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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

Sequence in Arithmetic Operations of Same Precedence

In this page, the sequence in arithmetic operations of same precedence in a numerical expression is explained. That is, multiple operations of same precedence are evaluation from left to right.



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Consider `20-4-3`.

It is wrong to do `20-4-3` `!=20-1` `=19`.

The correct order of simplification is `20-4-3` `= 16-3` `=13`

The two subtractions are in the same precedence level. This is to be handled from left to right sequence.

Consider `36-:6-:3`

It is wrong to simplify as `36-:6-:3` `!=36-:2` `=18`

The correct order of simplification is `36-:6-:3` `=6 -:3` `= 2`.

The two divisions are in same precedence level. This is to be handled from left to right sequence. .

Sequence in Arithmetic Operations of Same Precedence: To simplify multiple arithmetic operations of same precedence, the operations are carried out in left to right sequence.

Consider `20-4+3`.

It is wrong to do `20-4+3` `!=20-7` `=13`.

The correct order of simplification is `20-4+3` `= 16+3` `=19`

The subtraction and addition are in the same precedence level. This is to be handled from left to right sequence.

Consider `36-:6xx3`

It is wrong to simplify as `36-:6xx3` `!=36-:18` `=2`

The correct order of simplification is `36-:6xx3` `=6 xx3` `= 18`.

The division and multiplication are in same precedence level. This is to be handled from left to right sequence.

Solved Exercise Problem:

Simplify `4+6-:3xx2`

  • `8`
  • `8`
  • `5`

The answer is "`8`".

The division and multiplication are higher in precedence over addition. so `6-:3xx2` is to be simplified first.

In that, the division and multiplication are of same precedence, so it is simplified from left to right.

`4+6-:3xx2`

`=4+2xx2`

`=4+4`

`=8`.

Solved Exercise Problem:

Simplify `10-3-2xx3`.

  • `1`
  • `1`
  • `15`

The answer is "`1`". The multiplication is higher in precedence over subtraction and so `2xx3` is to be simplified first. Then the two subtraction are in the same precedence level and so they are simplified in the left to right sequence.

`10-3-2xx3`

`=10-3-6`

`=7-6`

`=1`

                            
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