Scientific Notation Problem Set 4

Fourth Problem Set

Calculate the following:

1. (5.7 x 106) + (3 x 105) = 5.7 x 106 + 0.3 x 106 = (5.7+0.3) x 106 = 6 x 106

2. (4.2 x 10-8) - (2.3 x 10-8) = (4.2 - 2.3) x 10-8 = 1.9 x 10-8

3. (3.8 x 105) - (2.1 x 106) = (0.38 x 106) - (2.1 x 106) = -1.72 x 106

Round this to -1.7 x 106

4. (7.43 x 105) + (1.97 x 107) / (2 x 103)

(7.43 x 105) + ( 1.97 / 2 ) x ( 107-3)

(7.43 x 105) + ( 1.97 / 2 ) x ( 107-3)

(7.43 x 105) + (0.985 x 104)

(7.43 x 105) + (0.0985 x 105)

(7.43 + 0.0985) x 105

7.5285 x 105 rounded to 7.53 x 105

5. (1.35 x 107) + (8 x 105) = (1.35 x 107) + (0.08 x 107) = (1.35 + 0.08) x 107

1.43 x 107

6. (6.52 x 103) - (1.41 x 105) x (2.31 x 10-3)

(6.52 x 103) - (1.41 x 2.31) x (105-3)

(6.52 x 103) - (3.26 x 102)

(6.52 x 103) - (0.326 x 103)

(6.52 - 0.326) x 103

6.19 x 103

7. (8.52 x 10-9) + (2.16 x 10-9) = 10.68 x 10-9 = 1.068 x 10-9

Round this to 1.07 x 10-9

8. (4.73 x 104) + (3.16 x 1011) / (7.4 x 103)2

(4.73 x 104) + (3.16 x 1011) / (7.4 x 7.4 x 103+3)

(4.73 x 104) + (3.16 x 1011) / (54.76 x 106)

(4.73 x 104) + (3.16 / 54.76) x 1011-6

(4.73 x 104) + (0.058 x 105)

(0.473 x 105) + (0.058 x 105)

(0.531 x 105) = 5.31 x 104

Updated 8/27/99
By James E. Heath