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PROBLEM SOLVING PLAN 1.READ and UNDERSTAND the problem. 2.PLAN how to solve the problem. 3.SOLVE it. 4.LOOK BACK and CHECK to see if your answer makes.

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Presentation on theme: "PROBLEM SOLVING PLAN 1.READ and UNDERSTAND the problem. 2.PLAN how to solve the problem. 3.SOLVE it. 4.LOOK BACK and CHECK to see if your answer makes."— Presentation transcript:

1 PROBLEM SOLVING PLAN 1.READ and UNDERSTAND the problem. 2.PLAN how to solve the problem. 3.SOLVE it. 4.LOOK BACK and CHECK to see if your answer makes sense. Do You Remember?

2 Adding and Subtracting Decimals Lesson 1-5

3 The Basic Steps: 1. Line up the numbers by the decimal point. 2. Fill in missing places with zeroes. 3. Add or subtract.

4 Addition Properties Commutative Property of Addition: Numbers can be added in any order. Example: 5+3=3+5 Associative Property of Addition: Numbers can be grouped in any way. Example: (7+3) + 5 = 7 + (3+5) Identity Property of Addition: The sum of any number and zero is that number. Example: 18 + 0 = 18

5 Mental Math Addition properties can be used to quickly find sums. Example: What is 52 + 12.4 + 48? We can use an addition property to quickly add this. First, change the order: 52 + 48 + 12.4 ________________ property. Then, group the first two addends together: (52 + 48) + 12.4 ________________ property 100 + 12.4 = 112.4 commutative associative

6 Example: 28.9 + 13.31 This can estimate to 30 + 13, which is 43. (Compatible numbers) 28.9 13.31+ 0 42.21 The answer is close to the estimate.

7 Subtracting The addition properties do not work for subtraction. Estimate and subtract to find what the answer is close to. Subtract to find the real answer.

8 Subtracting Across Zeroes If you have several zeroes in a row, and you need to borrow, go to the first digit that is not zero, and borrow. All middle zeroes become 9’s. The final zero becomes 10.

9 Example: 15 – 9.372 15 9.372 -.000 4 9 9 10 826. 01 5

10 Play Hotel Decimalfonia to help you add and subtract decimalsHotel Decimalfonia Practice Adding Decimals and Subtracting Decimals from AAA MathAdding Decimals Subtracting Decimals Complete Adding/Subtracting Decimals worksheet

11 Homework Time pg. 27-28, #2-40 evens, pg. 32, #2-14 evens The above image is of Detroit, MI from http://www.leadersinstituteteambuilding.com/locations/team-building-detroit


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