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

By Britta Immergut, Jean Burr Smith

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How much profit did she make on the sale? Solution 1. 2. 3. 4. 5. Pat bought something and sold it for more. To find the profit, subtract the original cost from the selling price. 450 − 329 ≈ 500 − 300 = 200 450 − 329 = 121 121 ≈ 200. Pat earned $121 profit. In this case you could have made both 450 and 329 smaller, that is, 450 ≈ 400 and 329 ≈ 300. The approximation ($100) would then be closer to $121. EXAMPLE In 1850 there were 213 libraries in the United States, and they contained 942,312 books.

List the prime numbers between 100 and 120. 5. Approximate the product 45 × 789 to one nonzero digit followed by the proper number of zeros. 6. Round 49,883 to the thousands place. 7. Multiply the two numbers 17 and 23. Is the product prime? Explain. 8. Add 345 million and 4,687,349. 9. What is the difference between $5 million and $350,000? 10. Brita spent $21 for a pin in Mexico. If the exchange rate is $1 to 10 Mexican new pesos, how many pesos did she pay? CHAPTER 2 INTEGERS The other side of zero Babylonians calculated with large numbers from early historical times.

Check: 8 × 91 = 728 EXAMPLE Solve 153 ÷ 9. Solution 17 9) 153 –9 63 –63 0 Check: 17 × 9 = 153 EXAMPLE Solve 7208 ÷ 8. 8 1. 2. 3. 4. 5. 12 divided by 3 18 divided by 9 63 divided by 7 546 ÷ 13 1545 ÷ 15 Don’t forget 8 into 0! CHAPTER 1 THE ARITHMETIC OF WHOLE NUMBERS 6. 7. 8. 9. 10. 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.

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