nubtrek

Server Error

Server Not Reachable.

This may be due to your internet connection or the nubtrek server is offline.

Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue
> > >

Brackets Or Parenthesis in Precedence Order

In this page, handling of brackets or parenthesis in a numerical expression is explained. That is brackets have the highest precedence order and expressions inside brackets are evaluated first.



click on the content to continue..

Multiplication is higher in precedence to addition. In some expressions, addition has to be carried out before multiplication.

For example: Result of `2+4` has to be multiplied by `3`. This cannot be given as `2+4xx3` as the result of this expression does not equal the example.

To solve the problem, Parenthesis or brackets are used.

Parenthesis or brackets are higher in precedence.

Consider `4+6-:(3xx2)`.

`4+6-:(3xx2)`

The expression inside bracket is simplified first.
`=4+6-:6`

The division is higher in precedence over addition.
`=4+1`

Then addition is simplified.
`=5`.

Consider `(10-3-2)xx3`.

The expression inside bracket is simplified first.
`(10-3-2)xx3`

the two subtraction are in the same precedence level and so they are simplified in the left to right sequence.
`=(7-2)xx3`
`=(5)xx3`

Then, the multiplication is simplified.
`=15`

The symbols `(` or `)` are called brackets or parentheses.

Arithmetics Precedence : Precedence Order in arithmetics is BODMAS
It is also called as PEMDAS

The order is as follows
 •  Parentheses or Brackets
 •  Exponents or Order
 •  Multiplication and Division
 •  Addition and Subtraction

For a number of operations of same precedence level, the operations are carried out from left to right in sequence.

Solved Exercise Problem:

Simplify `(1+3-1)xx2+2-1`

  • `7`
  • `7`
  • `11`
  • `9`

The answer is "`7`"

Solved Exercise Problem:

What is the value of `7-2xx2`?

  • `7-2xx2``= 5xx2=10`
  • `7-2xx2``=7-4``=3`
  • `7-2xx2``=7-4``=3`

The answer is "`3`". Multiplication is higher in precedence than subtraction. So multiplication, `2xx2`, is carried out first.

Solved Exercise Problem:

What is the value of `3-1-1`?

  • `3-1-1``= 3-0`=3`
  • `3-1-1``=2-1``=1`
  • `3-1-1``=2-1``=1`

The answer is "`1`". The two subtractions are in the same precedence level and in such a case, the operations are carried out in the left to right order.

Simplification of Expressions : BODMAS

 •  B - Brackets

 •  O - Order (exponents, roots, logarithm)

 •  D - Division

 •  M - Multiplication

 •  A - Addition

 •  S - Subtraction

 •  And Left to Right sequence for multiple operations of same precedence.

PEMDAS

 •  P - Parentheses

 •  E - Exponents (roots and logarithm)

 •  M - Multiplication

 •  D - Division

 •  A - Addition

 •  S - Subtraction

 •  And Left to Right sequence for multiple operations of same precedence.

                            
switch to interactive version