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Warm-up. 1. Make the number 8 by using each of these four numbers: 2,3,4, and 8. You may use each number once with any operation and grouping symbols. 1.3. Properties of Numbers. Goal. To recognize the properties of equality and identity.
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Warm-up 1. Make the number 8 by using each of these four numbers: 2,3,4, and 8. You may use each number once with any operation and grouping symbols.
1.3 Properties of Numbers
Goal • To recognize the properties of equality and identity. • To recognize the Commutative and Associative Property.
Ex. 1 Evaluate . Name the property used in each step.
Ex. 2 Name the property used in each step. = _____ = _____ = _____ = _____
Using the Commutative and Associative Properties • Nikki walks 2 blocks to her friend Sierra’s house. They walk another 4 blocks to school. At the end of the day, Nikki and Sierra walk back to Sierra’s house, and then Nikki walks home. • Distance from Nikki’s house to school • Distance from school to Nikki’s house
Commutative Property The order in which you add or multiply numbers does not change their sum or product. For numbers a and b, a + b = b + a And (a)(b) = (b)(a)
Associative Property • The way you group three or more numbers when adding or multiplying does not change their sum or product. • For any numbers a, b, and c, (a + b) + c = a + (b + c) and (ab)c = a(bc)
Ex. 3 Eric makes a list of items that he needs to buy for a party and their costs. Find the total cost of these items.
Closure Property Ex. 6: The sum of any two whole numbers is always a whole number. So, the set of whole numbers is said to be closed under addition. This is an example of the closure property. State whether each statement is true or false. If false, justify your reasoning. • The set of whole #s is closed under subtraction. • The set of whole #s is closed under multiplication. • The set of whole #s is closed under divison.
Quiz Review • Pg. 32 1-17
HW • Pg. 20 # 30-48,58,59 • QUIZ is WEDNESDAY over 1.1-1.4