BODMAS and types of number
BODMAS Rule
- BODMAS stands for Brackets, Orders (i.e., Powers and Square Roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
- This rule dictates the order in which operations should be carried out to solve an expression.
- Brackets always come first in this hierarchy. Compute everything inside brackets first.
- Orders or indices come next: any calculations involving powers or square roots are done at this stage.
- Division and Multiplication come next and are equal in the hierarchy. These operations are performed from left to right.
- Finally, Addition and Subtraction are also equal in hierarchy. These operations are performed from left to right.
Types of Number
Prime Numbers
- A prime number is any number that has only two distinct natural number divisors: 1 and itself.
- Examples are 2, 3, 5, 7, 11, 13. Note, 1 is not a prime number.
Composite Numbers
- A composite number is any number that is greater than one and is not a prime number.
- In other words, a composite number has more than two distinct natural number divisors.
- Examples include 4, 6, 8, 9, 10.
Rational Numbers
- A rational number can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
- Examples are -7, 0, 1/2, -4/9.
Irrational Numbers
- An irrational number cannot be expressed as a fraction or quotient of two integers. Their decimal expansion is non-repeating and non-terminating.
- Notable examples include the square root of 2 and Ο.
Real Numbers
- Real numbers include all the counting numbers, fractions, terminating and recurring decimals, and irrational numbers.
- In other words, if a number is either rational or irrational, it is a real number.
Square Numbers and Cube Numbers
- A square number is the result when a number has been multiplied by itself, while a cube number is a number multiplied by itself twice.
- For instance, 4 (2x2) and 9 (3x3) are examples of square numbers, while 8 (2x2x2) and 27 (3x3x3) are examples of cube numbers