# Algebres d'Operateurs by Pierre de la Harpe

By Pierre de la Harpe

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100 c. 9 Solutions: a. 006 b. 1 38 39 c. 09 Â < previous page < previous page page_30 page_31 next page > next page > Page 31 I'll bet you're finding these pretty easy. You'll probably be able to complete Self-Test 2 in less than five minutes. Self-Test 2 1. Divide each of these numbers by 10: a. 01 b. 4 c. 900 d. 71 e. 3 2. Divide each of these numbers by 100: a. 80 b. 14 c. 7 d. 916 e. 05 Answers 1. a. 001 b. 4 c. 90 d. 071 e. 03 2. a. 8 b. 0014 c. 037 d. 16 39 40 e. 0005 3 How Are You Doing So Far?

1 Converting Fractions into Decimals Converting a fraction into a decimal is a simple problem of division. Problem 1: Convert 1/4 into a decimal. Solution: Â < previous page < previous page page_36 page_37 next page > next page > Page 37 The big question is why do we divide the 4 into the 1. Once again, we can call upon one of the laws of arithmetic. Whenever we have a fraction, it may be read as follows: divide the top number by the bottom number. You may raise the objection that you can't divide 4 into 1.

17 d. 13 e. 008 Answers 1. a. 9 b. 7 c. 860 37 38 d. 56 e. 1,020 2. a. 400 b. 2 c. 1,700 d. 13 e. 8 2 Fast Division Fast division is the exact reverse of fast multiplication. Instead of moving the decimal place to the right, we move it to the left. And in the case of whole numbers ending with zeros, we subtract zeros. Are you ready for some problems? Please work these out. Problems: Divide each of the following numbers by 10: a. 800 b. 3 Solutions: a. 80 b. 6 c. 03 In each case what we did was move the decimal one place to the left.