2-Variable Unit Conversions

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Presentation transcript:

2-Variable Unit Conversions honors

Review: One-step single variable Convert 6.2 x10-8 decimeters to meters. Convert 0.006 years into days.

Review: multi-step single variable Convert 101.8 micrograms into kilograms. Convert 27 inches into miles.

2-variable conversions --We are converting a unit on the top AND a unit on the bottom of a ratio. --For example, distance over time (60 miles per hour) or Mass over distance (grams per meter), etc.

2-variable conversions Step 1: Write the number given to convert in the problem. Step 2: Ignoring the bottom unit, convert the top unit as you have always done. Step 3: Continue the multiplication, but now ignoring the top unit, convert the bottom unit. Step 4: Finally, complete the multiplication as usual (multiply the top, multiply the bottom, then divide the two final numbers).

Helpful hints 1. This is one VERY long multiplication problem. This is NOT TWO multiplication problems. 2. Remember to include UNITS into your answer for full credit. 3. “per” means ratio/fraction line

Okay…let’s go! Convert 60 miles per hour into inches per second.

practice Convert 26.7 decimeters per liter into kilometers per gallon.

One more… Convert 7.7 x1012 seconds per centigram into months per pound.