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Place Value, Multiplication, & Expressions
Chapter 1 Standards: MAFS.5.NBT.1.1, MAFS.5.NBT.1.2 , MAFS.5.NBT.2.5, MAFS.5.NBT.2.6, MAFS.5.OA.1.1, MAFS.5.OA.1.2
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Chapter 1 Vocabulary Review estimate factor multiply place value
product quotient New base Distributive Property evaluate exponent inverse operations numerical expression order of operations period
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1.1- Place Value and Patterns
Divide by 10 Number 10 times 1/10 of 10 700 9,000 Thousands Hundreds Tens Ones 300 Quizlet Game for ten times as much and 1/10 of.. 10 times as much /10 of
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1.1 Your turn 1. 500 is 10 times as much as __.
2. 20,000 is 1/10 of __. is 1/10 of __. is 10 times as much as __. is __ times as much as 2. 6. 4,000 is __ times as much as 4. 7. 50,000 is __ times as much as 500 8. Explain how you can use place-value patterns to describe how 50 and 5,000 compare. _________________________________________________________________________________________________________
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1.4 Powers of 10 and Exponents
Expressions with repeated factors, such as 10 x 10 x 10, can be written by using a base with an exponent. The base is the number that is used as the repeated factor. The exponent is the number that tells how many times the base is used as a factor. Ex: 10 x 10 x 10 = 10³ = 1,000 _
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1.4 Example Hummingbirds beat their wings very fast. The smaller the hummingbird is, the faster its wings beat. The average hummingbird beats its wings about 3 X 10³ times a minute. How many times a minute is that, written as a whole number? Multiply 3 by powers of ten. Look for a pattern. 3 X 10⁰ = 3 X 1 = __ 3 X 10¹ = 3 x 10 __ 3 x 1 0²= 3 x 10 X 10 = __ 3 x 10³ = 3 x 10 x 10 x 10 = __ So, the average hummingbird beats its wings about ______ times a minute.
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1.4 Your turn Complete the Pattern. 5. 10x10x10x10= Exponent form:
Word form: 2) 10x10x10x10x10x10= Find the Value 3. 10⁵= 4. 2 x 10³= Complete the Pattern. 5. 7 X 10⁰ = 7 X 1 = __ 7 X 10¹ = 7 x 10 __ 7 x 10²= 7 x 10 X 10 = __ 7 x 10³ = 7 x 10 x 10 x 10 = __ 7 x 10⁴= 7 x 10 x 10 x 10 x 10=
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1.4 GoMath p. 20 in Student Edition online math book
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1.5 Multiplication Patterns
7 x 8= (7x8) x 10¹= (7x8) x 10²= (7x8) x 10³= 2. 9 x 5= (9x5) x 10¹= (9x5) x 10²= (9x5) x 10³= 3. 5 x 7= (5 x 7) x ____ = 350 (5 x 7) x ____ = 3,500 (5 x 7) x ____ = 35,000 (5 x 7) x ____ = 350,000 4. (8 x 8) x 10²= 5. (9x8) x 10³=
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1.5 Cont’d
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1.6 Multiplying 1 digit numbers
Estimate. Then find the exact number. 796 X 9 803 X 6 487 X 5 H.O.T. Solve for the unknown number. X 6 2,3_6 _ X ___16
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1.7 Multiplying by 2-digit numbers
64 x 43 ←64 x ___ +______ x 38 ←571 x ___ x 52 ←126 x ___ +______ 4. Estimate. Solve. 54 x 31
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1.7 cont’d - Area Model Solve. Then estimate. 27 X 12 508 X 24
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Quiz Review- Use Notebook Paper
8 is 1/10 of ____ 900 is 10 times as much as ___ 10² ______ (2 x 8) x ____ is 160 (2 x 8) x _____ is 1,600 (2 x 8) x _____ is 16,000 5. Estimate and find the exact answer. Traditional Method. 532 X 22 6. Find the exact answer. Area Model. 632 X 18
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1.8 Relate Multiplication and Division
You can use the relationship between multiplication and division to solve a division problem. Using the same numbers, multiplication and division are opposite, or inverse operations.
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1.8 Continued… For division,
You must find the inverse operation (multiplication) first in order to solve the problem.
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1.10 Numerical Expressions
A numerical expression is a mathematical phrase that has numbers and operation signs but does not have an equal sign. Write an expression to match the words. Greg drives 26 miles on Monday and 90 miles on Tuesday. Lynda has 27 fewer fish than Jack. Jack has 80 fish. Write words to match the expression. Billy Bob has 17 fewer hot dogs than Jesse Joe. Jesse Joe has 34. 4. 6 x (12 - 4) Jeff has 12 birds than 4 flew away.Later on 6 times as many birds flew to Jeff looking for , food.
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1.10 Your turn. Write an expression to match the words.
1. José shared 12 party favors equally among 6 friends. 2. Isabelle bought 12 bottles of water at $2 each. 3. Monique had $20. She spent $5 on lunch and $10 at the bookstore.
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1.11 Evaluate Numerical Expressions
To evaluate, or find the value of, a numerical expression with more than one operation, you must follow rules called the order of operations. The order of operations tells you in what order you should evaluate an expression Parentheses Exponents Multiplication Division Addition Subtraction FLOCABULARY PEMDAS VIDEO
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1.11 Examples and Your Turn Ex: 10 + 36 ÷ 9 Ex: 10 + (25 - 10) ÷ 5
Ex: 10³- (3 x 2) + 10 (4 + 49) - 4 x 10 (68 + 7) Rewrite the expression with parentheses to equal the given value. ÷ value: 14 ÷ value: 2
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Distributive Property
Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. 5 x (7 + 9) = (5 x 7) + (5 X 9) One way (use addition) Use addition. 8 x 59 = 8 ( ____ + 9) = (____ x 50) + (8 x ___) = ______ + ______ = ______ Second Way (use subtraction) 8 x 59 = 8 x ( __ - 1) = ( __ x 60) - (8 x__ ) =______ - _______ = ___________
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