1. Metric Prefixes Conversions Ch 1 Examples

3. Convert 0.00000000300 dm to nm Deci (10 -1 ) to nano- (10 -9 ) is move of eight orders of magnitude to the right Decimal moves eight decimal places to the right 0.300 nm 3.00 x 10 -1 nm also OK

4. Convert 4,000 cg to Mg Centi- (10 -2 ) to Mega- (10 6 ) is eight orders of magnitude to the left Decimal moves eight places to the left 0.00004 Mg 4 x 10 -5 Mg

5. Convert 3.4 x 10 -7 km to cm Kilo- (10 3 ) to centi- (10 -2 ) is move of five decimal places to the right Exponent rises five 3.4 x 10 -2 cm 0.034 cm

6. Convert 9.61 x 10 5 pm to m Convert 9.61 x 10 5 pm to m Pico- (10 -12 ) to base unit (10 0 ) is twelve steps on number line to the left Exponent drops twelve 9.61 x 10 -7 m 0.000000961 m

7. Converting Square and Cubic Units Multiply the decimal place change by the exponent of the unit to know the overall change in value Square (area) units-multiply by 2 Cubic (volume) units-multiply by 3

8. Example: Square Units Convert 49055 mm 2 to cm 2 Milli (10 -3 ) to centi (10 -2 ) is move of one decimal place to the left Multiply this X 2 = total change of 2 decimal places to the left because square units 490.55 cm 2 4.9055 x 10 2 cm 2

9. Example: Cubic Units Convert 2.39 x 10 -14 km 3 to dm 3 Kilo (10 3 ) to deci- (10 -1 ) is move of four steps on number line to right Multiply this value by 3 because cubic unit = total change of 12 decimal places Exponent rises 12 2.39 x 10 -2 dm 3 0.0239 dm 3

10. Find the Conversion Convert 2.06 x 10 -2 Tm 3 to km 3

11. Tera (10 12 ) to kilo (10 3 ) is change of 9 decimal places to the right Multiply this by 3 because volume unit Total decimal place change is 27 Exponent rises 27 2.06 x 10 25 km 3

12. Find the Conversion Convert 6.05 x 10 12 μm 2 to cm 2

13. micro (10 6 ) to centi (10 -2 ) is change of 4 decimal places to the left Multiply this by 2 because area unit Total decimal place change is 8 Exponent falls 8 6.05 x 10 4 cm 2