1. 98 cm          [2]                            6. 54 000 kg        [2]

2. 432 g          [3]                            7. 0.00532 s        [3]

3. 15.9 L         [3]                            8. 30.50 g          [4]

4. 89 650 s       [4]                            9. 450.5890 m       [7]

5. 0.582 s        [3]                           10. 22.009 300 L     [8]

 

Signficant figures with math

1.   4.5 cm + 9.9 cm                       (14.4 cm)

2.   30.5 g  +  13.68 g                    (44.1 g)

3.   2.8 mL  +  1.35 mL + 3.452 mL         (7.5 mL)

4 .  3 cm x  4  cm                         (10 cm²)

5.   6.5 mm x 1.22 mm                      (7.9 mm²)

6 .  30 cm x 15 cm                         (400 cm²)

7.   150. m x 283 m                        (42 400 m²)

8.   0.035 m² / 0.155 m                    (0.22 m)

9.   28.0000 mm² / 7.500 mm                (3.733 mm)

10.       0.00408 cm² / 30 cm                                           (0.000 1 cm or 1 E – 4 cm)                                                                       

Scientific Notation (Exponential Notation)

1.   1 000 000 000                         (1 E 9)

2.   0.000 000 1                           (1 E-7)

3.   85 000 000                            (8.5 E 7)

4.   4 300 000 000 000 000                 (4.3 E 15)

5.   0.000 154                             (1.54 E-4)

6.   9.5 E 4                               (95 000)

7.   3.2 E-9                               (0.000 000 003 2)

8.   7.31558 E 4                           (731 555.8)

9.   3.903 E 9                             (3 903 000 000)

10.  1.1 E-1                               (0.11)

 

Use of Scientific Formulas

 

The magnifying power of a telescope can be determined using the formula below. In the formula, F, represents the focal length of the larger lens and f, the focal length of the smaller lens. What is the magnifying power of a telescope in which the larger lens has a focal length of 62.5 cm and the smaller lens, a focal length of 50. mm? M = _F/f      Answer = 12.5X

 

Using the formula given above, find the magnifying power of the large telescope at the Yerkes Observatory if the large lens in that telescope has a focal length
18.9 m and the small lens has a focal length of 75.0 mm.

Answer      = 252X

 

 

Metric Conversions:

 

4 g to cg     (400 cg)
3 m to km   (0.003 km)
12 L to mL    (12 000 mL)
6 m to nm    (6 E 9 nm)
9 cm to m    (0.09 m)
15 mL to L     (0.015 L)
2.3 km to m    (2 300 m)
10 µm to m    (1 E -5 m)
12.5 mL to µL   (1.25 E 4 µL)
55.8 mm to nm   (5.58 E 7 nm)
0.6 cg  to mg    (6 mg)
0.068 kL to L     (68 L)
8.5 e -5 mg to cg    (8.5 E -6 cg)
0.089 km to mm   (89 000 mm)
1.85 E -6 µm  to nm   (1.85 E -3 nm)

 

Metric-English Conversions: