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1.2 – Order of Operations. Order of Operations 1.2 – Order of Operations.

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Presentation on theme: "1.2 – Order of Operations. Order of Operations 1.2 – Order of Operations."— Presentation transcript:

1 1.2 – Order of Operations

2 Order of Operations 1.2 – Order of Operations

3 Order of Operations Parentheses 1.2 – Order of Operations

4 Order of Operations Parentheses Exponents 1.2 – Order of Operations

5 Order of Operations Parentheses Exponents Multiplication 1.2 – Order of Operations

6 Order of Operations Parentheses Exponents Multiplication Division 1.2 – Order of Operations

7 Order of Operations Parentheses Exponents Multiplication Division Addition 1.2 – Order of Operations

8 Order of Operations Parentheses Exponents Multiplication Division Addition Subtraction 1.2 – Order of Operations

9 Order of Operations ParenthesesPlease Exponents Multiplication Division Addition Subtraction 1.2 – Order of Operations

10 Order of Operations ParenthesesPlease ExponentsExcuse Multiplication Division Addition Subtraction 1.2 – Order of Operations

11 Order of Operations ParenthesesPlease ExponentsExcuse MultiplicationMy Division Addition Subtraction 1.2 – Order of Operations

12 Order of Operations ParenthesesPlease ExponentsExcuse MultiplicationMy DivisionDear Addition Subtraction 1.2 – Order of Operations

13 Order of Operations ParenthesesPlease ExponentsExcuse MultiplicationMy DivisionDear AdditionAunt Subtraction 1.2 – Order of Operations

14 Order of Operations ParenthesesPlease ExponentsExcuse MultiplicationMy DivisionDear AdditionAunt SubtractionSally 1.2 – Order of Operations

15 Example 1

16 Find the value of [2(10 - 4) 2 + 3] ÷ 5.

17 Example 1 Find the value of [2(10 - 4) 2 + 3] ÷ 5. [2(10 - 4) 2 + 3] ÷ 5 =

18 Example 1 Find the value of [2(10 - 4) 2 + 3] ÷ 5. [2(10 - 4) 2 + 3] ÷ 5 = [2(6) 2 + 3] ÷ 5

19 Example 1 Find the value of [2(10 - 4) 2 + 3] ÷ 5. [2(10 - 4) 2 + 3] ÷ 5 = [2(6) 2 + 3] ÷ 5 [2(36) + 3] ÷ 5

20 Example 1 Find the value of [2(10 - 4) 2 + 3] ÷ 5. [2(10 - 4) 2 + 3] ÷ 5 = [2(6) 2 + 3] ÷ 5 [2(36) + 3] ÷ 5 [72 + 3] ÷ 5

21 Example 1 Find the value of [2(10 - 4) 2 + 3] ÷ 5. [2(10 - 4) 2 + 3] ÷ 5 = [2(6) 2 + 3] ÷ 5 [2(36) + 3] ÷ 5 [72 + 3] ÷ 5 75 ÷ 5

22 Example 1 Find the value of [2(10 - 4) 2 + 3] ÷ 5. [2(10 - 4) 2 + 3] ÷ 5 = [2(6) 2 + 3] ÷ 5 [2(36) + 3] ÷ 5 [72 + 3] ÷ 5 75 ÷ 5 15

23 Example 2

24 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5.

25 Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) =

26 Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) = 8 2 – 1.5( )

27 Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) = 8 2 – 1.5( ) 8 2 – 1.5( )

28 Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) = 8 2 – 1.5( ) 8 2 – 1.5( ) 8 2 – 1.5(9.5)

29 Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) = 8 2 – 1.5( ) 8 2 – 1.5( ) 8 2 – 1.5(9.5) 64 – 1.5(9.5)

30 Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) = 8 2 – 1.5( ) 8 2 – 1.5( ) 8 2 – 1.5(9.5) 64 – 1.5(9.5) 64 – 14.25

31 Example 2 Evaluate x 2 – y(x + y) if x = 8 and y = 1.5. x 2 – y(x + y) = 8 2 – 1.5( ) 8 2 – 1.5( ) 8 2 – 1.5(9.5) 64 – 1.5(9.5) 64 –

32 Example 3

33 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5

34 Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = c 2 – 5

35 Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = (-4)(-3) c 2 – 5

36 Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = (-4)(-3) c 2 – 5 (-3) 2 – 5

37 Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = (-4)(-3) c 2 – 5 (-3) 2 – 5 = 8 + 2(-4)(-3)

38 Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = (-4)(-3) c 2 – 5 (-3) 2 – 5 = 8 + 2(-4)(-3) 9 – 5

39 Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = (-4)(-3) c 2 – 5 (-3) 2 – 5 = 8 + 2(-4)(-3) 9 – 5 = – 5

40 Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = (-4)(-3) c 2 – 5 (-3) 2 – 5 = 8 + 2(-4)(-3) 9 – 5 = – 5 = 32 4

41 Example 3 Evaluate a 3 + 2bc if a = 2, b = -4, and c = -3. c 2 – 5 a 3 + 2bc = (-4)(-3) c 2 – 5 (-3) 2 – 5 = 8 + 2(-4)(-3) 9 – 5 = – 5 = 32 = 8 4

42 Example 4

43 Find the area of the following trapezoid. 16 in. 10 in. 52 in.

44 Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b 2 ) 10 in. 52 in.

45 Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b 2 ) 10 in. 52 in. A = ½h(b 1 + b 2 )

46 Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b 2 ) 10 in. = h 52 in. A = ½h(b 1 + b 2 )

47 Example 4 Find the area of the following trapezoid. 16 in. = b 1 A = ½h(b 1 + b 2 ) 10 in. = h 52 in. A = ½h(b 1 + b 2 )

48 Example 4 Find the area of the following trapezoid. 16 in. = b 1 A = ½h(b 1 + b 2 ) 10 in. = h 52 in. = b 2 A = ½h(b 1 + b 2 )

49 Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b 2 ) 10 in. 52 in. A = ½h(b 1 + b 2 ) = ½10( )

50 Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b 2 ) 10 in. 52 in. A = ½h(b 1 + b 2 ) = ½10( ) = ½10(68)

51 Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b 2 ) 10 in. 52 in. A = ½h(b 1 + b 2 ) = ½10( ) = ½10(68) = 5(68)

52 Example 4 Find the area of the following trapezoid. 16 in. A = ½h(b 1 + b2) 10 in. 52 in. A = ½h(b 1 + b 2 ) = ½10( ) = ½10(68) = 5(68) = 340


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