Metric Prefixes ConversionsMetric Prefixes Conversions

Ch 1 ExamplesCh 1 Examples

Convert 0.00000000300 dm to nmConvert 0.00000000300 dm to nm

Deci (10Deci (10-1-1) to nano- (10) to nano- (10-9-9) is move of ) is move of eight orders of magnitude to the eight orders of magnitude to the rightright

Decimal moves eight decimal places Decimal moves eight decimal places to the rightto the right

0.300 nm 0.300 nm

3.00 x 103.00 x 10-1-1 nm also OK nm also OK

Convert 4,000 cg to MgConvert 4,000 cg to Mg

Centi- (10Centi- (10-2-2) to Mega- (10) to Mega- (1066) is eight ) is eight orders of magnitude to the leftorders of magnitude to the left

Decimal moves eight places to the Decimal moves eight places to the leftleft

0.00004 Mg0.00004 Mg

4 x 104 x 10-5 -5 Mg Mg

Convert 3.4 x 10Convert 3.4 x 10-7 -7 km to cmkm to cm

Kilo- (10Kilo- (1033) to centi- (10) to centi- (10-2-2) is move of ) is move of five decimal places to the rightfive decimal places to the right

Exponent rises five Exponent rises five

3.4 x 103.4 x 10-2 -2 cmcm

0.034 cm0.034 cm

Convert 9.61 x 10Convert 9.61 x 105 5 pm to mpm to m

Pico- (10Pico- (10-12-12) to base unit (10) to base unit (1000) is ) is twelve steps on number line to the twelve steps on number line to the leftleft

Exponent drops twelveExponent drops twelve

9.61 x 109.61 x 10-7-7 m m

0.000000961 m 0.000000961 m

Converting Square and Cubic UnitsConverting Square and Cubic Units

Multiply the decimal place change by Multiply the decimal place change by the exponent of the unit to know the the exponent of the unit to know the overall change in valueoverall change in value

Square (area) units-multiply by 2Square (area) units-multiply by 2

Cubic (volume) units-multiply by 3Cubic (volume) units-multiply by 3

Example: Square UnitsExample: Square UnitsConvert 49055 mmConvert 49055 mm22 to cm to cm22

Milli (10Milli (10-3-3) to centi (10) to centi (10-2-2) is move of ) is move of one decimal place to the leftone decimal place to the left

Multiply this X 2 = total change of 2 Multiply this X 2 = total change of 2 decimal places to the left because decimal places to the left because square unitssquare units

490.55 cm490.55 cm22

4.9055 x 104.9055 x 102 2 cmcm22

Example: Cubic UnitsExample: Cubic Units

Convert 2.39 x 10Convert 2.39 x 10-14-14 km km33 to dm to dm33

Kilo (10Kilo (1033) to deci- (10) to deci- (10-1-1) is move of four ) is move of four steps on number line to rightsteps on number line to right

Multiply this value by 3 because cubic Multiply this value by 3 because cubic unit = total change of 12 decimal unit = total change of 12 decimal placesplaces

Exponent rises 12Exponent rises 12

2.39 x 102.39 x 10-2-2 dm dm33

0.0239 dm0.0239 dm33

Find the ConversionFind the Conversion

Convert 2.06 x 10Convert 2.06 x 10-2-2 Tm Tm33 to km to km33

Convert 2.06 x 10Convert 2.06 x 10-2-2 Tm Tm33 to km to km33

Tera (10Tera (101212) to kilo (10) to kilo (1033) is change of 9 ) is change of 9 decimal places to the rightdecimal places to the right

Multiply this by 3 because volume Multiply this by 3 because volume unitunit

Total decimal place change is 27Total decimal place change is 27

Exponent rises 27Exponent rises 27

2.06 x 102.06 x 102525 km km33

Find the ConversionFind the Conversion

Convert 6.05 x 10Convert 6.05 x 101212 μμmm22 to cm to cm22

Convert 6.05 x 10Convert 6.05 x 101212 μμmm22 to cm to cm22

micro (10micro (1066) to centi (10) to centi (10-2-2) is change ) is change of 4 decimal places to the leftof 4 decimal places to the left

Multiply this by 2 because area unitMultiply this by 2 because area unit

Total decimal place change is 8Total decimal place change is 8

Exponent falls 8Exponent falls 8

6.05 x 106.05 x 1044 cm cm22