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1- Exploring Large Numbers There are many ways that we will/can represent a number. 1) 2) 3) 4) 5) ____________ form Word form ____________ form Number-_________ form ________ Value Ex. 371 165 321 What is the number worth? 1) Standard Form: ___________________ 2) Word Form: Three hundred - seventy one ____________ one hundred sixty five _________ three hundred twenty one 3) 300 000 000 + ________________+ ________________+ 100 000 + 60 000 + __________ + 300 + 2 +1 4) 371 Million _____ thousand ______ 5) Place Value MILLIONS THOUSANDS UNITS Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens 3 1 1 3 Ones Class work: Text Page 44-50 Questions 1-5, 7,8,12,14 Homework: Find two of the biggest numbers you can one in your home, one in your room Remember to tell where you found the number and show two ways of writing the number for tomorrow. Exploring Multiples Multiples of a ___________ are what a number increases by: Ex: 3: 3,,6,9,___, ____, 18…. Meaning: 3: 3X1=3 3X2=6 3X3=9 3X4=___ 3X5= ___ 3X6=18 Common Multiples: This relates to two or more different numbers. Finding the multiples of each of those numbers and seeing which numbers they share. Ex: 3: 3,,6,9,___, ____, 18,21,24,27 7: 7,14,___,28,35…. What are common in each? The common multiple is _____ Lowest Common Multiple or Least Common The multiple that is the smallest multiple in the group Ex: 2: 2,4,6,8,10,___,___,16,18,20 4: 4,8,12,___,20 What numbers do they share in “common” These are all ________________________. But _____ is the least __________ multiple, meaning the smallest of the common multiples. Textbook: Page 56-57: ALL Prime & Composite Numbers Prime Number: a number with _____________ two ____________, 1 and ______________. *** meaning- a number that can only be multiplied to get by multiplying itself by ______. Ex: 1 X 17 = 17 Factor 1 & Factor 17 = 2 Factors = _____________ number Ex: 7 = 1 X 7 Prime ____________ 7 is made up of ______ _______________ 1 & ______ What are some other Prime Numbers: Composite Numbers: a number with ____________ than two ______________. Ex: 8= 1 X 8; 2 X 4 8 has _______ factors so it is a ___________________ number Rainbow Factor: 20: 1 2 4 5 10 20 What are some more composite numbers? Page 61: Q: 1-8 extra #15 “No colour tiles for this block Investigating Factors Perfect Numbers: When the __________ of a number ________ up to the number last factor Ex. 6: The Factors are 1, ____, ____, and 6 1 + _____ + _____ = 6 6=6 this makes 6 a ___________ number. Common Factors using a Venn diagram: Ex: 16 & 28 16: 1, 2, ____, _____, 16 28: 1, 2, _____, _____, 14, 28 *Remember this area is for what numbers they share. The common _____________ of 16 & 28 are 1,2,4 Composite _______________ can be written as ______________ of its factors What together multiply to give you the Number? Ex: Using a rainbow 1 2 3 4 6 8 12 24 The factors of ________ are: 1, 2, 3, 4, ____, ____, 12, ____ We can sort the factors: PRIME NUMBERS Factor Tree: 24 The Prime Factors are: TEXTBOOK: Page 65 Q: 1-8 24 Order of Operations When a problem involves more than one ___________ we have to follow an order to solve it: BDMAS Step 1: Brackets Step 2: ______________ or _____________ Step 3: ______________ or _____________ ****** Important****** We solve math problems from ____________ to ____________ just like how we read a book. Ex: 18 – (10 + 6) Ex: 42 – (2 X 3) + 4 18 - _______ = 42 – _____ + 4 42 - _____ = Ex: 1+1+2x6÷3 1+1+______÷3 1+1+ _______ ______ + _______ = TEXTBOOK: Page 72-73 Q: 1,2,4,5,6,10,12 What is an Integer? An integer is all __________ and __________ numbers, excluding ___. Numbers such as (+16) and (-12) are _____________. (+16) is a ___________ integer (-12) is a ___________ integer We can use tiles to represent integers Ex: Represents (+1) yellow tiles represent (+1) Represents (-1) red tiles represent (-1) (-3) (+2) A number line may also be used to represent integers: The arrow on the __________ line represents (____); we say___________ five. **** The arrow always starts at ______ and ends on the number that is being represents. Opposite Integers: These are the same distance from ____ but are on ____________ sides of ______. (______) and (_______) are opposite integers. CLASSWORK: TEXTBOOK PAGE 76-77 QUESTIONS: 1-4, 6,7,9 Comparing and Ordering Integers Any number to the right of an ___________ are __________ than that integer. Any number to the left of an ___________ are ___________ than that integer. The number line can be used to compare integers (+2) is to the right of (-3) on a number line. (+) is greater than (-3), so we write (+2) (-3) To order the integers (+3), (-2), (+1), 5 The integers increase from __________ to __________ So, the integers from least to __________ are: _____________________ The integers from greatest to least are: ___________________ CLASSWORK TEXTBOOK PAGE: 80-81 QUESTIONS: 1,3,4,5,7,9,10,12