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MATH 10021 Core Mathematics I

math 10021 . core Mathematics I. Department of Mathematical Sciences Kent State University July 23, 2010. 2. Contents 1 Real Numbers and Their Operations 5. Introduction .. 5. Integers, Absolute Values and Opposites .. 19. Integer Addition and Subtraction .. 36. Integer Multiplication and Division .. 55. Order of Operations .. 62. Primes, GCF, & LCM .. 77. Fractions and Mixed Numbers .. 91. Fraction Addition and Subtraction .. 125. Fraction Multiplication and Division .. 146. Decimals and Percents .. 162. Decimal Operations .. 189. Introduction to Radicals .. 207. Properties of Real Numbers .. 216. 2 Algebra 229. Variables and Algebraic Expressions .. 229. Linear Equations .. 241. Problem Solving .. 260. Proportions and Conversion Factors .. 270. Linear Inequalities .. 285. 3 Graphing and Lines 299. Cartesian Coordinate System.

Now consider 1321¡567. When we line these numbers up according to place value, we see that we would like to take 7 away from 1 in the ones place. This cannot happen. Therefore, we need to borrow from the next column to the left, the tens. This is often referred to as \borrowing 10", but what you are borrowing ten of depends on the situation.

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