Page 147 - Math Course 1 (Book 1)
P. 147

Negative Exponents





                Use Negative Exponents                            Algebraic Expressions with

                       1
                 Write        as an expression using a negative   Negative Exponents
                       32
                 exponent.                                         Example

                 A.  1                                                        –2
                   2 -5                                              Evaluate r    if r = –4.
                 B. 2 –6                                              –2      –2
                                                                     r    = (–4)          Replace r  with –4.
                 C. 2 –4                                                1                 Def nition of negative

                 D. 2 –5                                              (-4) 2              exponent
                                                                                                  2
                                                                        1                 Find (–4) .
                  Answer                                               16

                                                                                           1
                                                                       Answer
                                                                                           16



                                                                   Your Turn!
                MO. 4 - L6b

                 Evaluating Numerical Expressions                  WEATHER

                       with Negative Exponents                     Fog is composed of cloud droplets with a
                                                                   diameter of 0.00001 meter. Write the decimal
                                                                   as a fraction and as a power of ten.

                                                                         1
                         Let’s Begin                               A.  10,000  ; 10  -4


                                                                   B.    1     ; 10  -5
                                                                       10,000
               REAL WORLD EXAMPLE                                        1        -5
                                                                   C.          ; 10
                ATOM                                                  100,000

                An atom is an incredibly small unit of matter. The       1     ; 10  -6
                                               1                   D.   100,000
                smallest atom has a diameter of           approxi-
                                               10
                mately of a nanometer, or 0.0000000001  meter.
                                                                     Answer
                Write the decimal as a fraction and as a power of
                10.
                                                                  Algebraic Expressions with Negative Exponents
                                      1        Write the                     –3
                0.0000000001=                                      Evaluate d   if d = 5.
                               10,000,000,000 decimal as
                                               a fraction.
                                                                   A. 125
                                 1                         10          1
                             =         10,000,000,000 = 10         B.   15
                                10 10                                  1
                                                                   C.
                                                                      125

                   Answer      10  -10  Def nition of negative     D. –125
                                       exponent
                                                                     Answer


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