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This analysis is as follows:
Fractions in rational numbers include all finite decimal and infinite cyclic decimals.
Infinite non-cyclic decimal is not included.
Your question is "Do fractions in rational numbers include decimals?" ”
So the question can be understood as "Do fractions include decimals in rational numbers?" Including;
If the question is understood like this: "Do fractions in rational numbers include all decimals?" ": Not included.
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All decimal places are not included. Fractions include all integers, finite decimals, and infinitely cyclic decimals.
Infinite non-cyclic decimal numbers are irrational numbers, so they cannot be represented as fractions.
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For example, all rational numbers can be written as decimals or fractions, and decimals can be written as fractions.
But irrational numbers don't.
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Excluding infinite non-cyclic decimals, that's irrational numbers.
Fractions include all finite decimal and infinite loop decimals.
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Includes all finite and cyclic decimals, excluding infinite non-cyclic decimals.
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I'm a professional math teacher! Let me give you the answer.
Yes, but only finite decimals and infinite cyclic decimals, not infinite non-cyclic decimals, because both finite decimals and infinite cyclic decimals can be written as fractions.
Whereas, infinite non-cyclic decimal cannot be written as a fraction.
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Includes finite decimals (e.g., and infinitely cyclic decimals (e.g.
Excludes infinite non-cyclic decimal (e.g. pi =; The square root of the base e of the natural logarithm etc.).
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Fractions include all integers, finite decimals, and infinitely cyclic decimals.
Infinite non-cyclic decimal numbers are irrational numbers. (I just finished checking the math book, yes!)
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Including; I'm learning rational numbers right now, and the teacher said it was included.
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Includes all finite decimals and infinitely cyclic decimals.
Infinite non-cyclic decimal is not included.
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With the exception of pi, all decimal numbers are rational.
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Our teacher asked us to use decimals as fractions (I was in 7th grade).
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No, strictly speaking, a decimal is a decimal and a fraction is a fraction, but the two can be converted to each other, the fraction is converted to a decimal, divided by the numerator by the denominator, and the result is to be converted into a decimal. For example: 3 4=3 4=.
Decimals are converted into fractions, and according to the number of decimal places, the number after the decimal point is divided by 10, 100, 1000, 10000, etc., and the offer that can be reduced to a fraction is the simplest fraction such as.
Decimals are a special form of representation of real numbers. All fractions can be expressed as decimals, and the dot in the decimal is called the decimal point, which is the dividing point between the integer part of a decimal and the decimal part. A decimal with an integer part of zero is called a pure decimal, and a decimal with an integer part that is not zero is called a decimal with a decimal.
Fractions (from Latin, "broken") represent a part of a whole, or more generally, any part of an equal number.
The fraction is the ratio of an integer a to a positive integer b that is not equal to the integer.
When speaking in everyday English, fractions describe parts of a certain size, such as half, five-eighth, three-quarter. Numerators and denominators are also used for uncommon fractions, including compound fractions, complex fractions, and mixed numbers.
A fraction indicates that a number is a fraction of another number, or the ratio of one event to all events. The unit "1" is divided into several parts, and the number of such parts or parts is called a fraction. The numerator is on top and the denominator is on the bottom.
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Decimals are another representation of fractions, and they can be converted to each other. Rational numbers can be divided into two types, namely as decimals and integers.
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Decimals are not necessarily fractions.
Finite decimals and infinite cyclic decimals can be converted into fractions and are rational numbers; Such as454545???
Wireless non-circulating decimal numbers cannot be turned into fractions and are irrational numbers
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