# Arithmetic and Algebra Again: Leaving Math Anxiety Behind by Britta Immergut, Jean Burr Smith PDF By Britta Immergut, Jean Burr Smith

ISBN-10: 0071435336

ISBN-13: 9780071435338

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Extra resources for Arithmetic and Algebra Again: Leaving Math Anxiety Behind Forever, Second Edition

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How about 6 + 7? Most of us are not completely comfortable with certain number pairs. One way to identify these is to make a table. To shorten the time you need to fill in the table, look at these examples. EXAMPLE Find the sums. 3. In each pair, the tail of the second arrow is placed at the head of the first. Their combined length is the sum. 3 We say that addition is commutative, which means that the order in which you add the numbers does not matter. 1 1. Fill in the Addition Facts table. ADDITION FACTS + 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ 9 __ __ __ __ __ __ __ __ __ 9 __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ __ 4 + 5 = 9, so we write 9 across from the 4 and down from the 5.

11. 12. 3 USING A CALCULATOR EXAMPLE Solve 78 − 46. Solution Did you get 32? Be sure to use the − key and not the +/− key for subtraction. We need the +/− key for negative numbers, which will be discussed in Chapter 2. Multiplication is also straightforward. For example, 23 × 96 = 2208. Division can create problems. “56 divided by 7” is 56 ÷ 7 and works fine; the answer is 8. But “7 into 56” must be rewritten as “56 divided by 7” to work on the calculator. All calculators are programmed to do divide by only.

This is the associative property of addition. Multiplication is also associative: (2 • 3)4 = 2(3 • 4) (6)4 = 2(12) 24 = 24 This can also be shown on the number line: THE COMMUTATIVE PROPERTY If a and b stand for any numbers, then a+b=b+a and a(b) = b(a) THE ASSOCIATIVE PROPERTY If a, b, and c stand for any numbers, then (a + b) + c = a + (b + c) and (a • b)c = a(b • c) The Distributive Property (or subtraction). For example, Multiplication can be distributed over addition 5 × (2 + 3) = 5 × 2 + 5 × 3 = 10 + 15 = 25. 