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# 7th Grade Math / Lesson 4: Exponents

 EXPONENTS What will we be learning in this lesson? This lesson will explain and demonstrate the use of exponents. Vocabulary words are found in this purple color throughout the lesson. Remember to put these in your notebook.

 EXPONENTS Exponential form of a number looks like this: 4 3 which means 4*4*4 The 4 is the base: the number that gets multiplied repeatedly.The 3 is the exponent or power: it tells how many times to multiply the base.Ex) Exponential Form                         Factors*                 Standard form         2 4                                           2 * 2 * 2 * 2                        16         6 2                                               6 * 6                               36     *factors: things that are multiplied together

 EXPONENTS EXPONENTS Fill in the missing information EXPONENTS Fill in the missing information EXPONENTS Negative Exponents Occasionally, there will be a negative exponent. Negative exponents will result in a fractional value in standard form.Ex) 4 -2    becomes    1/42    which means 1/(4*4)    which equals 1/16Ex) 3 -1    becomes    1/31    which means 1/3         which equals 1/3

 EXPONENTS Fill in the missing information EXPONENTS Fill in the missing information EXPONENTS Exponents that are Zero If your exponent is zero, the standard form of the number is 1. Raising a number to the power of zero means that you do not have any factors to multiply together.Ex) Exponential form          Standard form               5 0                                1              10 0                                1Any nonzero number raised to the zero power is 1.

 EXPONENTS Exponents that are Zero 34    =  81             Take one off of the exponent              Divide 81 by 3 3 3   =  27             Take one off of the exponent              Divide 27 by 3 32     =   9             Take one off of the exponent              Divide 9 by 3 31    =   3              Take one off of the exponent             Divide 3 by 3 3 0   =    1              Take one off of the exponent             Divide 1 by 3 3 -1  =  1/3              Take one off of the exponent             Divide 1/3 by 3 3-2   =  1/9