Transcript 7.1 Integer Exponents

7.1 Integer Exponents
Algebra 2.0
Thinking Map: Circle Map
Exponents
Integer Exponents
Negative Exponents
• Change all negative exponents to positive
exponents to simplify.
• Negative Exponents represent small numbers
like fractions and decimals.
• Negative are the opposite of positives, so to
change each one, treat it as a reciprocal.
• Example: 2-2 means 1/22 which equals 1/4
Ex 2- Zero & Negative Exponents
EXPONENTS AND PARENTHESES
• If a negative sign is INSIDE the parentheses,
then use it when you do the reciprocal.
• If a negative sign is OUTSIDE or doesn’t have
the parentheses, then it is NOT used with the
reciprocal (keep it on top).
Practice 2
Ex 1-Application
Practice 1
Ex 3 – Evaluating Expressions
Practice 3
NEGATIVE EXPONENTS
• To simplify negative exponents use
RECIPROCALS:
1) Identify any NEGATIVE EXPONENTS
2) FIND THE RECIPROCAL of each negative:
– Negative exponents on the top, move to the
bottom.
– Negative exponents on the bottom, move to the
top.
Ex 4 – Simplifying Expressions
• To simplify means to write the expression with
only positive exponents
Practice 4
Review
• What does a negative exponent represent?
• What does a number with a zero exponent
always equal?
• How do you know when to “take the negative”
each time you multiply? -3-2