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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