Metric Conversions

Why use conversions? Need to convert from one measurement to a more “______________” measurement Usually original number is too BIG or too small 534,983 mm 0.000098 km

How to use conversions… Brainstorm 3 things you could measure with the following units Meters Liters Grams

Stair Step Kilo- Hecto- Deka- base units Deci- Centi- Milli- Grams, liters,meters

Converting: 534,983 mm = ? m Starting on the mm step, its 3 steps to m (basic unit) Move the decimal 3 places to the left 534,983

Converting: 0.000098 km = ? m 0.000098 What about… 98 km m How many steps is it from km → m? Which way do you move? 0.000098 What about… 98 km m

Metric Conversions Grams, liters,meters Kilo- Hecto- Deka- base units Deci- Centi- Milli- Grams, liters,meters Each move to the right = multiplying by 10 Each move to the left = dividing by 10

Examples of scientific notation Scientific Notations Short hand way writing _____________ or extremely small numbers Examples of scientific notation 3.8 x 108 9.1 x 103 6.7 x 10-6

Scientific Notations The little number means _______________ times to move the decimal point The +/- sign indicates the _______________ to move the decimal point (left or right) 3.8 x 108 = 380,000,000 Try these 9.1 x 103 = 6.7 x 10-6 =

Multiplying and Dividing w/Scientific Notation _____________ = add exponents _____________ = subtract exponents (2.0 x 109) x (4.0 x 103) = ????

Scientific Notation Practice Write out 4.8 x 10-5 Which is bigger? (9.9 x 103) or (2.4 x 107) Write in scientific notation 6,300,000,000 Write in scientific notation 0.000056 Divide (5.0 x 106) by (2.0 x 102) Most excellent!!