ORDER OF OPERATIONS 1. Multiplication & Division 2. Addition & Subtraction + - ÷

1. Multiplication & Division Solve in the order they appear from left to right. 2. Addition & Subtraction Solve in the order they appear from left to right.

1. Multiplication & Division Solve in the order they appear from left to right. 2. Addition & Subtraction Solve in the order they appear from left to right.

In the problem below: Which operation is solved first? In the problem below: Which operation is solved first?

Multiply first… and rewrite the rest of the problem Next? Multiply first… and rewrite the rest of the problem Next?

Add…and rewrite the rest of the problem Add…and rewrite the rest of the problem

Last…subtract Last…subtract

Let’s try another one! 24 ÷ 2 4 Which operation is solved first? Let’s try another one! 24 ÷ 2 4 Which operation is solved first?

Divide first. It appears first. Rewrite the rest of the problem. 24 ÷ Divide first. It appears first. Rewrite the rest of the problem. 24 ÷

Multiply and rewrite the rest of the problem. 24 ÷ Multiply and rewrite the rest of the problem. 24 ÷

Multiply and rewrite the rest of the problem. 24 ÷ Notice….The problem will be in a triangular shape. Multiply and rewrite the rest of the problem. 24 ÷ Notice….The problem will be in a triangular shape.

Solve this one ÷ Solve this one ÷ 2 - 8

Divide first….even though it is in the middle of the problem ÷

Next add…rewrite the rest of the problem ÷

÷

Try this with me… Try this with me…

Get an answer to this one! 15 ÷

Simplify these on topic paper! ÷ ÷ ÷ ÷ 2 5

Solutions ÷ ÷ ÷ ÷ 2 5

2.20 ÷ ÷

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÷ ÷ ÷ ÷

÷ ÷

Grouping Symbols ( parentheses ) [ brackets ] { braces }

( ) parentheses Solve first…using order of operations rules inside. ( ) parentheses Solve first…using order of operations rules inside.

[ ] brackets Solve second … using order of operations rules inside.

{ } braces Solve third…using order of operations rules inside.

Grouping symbols are nested inside each other and are worked from the inside to the outside. { [ ( ) ] } Grouping symbols are nested inside each other and are worked from the inside to the outside. { [ ( ) ] }

A number or grouping symbols next to grouping symbols indicates multiplication. 7(6 - 4) This means 7 times the (6 - 4) answer or 72 A number or grouping symbols next to grouping symbols indicates multiplication. 7(6 - 4) This means 7 times the (6 - 4) answer or 72

When several grouping symbols are in the same problem simplify ( ), then [ ], then { }. (1)[2]{3} Follow order of operations rules in the grouping symbols. 4{7 +6[5(3+9)-(8-2)]} 4{7+6[512-6]} ( ) are now removed. When several grouping symbols are in the same problem simplify ( ), then [ ], then { }. (1)[2]{3} Follow order of operations rules in the grouping symbols. 4{7 +6[5(3+9)-(8-2)]} 4{7+6[512-6]} ( ) are now removed.

Next simplify inside the brackets remembering to use order of operations. 4{7+6[5(3+9)-(8-2)]} 4{7+6[512-6]} 4{7+6[60-6]} 4{7+654} Next simplify inside the brackets remembering to use order of operations. 4{7+6[5(3+9)-(8-2)]} 4{7+6[512-6]} 4{7+6[60-6]} 4{7+654}

Simplify inside the braces remembering to use order of operations. 4{7+6[5(3+9)-(8-2)]} 4{7+6[512-6]} 4{7+6[60-6]} 4{7+654} 4{7+324} Simplify inside the braces remembering to use order of operations. 4{7+6[5(3+9)-(8-2)]} 4{7+6[512-6]} 4{7+6[60-6]} 4{7+654} 4{7+324}

Last multiply to finish the problem. 4{7+6[5(3+9)-(8-2)]} 4{7+6[512-6]} 4{7+6[60-6]} 4{7+654} 4{7+324} Last multiply to finish the problem. 4{7+6[5(3+9)-(8-2)]} 4{7+6[512-6]} 4{7+6[60-6]} 4{7+654} 4{7+324}

Simplify these on topic paper. SHOW ALL WORK!!! 1.8+7(5-1) 2.3(10-2)÷ [36-4(5+3)] 4.[3(6+5)-2(8-4)+2] {3+3[2(4-3)+(7-5)]} Simplify these on topic paper. SHOW ALL WORK!!! 1.8+7(5-1) 2.3(10-2)÷ [36-4(5+3)] 4.[3(6+5)-2(8-4)+2] {3+3[2(4-3)+(7-5)]}

Solution: 8+7(5-1) Solution: 8+7(5-1)

Solution: 3(10-2)÷4 38÷4 24÷4 6 Solution: 3(10-2)÷4 38÷4 24÷4 6

Solution: 15-2[36-4(5+3)] 15-2[36-48] 15-2[36-32] Solution: 15-2[36-4(5+3)] 15-2[36-48] 15-2[36-32]

Solution: [3(6+5)-2(8-4)+2]5 [ ]5 [33-8+2]5 [25+2] Solution: [3(6+5)-2(8-4)+2]5 [ ]5 [33-8+2]5 [25+2]

Solution: 20-1{3+3[2(4-3)+(7-5)]} 20-1{3+3[21+2]} 20-1{3+3[2+2]} 20-1{3+34} 20-1{3+12} Solution: 20-1{3+3[2(4-3)+(7-5)]} 20-1{3+3[21+2]} 20-1{3+3[2+2]} 20-1{3+34} 20-1{3+12}

Simplifying Exponents is the base 2 is the exponent. It tells you how many times to take the base times itself. 4 2 = 4 4 = is the base 2 is the exponent. It tells you how many times to take the base times itself. 4 2 = 4 4 = 16

Simplifying Exponents is the base 2 is the exponent. It tells you how many times to take the base times itself. 4 2 = 4 4 = is the base 2 is the exponent. It tells you how many times to take the base times itself. 4 2 = 4 4 = 16

When exponents are in order of operations problems they are usually simplified first. For example, in the problem is simplified first. When exponents are in order of operations problems they are usually simplified first. For example, in the problem is simplified first.

Simplify using order of operation rules Simplify using order of operation rules

If exponents are outside of grouping symbols, you must simplify the grouping symbols first. Then follow order of operations. 2+5(6-4) 3 2+5(2) If exponents are outside of grouping symbols, you must simplify the grouping symbols first. Then follow order of operations. 2+5(6-4) 3 2+5(2)

If exponents are outside of grouping symbols, you must simplify the grouping symbols first. Then follow order of operations. The exponent will be simplified second. DO NOT MULTIPLY BY THE 5 BEFORE YOU SIMPLIFY THE EXPONENT. 2+5(6-4) 3 2+5(2) If exponents are outside of grouping symbols, you must simplify the grouping symbols first. Then follow order of operations. The exponent will be simplified second. DO NOT MULTIPLY BY THE 5 BEFORE YOU SIMPLIFY THE EXPONENT. 2+5(6-4) 3 2+5(2)