinitely. Some have multiple digits that keep repeating.
Repeating decimals consist of a fixed string of digits which repeat infinitely in the decimal representation of a number. These may start anywhere after a finite number of digits.
That can refer to one of two types of decimals: terminatingand irrational.Terminating decimals don't repeat because they stop, whereas irrational decimals simply never repeat a distinct pattern of digits.
Irrational numbers.