Question

How do you evaluate `1+ 1\times 2\div 3^ { 2} \times 5`?

Answer 1

`2 1/9`

Explanation:

The order of operations is:
Powers
Brackets
Division
Multiplication
Addition
subtraction
It is often best to bracket off and work from inside to outside.

`1 + 1 * 2 -:3^2 * 5`

`1 + (1 * (2 -:3^2) * 5)`

`1 + (1 * (2 -:9) * 5)`

`1 + (1 * (2/9) * 5)`

`1 + (10/9)`

`1 + 1 1/9`

`2 1/9`