Integer Exponents

1
Integer Exponents

• We are learning tosimplify expressions that
  contain both positive and negative exponents.
• Thursday, January 09, 2014

2
Vocabulary
Base
(the Big number)
Exponent
Write the expressions below in standard form
with your teammates. Be ready to share your
results with the class.
Tell us how many times to multiply the base by
itself!
3
Make a prediction

• With your teampredict what is when
  written in standard form.
• Justify your solution using mathematical
  reasoning.

4
Follow the pattern to determine the solution to
2-3!
________
________
Pattern Divide the previous number in standard
form by the base (2).
________
________
Do you see a connection between positive
exponents and negative exponents?
________
________

• The denominator of fraction of a negative
  exponent is the same number as standard form when
  the exponent is positive.

________
________
________
________
________
___________
5
Follow the pattern to determine the solution to
10-5!
________
________
Pattern Divide the previous number in standard
form by the base (10).
________
________
Do you see a connection between positive
exponents and negative exponents?
________
________

• The standard form of a negative exponent is the
  reciprocal (the number upside down) of the
  standard form of the positive exponent.

________
________
________
________
___________
6
Team Reflection and Practice

• With your teammates brainstorm of ideas of ways
  that we can find the value of integer exponents
  in standard form without making a list and
  following a pattern.
• Raise your hand and have your teacher check your
  responses to the refection.
• After checking with your teacher complete the
  Team Practice.