Intermediate Algebra for Colleges by Hart W.H.

By Hart W.H.

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150 EXAMPLE 1. 573 + SOLUTION. 319. 478. 085. f EXERCISE 17 Write the number in decimal form. 3 and 25 hundredths. 1. 4. 3. 10*. 2. Point, oh, 1, 5, 3, 9, oh, 4. 6. 10'. ~ 6. i- 7. i- Write each number as a sum involving powers of 10, with one term corresponding to each digit (not zero) of the number. 9. 8. 567. 3149. Write the number in decimal notation equal + 3(10) +6 + A + 13. 5(100) sum. A + 7(10') + 3(10) + 5 + Compute to the + 3 + 1 + JL + -J- 14. 2(1000) -f 4(10) 15. 5(10*) the indicated + sum.

2. 3) an exponent. the definition of . 2 6 3 . 4 . 10s . 9. (- . 14. 3 3 4 and when 24 will it if a = - 33. Compute if x = 34. Compute If x x is Perform 5xy* - 4W if negative, 3 and y h what = 2 and b = - positive or negative, is 104 . 10. (- 5)*. 15. (- 3)*. 20. ($). 25. - 29. 5(43 ). 30. - 2(- 33 will l) ( n 6s . 5). be positive be negative? 2 Compute 3a 6 35. If 4 I) . - 24. 5. 19. (f) 3 . 28. 6(10*). 32. is 4. 2. = 3 and k what is 2. the nature of x2 positive or nega, 3 4 the nature of x and of x ?

Equation in (2) 34. Division is zero. = ,. we We process for polynomials is similar to long division say that the division is exact if the final remainder INTRODUCTION TO FRACTIONS AND EXPONENTS EXAMPLE SOLUTION, = x2 x(x 5) 2. (8x S(x -T- (x 2 -f- (x + 3x - 2 x; this x) we subtract 8; this 8x We 40. - (x 5). term of the quotient. Then, from the dividend, obtaining 8x 40. this first term of the quotient. the second is -5- 40) the is 5x; = x) = 5) Divide: 1. 35 Then, subtract this, obtaining zero.

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