5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 1. 2.5³= 2. ( 1 4 )⁴ = 3. 0.6² = 4. 3⁵ =

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 1. 2.5³=

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 1. 2.5³= 15.625 2.5 x 2.5 125 500 6.25 6.25 x 2.5 3125 12500 15.625

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 2. ( 1 4 )⁴ =

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 2. ( 1 4 )⁴ = 1 256 1 4 x 1 4 x 1 4 x 1 4 = 1 256

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 3. 0.6² =

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 3. 0.6² = 0.36 .6 x .6 .36

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ =

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243 3 x 3 x 3 x 3 x 3 9 x 3 x 3 x 3 27 x 3 x 3 81 x 3 243

Flashcards

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

5 Minute Check Complete on the back of your homework. If you do not have homework, complete on a blank sheet of paper. What is the value? 4. 3⁵ = 243

Lesson 6.2 Numerical Expressions Tuesday, Jan 5 Lesson 6.2 Numerical Expressions

Numerical Expressions Objective: To find the value of expressions using the order of operations.

Numerical Expressions A numerical expression is a combination of numbers and operations. i.e 3 x 4 + 5 – 9 Remember that an expression does not have an equal sign.

Numerical Expressions The order of operations dictates which operation is to be done first. What does PEMDAS mean? (Please Excuse My Dear Aunt Sally)

Numerical Expressions P - Parentheses E - Exponents M - Multiply D - Divide A - Add S - Subtract

Numerical Expressions P - Parentheses ( simplify everything inside the parentheses) E - Exponents M - Multiply D - Divide A - Add S - Subtract

Numerical Expressions P - Parentheses ( simplify everything inside the parentheses) E - Exponents (Find the value of all the powers) M - Multiply D - Divide A - Add S - Subtract

Numerical Expressions P - Parentheses ( simplify everything inside the parentheses) E - Exponents (Find the value of all the powers) M - Multiply AND D – Divide (from left to right) A - Add S - Subtract

Numerical Expressions P - Parentheses ( simplify everything inside the parentheses) E - Exponents (Find the value of all the powers) M - Multiply AND D – Divide (from left to right) A – Add AND S – Subtract (from left to right)

Numerical Expressions In math sometimes a dot is used to represent multiplication. 4 x 3 = 4 · 3

Numerical Expressions Find the value of 10 - 2 + 8 What do we do first?

Numerical Expressions Find the value of 10 - 2 + 8 What do we do first? PEMDAS!

Numerical Expressions Find the value of 10 - 2 + 8 Any Parentheses?

Numerical Expressions Find the value of 10 - 2 + 8 Any Parentheses? No.

Numerical Expressions Find the value of 10 - 2 + 8 Any Exponents?

Numerical Expressions Find the value of 10 - 2 + 8 Any Exponents? No.

Numerical Expressions Find the value of 10 - 2 + 8 Any Multiplication or Division?

Numerical Expressions Find the value of 10 - 2 + 8 Any Multiplication or Division? No

Numerical Expressions Find the value of 10 - 2 + 8 Any Addition or Subtraction?

Numerical Expressions Find the value of 10 - 2 + 8 8 + 8 Any More Addition or Subtraction? Remember to solve from left to right.

Numerical Expressions Find the value of 10 - 2 + 8 8 + 8 16 Any Addition or Subtraction? Yes.

Numerical Expressions Find the value of 4 + 3 · 5 Any Parentheses?

Numerical Expressions Find the value of 4 + 3 · 5 Any Parentheses? No.

Numerical Expressions Find the value of 4 + 3 · 5 Any Exponents?

Numerical Expressions Find the value of 4 + 3 · 5 Any Exponents? No.

Numerical Expressions Find the value of 4 + 3 · 5 Any Multiplication or Division?

Numerical Expressions Find the value of 4 + 3 · 5 4 + 15 Any Multiplication or Division? Yes.

Numerical Expressions Find the value of 4 + 3 · 5 4 + 15 Any More Multiplication or Division?

Numerical Expressions Find the value of 4 + 3 · 5 4 + 15 Any More Multiplication or Division? No.

Numerical Expressions Find the value of 4 + 3 · 5 4 + 15 Any Addition or Subtraction?

Numerical Expressions Find the value of 4 + 3 · 5 4 + 15 19 Any Addition or Subtraction? Yes.

Numerical Expressions On your home work you are to show all work. Which means you are to perform one operation, then rewrite the expression. Then repeat. If you have two operations, you must have two additional lines below the original problem.

Numerical Expressions Find the value of 4 + 3 · 5 4 + 15 19 For example, the blue is the work to solve the expression. There are two operations, and two lines of work. The triangle is optional.

Numerical Expressions Find the value of 16 ÷ 2 · 4 Do this on your own.

Numerical Expressions Find the value of 16 ÷ 2 · 4 Any Parentheses?

Numerical Expressions Find the value of 16 ÷ 2 · 4 Any Parentheses? No.

Numerical Expressions Find the value of 16 ÷ 2 · 4 Any Exponents?

Numerical Expressions Find the value of 16 ÷ 2 · 4 Any Exponents? No.

Numerical Expressions Find the value of 16 ÷ 2 · 4 Any Multiplication or Division?

Numerical Expressions Find the value of 16 ÷ 2 · 4 8 · 4 Any More Multiplication or Division?

Numerical Expressions Find the value of 16 ÷ 2 · 4 8 · 4 32 Any Multiplication or Division? Yes. We can stop here, why?

Numerical Expressions Find the value of 16 ÷ 2 · 4 8 · 4 32 Any Multiplication or Division? Yes. We can stop here, why? Because there no more operations.

Numerical Expressions Find the value of 20 ÷ 4 + 17 · (9 – 6) Do this on your own.

Numerical Expressions Find the value of 20 ÷ 4 + 17 · (9 – 6) Any Parentheses?

Numerical Expressions Find the value of 20 ÷ 4 + 17 · (9 – 6) 20 ÷ 4 + 17 · 3 Any Parentheses? Yes.

Numerical Expressions Find the value of 20 ÷ 4 + 17 · (9 – 6) 20 ÷ 4 + 17 · 3 Any Exponents?

Numerical Expressions Find the value of 20 ÷ 4 + 17 · (9 – 6) 20 ÷ 4 + 17 · 3 Any Exponents? No.

Numerical Expressions Find the value of 20 ÷ 4 + 17 · (9 – 6) 20 ÷ 4 + 17 · 3 Any Multiplication or Division?

Numerical Expressions Find the value of 20 ÷ 4 + 17 · (9 – 6) 20 ÷ 4 + 17 · 3 5 + 17 · 3 Any More Multiplication or Division?

Numerical Expressions Find the value of 20 ÷ 4 + 17 · (9 – 6) 20 ÷ 4 + 17 · 3 5 + 17 · 3 5 + 51 Any More Multiplication or Division? Yes.

Numerical Expressions Find the value of 20 ÷ 4 + 17 · (9 – 6) 20 ÷ 4 + 17 · 3 5 + 17 · 3 5 + 51 Any Addition or Subtraction?

Numerical Expressions Find the value of 20 ÷ 4 + 17 · (9 – 6) 20 ÷ 4 + 17 · 3 5 + 17 · 3 5 + 51 56 Any Addition or Subtraction? Yes.

Numerical Expressions Find the value of 5 + (8² - 2) · 2 Do this on your own.

Numerical Expressions Find the value of 5 + (8² - 2) · 2 Because we have more than one operation inside the parentheses, we have to go through a separate order of operations for just inside the parentheses.

Numerical Expressions Find the value of 5 + (8² - 2) · 2 Any Parentheses inside the Parentheses?

Numerical Expressions Find the value of 5 + (8² - 2) · 2 Any Parentheses inside the Parentheses? no

Numerical Expressions Find the value of 5 + (8² - 2) · 2 Any Exponents inside the Parentheses?

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 Any Exponents inside the Parentheses? yes

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 Any Multiplication or Division inside the Parentheses?

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 Any Multiplication or Division inside the Parentheses? No

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 Any Addition or Subtraction inside the Parentheses?

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 5 + 62 · 2 Any Addition or Subtraction inside the Parentheses? Yes

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 5 + 62 · 2 Now that we have solved every operation inside the parenthesis, we can return to the original expression.

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 5 + 62 · 2 Any Parentheses?

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 5 + 62 · 2 Any Parentheses? No

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 5 + 62 · 2 Any Exponents?

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 5 + 62 · 2 Any Exponents? No

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 5 + 62 · 2 Any Multiplication or Division?

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 5 + 62 · 2 5 + 124 Any Multiplication or Division? Yes

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 5 + 62 · 2 5 + 124 Any Addition or Subtraction?

Numerical Expressions Find the value of 5 + (8² - 2) · 2 5 + (64 - 2) · 2 5 + 62 · 2 5 + 124 129 Any Addition or Subtraction? Yes

Numerical Expressions Write an expression for total cost of 5 lotions, 2 candles, and 4 lip balms. Find the total cost. Do this on your own.

Numerical Expressions Write an expression for total cost of 5 lotions, 2 candles, and 4 lip balms. Find the total cost. 5 · $5 + 2 · $7 + 4 · $2 $25 + 2 · $7 + 4 · $2 $25 + $14 + 4 · $2 $25 + $14 + $8 $39 + $8 $47

Numerical Expressions Tickets to a play cost $10 for members and $24 for non-members. Write an expression to find the total cost of 4 non-member tickets and 2 member tickets. Find the total cost. Do this on your own.

Numerical Expressions Tickets to a play cost $10 for members and $24 for non-members. Write an expression to find the total cost of 4 non-member tickets and 2 member tickets. Find the total cost. 2 · $10 + 4 · $24 $20 + $96 $116

Use the expression 34 – 12 ÷ 2 + 4 Place parentheses in the expression so that the value of the expression is 15.

Use the expression 34 – 12 ÷ 2 + 4 Place parentheses in the expression so that the value of the expression is 15. (34 – 12) ÷ 2 + 4

Use the expression 34 – 12 ÷ 2 + 4 Place parentheses in the expression so that the value of the expression is 32.

Use the expression 34 – 12 ÷ 2 + 4 Place parentheses in the expression so that the value of the expression is 32. 34 – 12 ÷ (2 + 4)

Numerical Expressions Agenda Notes Homework – Homework Practice 6.2 Show all work and circle all answers. Due Wednesday, Jan 6 Mid-Chapter 6 Quiz Friday, Jan 8