2. WITH DECIMAL NUMBERS Kenna Creel MEDT 3401 Digital Movie Assignment Fall 2012 ADDITION

3. Agenda I. Standard/EQ/Agenda II. Addition Property Vocabulary Review III. Decimal Addition With Properties Review IV. Practice Worksheet Activity

4. Standard MCC5.NBT.7 Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

5. Essential Question How do we add decimal numbers?

6. What do we know about adding? What different ways can we add? Can we use different properties to add? If so, what properties?

7. Commutative Property When two numbers are added, the sum is the same regardless of the order of the addends. For example: 4 + 2 = 2 + 4

8. Associative Property When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (2 + 3) + 4 = 3 + (4 + 2)

9. Additive Identity Property The sum of any number and zero is the original number. For example 5 + 0 = 5.

10. Things to remember… One of the easiest ways to solve an addition problem with decimal numbers is by doing what we would do to determine which is larger… STACK THEM UP! Your decimals should ALWAYS be lined up! You need to know how to use the different properties in addition problems- they WILL show up on tests!

11. Properties and Decimal Numbers How can we apply what we know about these three properties to adding decimal numbers? IT’S EASY!

12. Commutative Property With Decimal Numbers When two numbers are added, the sum is the same regardless of the order of the addends- just like when we use the property with any other number! For example: 0.4 + 0.2 = 0.2 + 0.4

13. Associative Property with Decimal Numbers When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example (0.2 + 0.3) + 0.4 = 0.3 + (0.4 + 0.2)

14. Additive Identity Property with Decimal Numbers The sum of any number and zero is the original number. For example 0.5 + 0 = 0.5.

15. And Now… It’s your turn! 1.04 + 16.78 = 16.78 + 1.04 0 + 23.437= 23.437 7.59 + (18.641+0.02)= 18.641 + (0.02 + 7.59)