Real Numbers

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Last updated 6:14 PM on 5/15/22
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18 Terms

1
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Natural numbers =
The number's starting from 1 to ∞
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Whole numbers =
The numbers in 0 to all Natural numbers
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Integers =
The natural numbers in which the negative numbers are also included with 0

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Rational numbers =
A number that can be presented in the form of p/q where q ≠ 0
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Terminating number =
those numbers that ends with a finite number.
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Non-Terminating number =
numbers that has infinite digits.
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Recurring number =
Recurring number is used when the terms have a pattern that is being repeated
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A prime number is?
which cannot be divided by any other than itself or 1 is a prime number
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Euclid's division lemma formula = ______________________________
dividend = divisor X quotient + remainder ,a = b x q + r 0 < r < b
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Coprime no's only have ______ as common factor
1
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Coprime is not necessarily _______number.
prime
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A positive number is ?
it is either prime or composite number
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prime number factors are ____________and ________

1 and number itself
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composite number factors are more factors than ________numbers
2
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______________ found LCM , HCF.
Carl Friedrich gauss
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Product of 2 numbers =
its LCM X HCF
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if p divides a^2, then p also divides ________
a
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if denominator of a rational number has its prime factors of the form 2^m or 5^n or [2^m X 5^n ] then ___________________
rational number has terminating decimal or else non-terminating, recurring decimal expansion.