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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
mathsWhole NumbersNumerical Expressions with Whole Numbers

Precedence of Arithmetic Operations

In this page, the precedence order of arithmetic operations in a numerical expression is explained. That is, multiplication and division has higher precedence to addition and subtraction.



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Simplify `2+4xx3`.

 •  It is wrong to do `2+4xx3` `=6 xx 3` `= 18`
      Addition `2+4` is not to be performed first.

 •  `2+4xx3` `=2 + 12` `=14`
      Multiplication `4xx3` is performed first and then addition is performed.

Multiplication is higher in precedence to addition. In `2+4xx3`, the multiplication is to be simplified ahead of addition.

The word "precedence" means: priority over another; order to be observed.

In a numerical expression, the precedence order is:
 •  division and multiplication (both in the same level same level of precedence)
 •  addition and subtraction (both in the same level of precedence)

This is abbreviated as BODMAS (Division, Multiplication, Addition, Subtraction) or PEMDAS (Multiplication, Division, Addition, Subtraction).

The letters B O or P E are explained later

Solved Exercise Problem:

Simplify `1+ 6xx3`.

  • `21`
  • `19`
  • `19`

The answer is "`19`". Multiplication is higher in precedence over addition. so

`1+6xx3`

`=1+18`

`=19`.

Solved Exercise Problem:

Simplify `9-6-:3`

  • `7`
  • `7`
  • `1`

The answer is "`7`". Division is higher in precedence over subtraction. So

`9-6-:3`

`=9-2`

`=7`

Solved Exercise Problem:

Simplify `3+ 6-:3`.

  • `3`
  • `5`
  • `5`

The answer is "`19`". Division is higher in precedence over addition. so

`3+6-:3`

`=3+2`

`=5`.

                            
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