Question

What is `(2+76-:1+9) + 4-3*9`?

Answer 1

`(2+76-:1+9)+4-3*9=64`

Explanation:

In solving `(2+76-:1+9)+4-3*9` according to PEMDAS, parentheses should be solved first, but within parentheses one should divide first and then do addition.

Hence `(2+76-:1+9)+4-3*9`

= `(2+76+9)+4-3*9` and now multiplication first

= `87+4-27`

= `64`

Observe that within parentheses, division / multiplication is performed before addition or subtraction.

Answer 2

`64`

Explanation:

In an expression which has different operations always count the number of TERMS first.

Each term is simplified to a single answer and these are added and subtracted in the last step

Within each term, the order is:
- brackets
- powers and roots
- multiply and divide

When you have the final value for each term, then:
- add and subtract

It is a good idea to move the additions to the front of the expression and do them first, and move the subtractions to the end.

`" "color(red)((2+76-:1+9))" "color(blue)(+4)" "color(green)(-3xx9)" "larr` there are `3` terms
`color(white)(xxx.xx)darr`
`= color(red)((2+76+9))" "color(blue)(+4)" "color(green)(-27)`

`= color(red)(87" "color(blue)(+4)" "color(green)(-27)`

`=91-27`

`=64`