BELLWORK BELLWORK 1 N Composite W Z Q
BELL-WORK
BELL-WORK 1. N, Composite, W, Z, Q, R 2. False; 1. 25 3. W; It is possible to have no fish OR N; since it is not possible to have no fish
Did you get it? Name the property that each equation illustrates: 1. ID+ 2. 9(7. 3) = 7. 3(9) 3. Cx IDx 4. -½ ● -2 = 1 IVx
Algebraic Equivalence Give a reason to justify each step: 4 c + 6 + 3 c = a. 4 c + 3 c + 6 C+ b. = (4 c + 3 c) + 6 A+ c. = 7 c + 6 Addition
Algebraic Equivalence Give a reason to justify each step: 8 w – 28 + 4 w = a. 8 w + (-28) + 4 w Definition of subtraction b. = 8 w + 4 w + (-28) C+ c. = (8 w + 4 w) + (-28) A+ d. = 12 w – 28 Addition
Properties of Number Systems Closure property of operations: a set of numbers is said to be closed under an operation if the result of the operation will always belong to the original set. Example: Are the whole numbers closed under addition? Whole # + Whole # = Whole # Therefore, the whole numbers are closed under addition because the sum of 2 whole numbers is always whole. Example: Are the whole numbers closed under subtraction? Whole # - Whole # = Integer Therefore, the whole numbers are not closed under subtraction because the difference of 2 whole numbers is an integer.
Properties of Numbers Systems Example: Are the whole numbers closed under multiplication? Whole # × Whole # = Whole # Therefore, the whole numbers are closed under multiplication because the product of 2 whole numbers is always whole. Example: Are the whole numbers closed under division? Whole # ÷ Whole # = Not always whole Rational or Not real Therefore, the whole numbers are not closed under division because the quotient of 2 whole numbers is not always whole.
Properties of Number Systems Are the even numbers closed under subtraction? The even numbers are not closed under subtraction because the difference of 2 even numbers I not always even. Ex. 2 – 2 = 0 Zero is neither odd nor even.
- Slides: 8