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Lesson 5: More on order of operations

# Order of operations example: fractions and exponents

The order of operations is essential for accurately evaluating complex math expressions. By following the steps of parentheses, exponents, multiplication and division, and finally addition and subtraction, you can simplify expressions and find the correct answer. Mastering these steps ensures a strong foundation in mathematics. Created by Sal Khan.

## Want to join the conversation?

7+8-8(7x8-(6-2x4))
• PEMDAS says start with parentheses, so with imbedded parentheses, you have to start on the innermost parentheses which is 6-2*4. Multiply is first, so 2*4=8, then 6-8=-2. Ouside parentheses gives (7*8-(-2)) which gives 56+2=58. So you have 7+8-8(58)= 7+8 - 464 = 15-464=-449.
• can you use fractions with a exponent?!
• Yes you totally could.
• Why do we divide numbers with fractions when there is no division sign anywhere?
• there is one 1/2 is the same thing as 1 /2 "/" also means to divide
• Why is everyone typing some stuff that is not about math?
• Because
• why do we square everything(at 2.08 minutes in the video) please?
• Wait so.. the parenthesis mean to multiply the number next to it? So in this situation are the parenthesis multiplying by 1/14?
• Yes, it means multiplication, but you have to go through the whole process inside the parentheses before you multiply as the last step.