Scientific Notation & Calculators UNDERSTAND TECHNOLOGY AND SCIENTIFIC NOTATION

43210 In addition to 3, student will be able to go above and beyond by applying what they know about working with integer exponents. The student will be able to work with integer exponents. - Know and apply the properties of exponents. - Simplify numerical expressions with exponents. - Perform operations with scientific notation. With no help the student has a partial understanding of integer exponents. - Is able to use scientific notation to estimate very large or very small numbers. - Interpret scientific notation generated by technology. With help, the student may have a partial understanding of how to work with integer exponents. Even with help, the student is unable to work with integer exponents. Focus 11 - Learning Goal: The student will be able to work with integer exponents.

The School Calculator Follow these steps with the school calculator: Input … seven times. Your display reads Press the 10 n key and enter 7. Your display reads The 10 n key is a shortcut for powers of 10.

The School Calculator Try these calculations: 1. ( )( ) Type 2, x, 10 n, 3, x, 3, x,10 n, 4, = Your answer reads Write this is scientific notation: Type 4, x, 10 n, 5, ÷, (, 16, x, 10 n, 2,), = Your answer reads 250. Write this is scientific notation:

The School Calculator Try this calculation: ( )( ) What did you get? Error The school calculator is incapable of doing any calculation over 10 7 power. You will need a “real” scientific calculator.

Scientific Calculators There is an optional setting on this calculator to do all calculations in scientific notation. You press the “2 nd ” key and the “DRG” then select “SCI” However, this calculator will automatically convert answers to scientific notation even if you are not in this special mode.

Scientific Calculators Video (only play first 2 minutes)

Scientific Calculators Try this calculation on the Texas Instruments TI-30Xa scientific calculator. ( )( ) Type 7, EE, 8, x, 9, EE, 6, = This is what your display looks like. When you write your answer, put it in proper scientific notation form:

Scientific Calculators Try this calculation on the Texas Instruments TI-30XSIIS scientific calculator. ( )( ) Type 7, 2 nd, x -1 (see the EE above this button), 8, x, 9, 2 nd, x -1, 6, = This is what your display looks like. When you write your answer, put it in proper scientific notation form:

Scientific Calculators Try this calculation on the Texas Instruments TI-36X Pro scientific calculator. ( )( ) Type 7, EE, 8, x, 9, EE, 6, = This is what your display looks like. When you write your answer, put it in proper scientific notation form:

Scientific Calculators Try this calculation on the Casio fx-115ES Plus scientific calculator. ( )( ) Type 7, x10 x, 8, x, 9, x10 x, 6, = This is what your display looks like. When you write your answer, put it in proper scientific notation form:

Team Activity: Ants versus Humans The average mass of an adult human is about 65,000 grams while the average mass of an ant is approximately grams. The total human population in the world is approximately 6.84 billion, and it is estimated that there are currently about 10,000 trillion ants alive. Based on these values, how does the total mass of all living ants compare to the total mass of all living humans? As a team work on this problem. Create a visual display that you can share with the class of how you came to your answer. Show your work. You may use your calculators.