### Natural Numbers:

Numbers which are used for

counting purpose are called natural numbers.

Ex: 1, 2, 3, 4, …………….100, ……………….

### Whole Numbers:

Natural numbers including 0 are

called Whole Numbers. Ex: 0, 1, 2, 3, 4, ……………………..

### Integers:

Positive natural numbers, negative natural

numbers along with 0 are called integers.

Ex.: …………………, -4, -3, -2, -1, 0, 1, 2, 3, 4, ……………

### Rational Numbers:

Numbers which are in the form

of 𝑝𝑞

(q ≠ 0) where p and q are positive or negative

whole numbers are called rational numbers.

Ex: 12 , 34 , −75 , −

49

56 …

### Even numbers:

numbers which are divisible by 2, eg, 2, 4, 6, 8, …

### Odd numbers:

numbers which are not divisible by 2, eg; 1, 3, 5, 7 …

### Real numbers:

are made up of all possible rational and irrational numbers.

### integer:

An integer is a whole number.

### prime number:

A prime number is divisible only by itself and by one (1). 1 is not a prime number. It has only two factors. 1 and the number itself

### square number:

A square number is the result of multiplying a number by itself.

### cube number:

A cube number is the result of multiplying a number by itself three times.

### Standard Form:

The number a x 10n

is in standard form when

1≤ a < 10 and n is a positive or negative integer.

### Percentages:

Percent means per hundred.

To express one quantity as a percentage of another, first write the first quantity as a fraction of the second and then multiply by 100.

Profit = S.P. – C.P.

Loss = C.P. – S.P.

### Speed, Distance and Time:

Distance = speed x time

Time=Distance/Speed

Speed = Distance/Time

### Quadratic Equations:

Quadratic Equations:

An equation in which the highest power of the variable is 2 is called quadratic equation.

We can solve quadratic equation by method of,

a) Factorization

b) Using the quadratic formula

c) Completing the square

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