THE NUMBER SYSTEM
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Numbers do not feel. Do not bleed or weep or hope. They do not know bravery or sacrifice. Love and allegiance. At the very apex of callousness, you will find only ones and zeros.
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This document discusses highest common factors (HCF) and lowest common multiples (LCM) of numbers. It defines multiples as numbers that are divisible by another number with no remainder. Common multiples contain each number a number of times. The lowest common multiple is the smallest number that is divisible by every number. To find the LCM, list the multiples of each number and find the lowest number common to all lists. Similarly, factors divide a number with no remainder, and the highest common factor is the largest factor common to all numbers. Examples are provided to demonstrate finding HCFs and LCMs.Recently uploaded (20)
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Rass MELAI : an Internet MELA Quiz Finals - El Dorado 2025
Rass MELAI : an Internet MELA Quiz Finals - El Dorado 2025Conquiztadors- the Quiz Society of Sri Venkateswara College
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Kaun TALHA quiz Prelims - El Dorado 2025
Kaun TALHA quiz Prelims - El Dorado 2025Conquiztadors- the Quiz Society of Sri Venkateswara College
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THE NUMBER SYSTEM
- 2. THE REAL NUMBER SYSTEM RATIONAL NUMBERS IRRATIONAL NUMBERS NATURAL NUMBERS WHOLE NUMBERS INTEGERS
- 3. NATURAL NUMBER The set of numbers from 1 to infinite is known as natural numbers. NaturaL numbers are denoted by N EX: 1 2 3 4 5 6.....
- 4. WHOLE NUMBERS The set of numbers starting from 0 to infinite is known as whole number Whole numbers are denoted by W EX: 0 1 2 3 4 5 6.....
- 5. INTEGERS The integers are the numbers including whole numbers and negative whole numbers which can be represented on a number line and extended upto infinity Integers are denoted by Z EX: -4 3 2 1 0 1 2 3 4 .
- 7. REAL NUMBERS ALL THE RATIONAL AND IRRATIONAL NUMBERS MAKE UP THE COLLECTION OF REAL NUMBERS EVERY NUMBER IS REPRESENTED BY UNIQUE REAL NUMBER. REAL NUMBER IS DENOTED BY R
- 8. RATIONAL NUMBERS In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number
- 9. IRRATIONAL NUMBERS AN IRRATIONAL IS A NUMBER THAT CAN BE EXPRESSED AS A FRACTION FOR AN INTEGERS AND A IRRATIONAL NUMBER HAVE DECIMAL EXPANSIONS THAT NEITHER TERMINATE NOR BECOME PERODIC=
- 11. ODD NUMBER An odd number IS AN INTEGER WHICH IS NOT A DIVISIBLE OF TWO. IF IT IS DIVISBLE BY TWO THE RESULT IS A FRACTION EX: 1 3 5......
- 12. EVEN NUMBER AN NUMBER IS AN INTEGER WHICH IS EVENLY DIVISIBLE BY 2 EX: 2 4 6........
- 14. PRIME NUMBERS A PRIME NUMBER IS A WHOLE NUMBER GREATER THAN 1, WHOSE ONLY TWO WHOLE-NUMBER FACTORS ARE 1 AND ITSELF. THE FIRST FEW PRIME NUMBERS ARE 2 3 5 7 11 17 19 23 ....
- 16. LEAST COMMON MULTIPLE (L.C.M) Least common multiple (LCM) The least common multiple (LCM) of 2 numbers is the smallest number that they both divide evenly into. One good way to find the least common multiple of 2 numbers is to multiply both numbers by 1,2,3,4,5... and then find the first multiple that appears in both lists.
- 17. HIGHEST COMMON FACTOR {H.C.F} HIGHEST COMMON FACTOR (H.C.F). The Highest Common Factor (H.C.F) of two (or more) numbers is the largest number that divides evenly into both numbers. In other words the H.C.F is the largest of all the common factors. The common factors or of 12 and 18 are 1, 2, 3 and 6.
- 18. THANK YOU :))) BY : SRUSHTI R SHETTY