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In this Post we share **Decimal Number System, Number System in Hindi, Number System Conversion, Binary Number System.**

## Latest Handwritten Number System Class Notes PDF Download

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**SSC Mathematics Handwritten Notes PDF**

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**Natural Numbers** : Numbers which are used for counting the objects are called natural numbers. They are denoted by N.

N = { 1, 2, 3………………..}

All positive integers are natural numbers.

**Whole numbers** :- When ‘zero’ is included in the natural numbers, they are known as whole numbers.

They are denoted by W.

W= { 0, 1, 2, 3……………….}

**Integers** : All natural numbers, zero and negatives of natural numbers are called as integers.

They are denoted by I.

I = { ………………..,-3, -2, -1, 0, 1 , 2, 3………………}

**Rational numbers** : The numbers which can be expressed in the form of \frac{p}{q} where P and Q are integers and q\neq o are called rational numbers

They are called by Q.

### Number System Notes PDF

No.-1. **Natural Numbers** : Numbers which are used for counting the objects are called natural numbers. They are denoted by N.

N = { 1, 2, 3………………..}

All positive integers are natural numbers.

No.-2. **Whole numbers** :- When ‘zero’ is included in the natural numbers, they are known as whole numbers.

They are denoted by W.

W= { 0, 1, 2, 3……………….}

No.-3. **Integers** : All natural numbers, zero and negatives of natural numbers are called as integers.

They are denoted by I.

No.-4. **Prime number** : A prime number is a natural number greater than 1 and is divisible only by 1 and itself.

No.-5. **Composite Numbers** : A number, other than 1, which is not a prime number is called a composite number .

No.-6. **Co-prime numbers** : Two numbers are co-prime of their HCF is 1.

E.g. (2,3), (3,4) , (5,7), (3,13) etc.

No.-7. **Even numbers** : The number which is divisible by 2 is called even number.

E.g. – 2, 4, 6, 8…………….

No.-8. **Odd numbers** – The number which is not divisible by 2 is called odd number.

e.g.= 3, 5, 7, 9…………..

**Number System PDF**

**Natural Numbers**

No.-1. Natural numbers or counting numbers starting from 1,2,3,…. are the most familiar numbers.

No.-2. They are symbolically represented by N. Natural numbers together with 0 are called whole numbers.

No.-3. Sum of two natural numbers is a natural number. Also, product of two natural numbers is a natural number.

**Integers**

No.-1. Natural numbers are the subset of integers.

No.-2. Natural numbers without zero are called positive integers and when written with a negative sign are called as negative integers.

No.-3. The set of integers is represented by the symbol Z.

**Rational Numbers**

No.-1. A fraction with an integer numerator and a positive integer in the denominator.

No.-2. It is represented in the form of p / q where p and q are integers and q is not equal to zero

No.-3. Decimal numbers which have a repeating pattern after some point also fall under this category. Example: 0.083333…. = 1 / 12

No.-4. All integers are rational numbers

**Irrational Numbers**

No.-1. A number that cannot be written as fraction i.e p / q

No.-2. It is a never-ending number and does not repeat itself in the decimal form. Example: π = 3.14159…

No.-3. This was first discovered by the Pythagorean in Greece

**Real Numbers**

No.-1. The set of all the rational and irrational numbers are called real numbers

No.-2. Represented by the symbol R

**Prime Numbers**

No.-1. Any real number that is divisible by 1 and itself come under this category

No.-2. Example of prime numbers 1,2,3,5,7,11…

**Number System in Hindi**

No.-1. 5 years ago the average age of a family which includes father, mother and a son was 35 years. 3 years ago the average age of father and mother was 46 years. What is the present age (in years) of the son?

Options:

1) 20

2) 24

3) 26

4) 22

Correct Answer: 22

No.-2. The cost price of 60 articles is same as the selling price of x articles. If there is a profit of 20%, then what is the value of x?

Options:

1) 15

2) 30

3) 50

4) 80

Correct Answer: 50

No.-3. A person scores 45% of the total marks in the exam and still fails by 40 marks. The passing percentage of the exam is 55%. What is the maximum marks of the exam?

Options:

1) 300

2) 350

3) 400

4) 500

Correct Answer: 400

**Number System in Hindi**

No.-4. A man starts running from point P at 11:00 a.m. with a speed of 10 km/hr. He runs for 2 hours and then takes a 1 hour rest. He continues this till he is caught by another man who starts at 2:00 p.m. from point P and runs non-stop at a speed of 15 km/hr towards the first man. At what time (in p.m.) will the first man be caught?

Options:

1) 6:20

2) 4:40

3) 6:00

4) 5:30

Correct Answer: 4:40

No.-5. The difference of compound interest and simple interest for 3 years and for 2 years are in ratio 23 : 7 respectively. What is rate of interest per annum (in %)?

Options:

1) 200/7

2) 100/7

3) 300/7

4) 400/7

Correct Answer: 200/7

**Details of Number System PDF**

- Subject – Mathematics Notes
- Topic – Numbers System
- Format – PDF
- Type –Typewritten

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##### Handwritten Number System Class Notes

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