How do you find the value of #1-[30div[7+3(-4)]]#?
When evaluating expressions with
#color(blue)"mixed operations"#we have to follow a certain order.
Follow the procedure as set out in the acronym PEMDAS.
Since there are ' brackets within brackets' start by evaluating the ' inner' brackets and work ' out'.
Now we have.
#[7+(-12)]=[7-12]=-5larrcolor(red)" next inner bracket"#
#[30÷(-5)]=-6larrcolor(red)"final set of brackets"#
The expression is now.
#1-(-6)=1+6=7larrcolor(red)"the value of the expression"#
In any calculation involving different operations, the MOST important thing is to count the number of TERMS first. Each term is kept separate until the last line, and then they are added or subtracted.
Within each term:
- brackets are done first,
-then powers and roots,
-then multiply and divide.
Start with the innermost bracket, then work outwards: