evaluate each expression. 1. 2. 3. 4. 5. 6.. lesson 2.1 operations with numbers
TRANSCRIPT
Evaluate Each Expression.1.
2.
3.
4.
5.
6.
Bellwork
Algebra 2Lesson 2.1
Operations with Numbers
Identify and use Properties of Real Numbers
Evaluate expressions by using the order of operations
Objectives:
Number SetsNatural Numbers - or “Counting Numbers”1, 2, 3, 4, 5, . . .
Whole Numbers - Natural Numbers together with “zero”0, 1, 2, 3, 4, 5, . . .
Integers - Whole numbers plus negatives. . . –4, –3, –2, –1, 0, 1, 2, 3, 4, . . .
Rational Numbers - All numbers of the form , where a and b are integers (but b cannot be zero) Rational numbers include what we usually call fractions
Irrational Numbers - Cannot be expressed as a ratio of integers. As decimals they never repeat or terminate
Real Numbers - ALL rational and Irrational Numbers
Key Information:
Rational Numbers Irrational Numbers
Integer
Whole
Natural
1.)
2.) 0
3.) 0.121212…
4.) -2.13796421…
5.)
Number Sets Practice: Identify ALL the sets to which each number belongs.
6.) 4⅔
7.) -18
8.)
Properties of Addition and Multiplication
Addition MultiplicationClosure a + b is real # ab is a real #
Commutative a + b = b + a ab = ba
Associative (a + b) + c = a + (b + c) (ab)c = a(bc)
Identity a + 0 = a 1•a = a
Inverse a + -a = 0
Key Information:
Distributive Property a(b+c) = ab + ac
1.) 6 + (-3) = (-3) +6
2.) c = 1• c
3.) (-10)(-7)=(-7)(-10)
4.) 2(4-5) = (4-5)2
Properties Practice:
Properties Practice:
6.) x[(-w) +y] = x(-w) + x(y)
7.) -2 + (x-5) = (-2 +x) -5
8.) (m-n) + [-(m-n)] = 0
9.) -2•-½ = 1
Order of Operations
P.E.(M.D.)(A.S.)
1.) Perform operations within the innermost grouping symbols. [()]
2.) Perform operations indicated by exponents (powers).
3.) Perform multiplication and division in order from left to right.
4.) Perform addition and subtraction in order from left to right.
Key Information:
Order of Operations Practice:
1.)
2.)
3.)
HomeworkLesson 2.1
Pages 90-91(16-70 EVENS)