MTH1W Unit 1
Powers and Scientific Notation
A power represents a
raised to
ample, in 34 , 3 is the
, and 4 is the
represents the
. For ex. 4
3
. For
example, let’s evaluate 34 .
Decreasing the power of 34 by 1 is the same as
Power
34 by
.
Value
33
32
31
30
3−1
3−2
3−3
When the exponent is zero, the result is
, as long as the base is
When the exponent is negative, the result is the
.
of the power
with
.
***Try question 13 in the handout.***
Scientific notation is used to represent
numbers and takes advantage of base
Power
or
.
Value
1.13 × 103
1.13 × 102
1.13 × 101
1.13 × 10−1
1.13 × 10−2
1.13 × 10−3
Multiplying by a power of 10 with a positive exponent is the same as moving the
decimal to the
. Multiplying by a power of 10 with a negative
exponent is the same as moving the decimal to the )0.15mm
scientific notation, the number in front is
***Try questions 23 and 24 in the handout.***
. In
.