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R.1-Place Values and Names of Numbers MATH 081 Catherine Conway

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Vocabulary Place values: the position of the digits in a number that determines the value of that digit. Digit: number in the number system.

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Place Value of Numbers

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Expanded Form of a Number We can use the idea of place value to write numbers in expanded form. Example: Money Write $632 in expanded form. 600 + 30 + 2

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Writing Numbers in Words See table on page 6. Write the following numbers in words. 56 902 3,972 51,205 Fifty six Nine hundred two Three thousand, nine hundred seventy - two Fifty-one thousand, two hundred five

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R. 2-Addition with Whole Numbers, and Perimeter Math 081 Catherine Conway

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Adding Whole Numbers Add the digits within the same place value Example: 62 + 23 6 2 2 3+ 5 8 62 = 6 tens + 2 ones 23 = 2 tens + 3 ones+ 85 = 8 tens + 5 ones You Try: 175 + 201 Answer: 376

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Addition with Carrying If the sum of the digits with the same place value is larger than 9 we have to do what is called carrying Example: 185 + 211 + 106 185 = 1 hundred + 8 tens + 5 ones 211 = 2 hundreds + 1 ten + 1 one + 502 = 4 hundreds + 9 tens + 12 ones (1 tens + 2 ones) 10 tens 1 hundreds + 0 tens 106 = 1 hundred + 0 ten + 6 ones

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You Try: Pg 19 #12, 22, 30, 40, 44

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Vocabulary and Properties of Addition Sum: If a and b are any two numbers, then the sum of a and b is a + b. To find the sum of two numbers means to add the numbers together. Addition Property of Zero: If we let a represent any number, then it is always true that a + 0 = a and 0 + a = a. Commutative Property of Addition: If a and b are any two numbers, then it is always true that a + b = b + a. Associative Property of Addition: If a, b and c are any three numbers, then it is always true that (a + b) + c = a + (b + c).

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Practice: Pg 20 # 55, 58, 60, 65

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Solving Equations The letter n that we will be using is know as a variable and it can represent a certain number based on the equation we are trying to solve. Example: n + 3 = 9 What is this asking you to find? n = 6 6 + 3 = 9 You Try: Solve for n. Pg.20 #67-74

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GEOMETRY: Perimeter A polygon is a closed figure, with at least three sides, in which each side is a straight line. h b s w l The perimeter of a polygon is the sum of the lengths of the sides, and it is denoted with the letter P. Refer to Example 9 on page 17

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