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`