Order of Operations Lesson- Brackets & Braces

Order of Operations Lesson- Brackets & Braces

PEMDAS

Please Excuse My Dear Aunt Sally

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Parentheses

Exponents

Multiply/Divide (left to right)

Add/Subtract (left to right)

Let's Review!

3 + (4 + 2 x 3) - 9

• Solve this on your own, then we will check it together.

• Correct Answer: 4

There are 3 different types of grouping symbols.

• Parentheses ( )

• Brackets [ ]

• Braces { }

If you have more than one type of grouping symbols in a problem, you need to solve them in the following order:

• Parentheses ( )

• Brackets [ ]

• Braces { }

Let's Give it a Try!

 $\left[14\ \times\ \left(9-7\right)\right]\ \div\ 4\ +\ 6$ 

• First, solve parentheses.

• Then, solve brackets.

• Let's look at this together!

• Correct answer: 13

Question #1

 $8\ +\ \left[\left(2\ \times\ 4\ +\ 7\right)\ \div5\right]\ \times\ 2$ 

• First, solve parentheses.

• Then, solve brackets.

• Let's look at this together!

• Correct answer: 14

Question #2

 $10\ -\ \left[\left(9\ +\ 4\right)\ -\left(21\ \div3\right)\right]\$ 

• First, solve parentheses.

• Then, solve brackets.

• Let's look at this together!

• Correct answer: 4

Question #3

 $2\ \times\ \left[3\ \times4\ +\left(11-7\right)\ \right]\ -8$ 

• First, solve parentheses.

• Then, solve brackets.

• Let's look at this together!

• Correct answer: 24

Question #4

 $\left[\left(56\ \div7\right)\ \times\ 6\right]\ -\ 8\ \times\ 2$ 

• First, solve parentheses.

• Then, solve brackets.

• Let's look at this together!

• Correct answer: 32

Question #5

 $3\ +\ \left[\ 2\ +\ 8\ \times\ \left(12-4\right)\right]\ -14$ 

• First, solve parentheses.

• Then, solve brackets.

• Let's look at this together!

• Correct answer: 55

Question #6

 $8\ \times5\ -\ 3\ \times\ \left[24\ \div12\ +\ \left(18\ -12\right)\right]$ 

• First, solve parentheses.

• Then, solve brackets.

• Let's look at this together!

• Correct answer: 16

Question #7

 $\left[\left(63\ \div7\right)\ +\ \left(3\ \times3\right)\right]\ +\ 3\ \times5$ 

• First, solve parentheses.

• Then, solve brackets.

• Let's look at this together!

• Correct answer: 33