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The number 3.456 repeating (often written as (3.456\overline{456})) is a rational number because it can be expressed as a fraction. Rational numbers are defined as numbers that can be written in the form ( \frac{a}{b} ), where ( a ) and ( b ) are integers and ( b \neq 0 ). Since 3.456 repeating has a repeating decimal pattern, it fits this definition.
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Is repeating decimals irrational?
No, they are rational.
Is 3.12233344445555 rational or irrational?
3.12233344445555(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Is 2.2422422242222422222 rational or irrational?
2.2422422242222422222(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Is -155.2333333333333 rational or irrational?
-155.2333333333333(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Is 5.87 Repeating irrational?
No, 5.87 repeating (written as 5.877777...) is not an irrational number; it is a rational number. A rational number can be expressed as the ratio of two integers, and since 5.87 repeating can be represented as the fraction 53/9, it qualifies as rational. In contrast, irrational numbers cannot be expressed as simple fractions.
Is a repeating decimal rational or irrational?
A repeating decimal is rational.
Is 9.3 repeating rational or irrational?
it is irrational
Is 0.12 repeating rational or irrational?
rational
Is 0.7 repeating rational or irrational?
yes
Is .3333 repeating a rational or irrational number?
Rational
Is repeating decimals irrational?
No, they are rational.
Is 625.49 repeating an irrational?
No, it is rational.
Is 5.75 repeating a rational number or irrational?
It is a rational number.
Is 1.121221222122221... rational or irrational?
1.121212121212...is rational. It is a repeating decimal and it is rational.
Is 4.15 a repeating rational number?
A repeating rational number is an irrational number. An irrational number is an number that has no definite end. 4.15 has a definite end and is therefore a rational number.
Is 0.1121231234 rational or irrational?
0.1121231234(not repeating) is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Is 0.151515 a rational or an irrational?
As given as ' 0.151515 . it is a terminating decimal and can be converted to a fraction/ratio Hence 0.151515/ 1.000000 = 0151515/1000000 = 151515/1000000 = 30303/200000 is the fraction. However, if you mean 0.151515 recurring to infinity, it is also rational. It should be written as ' 0.151515.... ' Note the three or more dots after the last digit. To convert to a ratio/quotient/fraction Let P = 0.151515.... 100P = 15.151515.... Subtract 99P = 15 Note the recurring decimals subtract to zero. P - 15/99 Reduce by '3' P = 5/33 The ratio/fraction. NB When reading decimal numbers. If it recurs to infinity, AND the decimal digits are in a regular order , as in this case at '151515' , then it is NOT irrational. e.g. 0.123123123.... Is rational or 0.1234512345..... is rational etc., because the decimal digits are in a regular order, and can be converted to a ratio/fraction/quotient.
