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

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

Place Value of Numbers

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

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

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

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

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: = 1 hundred + 8 tens + 5 ones 211 = 2 hundreds + 1 ten + 1 one = 4 hundreds + 9 tens + 12 ones (1 tens + 2 ones) 10 tens 1 hundreds + 0 tens 106 = 1 hundred + 0 ten + 6 ones

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

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).

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

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 = = 9 You Try: Solve for n. Pg.20 #67-74

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