By L. Clark Lay

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This article is designed to offer the coed a history within the foundations of algebra and research. The algebra of symbolic good judgment and the idea that of set are brought early within the textual content in order that the most definitional improvement of the complicated quantity method flows simply from a collection of postulates for the normal numbers.

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L 3 > 12 " 3 " _ 5 " 4 105 3 - 6 T" - = Problems 35 T = _ '' . and 105 3^ = 105 T5- For each expression below in the sums and 20 1. + 12 18 2. 4 30 20 5 5 12 6. 72 9. + 2 48 84 10. 12 32 + differences + 20 12 3. + + 8 4 75 14. 15 + 12 18 49 30 20 5 5 12 8 2 2 8. 88 - 56 91 - 56 12. 8 91 15. 15 12 3 11. 105 - 4. 7. 2 7 28 4 3 5. 4 form of a quotient, use the distributive or difference, and the inverse of this sum by equivalent products. Verify that these expressions determine the same number, and give this number.

3-7, Raising to a power there. is to be done T included with the four arithmetical necessary to revise the conventions given it is now is first, unless there are instructions otherwise, then multiplication and division, and, finally, addition and subtraction. Parentheses of different kinds and the bar of division are still used to make excep- and to state what must be done first. more than one type of parentheses are used, they are arranged in this manner: {[( )]}. Parentheses may be used to extend the influence of an expo3 3 nent.

How seller receive? A cotton picker harvested 3,025 lbs. for one owner and 1,575 lbs. for another during a 20-day season. How many lbs. a day did he average: 1 9. Mr. Cross paid $1,000 He then sold it for a for $400. second-hand car and drove How much it 30,000 miles. per mile was the depreciation on his car? 10. 00 for each. What was trip. the total expense of each? Verbal Problems 3-9] 11. A 37 car that averages 21 miles per gallon at 30 miles per hour gets only 16 How much miles per gallon at 60 miles per hour.