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how do i evaluate expressions

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1 Answer

Follow the order of Operations:
Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

(5+4) *7. Evaluate within the parentheses first (5+4) = 9   then multiply by 7 to get 9 * 7 = 63

4 + 6 * 3 . Multiply 6*3 first, then add 4

(3+5) * 5 + 1 - Evaluate within the parentheses first, then multiply by 5, then add 1

4[30 - (10 - 2) * 3] : Start with your innermost parentheses (10 - 2) and evaluate. Multiply this result by 3. Then subtract from 30. Now that everything in the brackets is done, multiply by 4. 

[8*2 - (3+9)] + [8 - 2*3]
Start with inner parens first, then rewrite:
[8*2 - 12] + [8 - 2*3]

Now multiply within the parens:
[16 - 12] + [8 - 6]

Subtract within the brackets:
[4] + [2]

Remove the brackets and add to get a result of 6