Powers of Ten
Power
Expanded Form
Learning Target 7.1a:
The student will investigate and
describe the concept of negative
exponents for powers of ten.
Standard/Decimal
Form
Fraction Form
104
103
102
101
100
10-1
10-2
10-3
10-4
10-5
1. As the exponent decreases, the number gets _______________________ and
the decimal moves to the _____________________.
2. As the exponent increases, the number gets ________________________ and
the decimal moves to the _____________________.
3. What does a negative exponent mean when the base is ten?
YOU TRY IT!
1. Use an exponent to write an equivalent expression:
10 x 10 x 10 x 10 x 10 x 10 x 10 = ___________
2. Write 10-7 as a fraction. _____________
3. Write 10-7 in expanded form. ____________________________________
4. Select all that are equivalent to 10-5
−𝟏
𝟏𝟎
.00001
-.00001
𝟏
𝟏𝟎𝟎, 𝟎𝟎𝟎
-10 • -10 • -10 • -10 • -10
−𝟏
𝟏𝟎
•
−𝟏
𝟏𝟎
−𝟏
• 𝟏𝟎 •
−𝟏
𝟏𝟎
•
−𝟏
𝟏𝟎
5. Consider 10-2. Use the given numbers to find an equivalent fraction and
decimal.
Fraction
𝟏
𝟏𝟎𝟎
𝟏
𝟐𝟎𝟎
−𝟏
𝟏𝟎𝟎
−𝟏
𝟐𝟎𝟎
Decimal
-.01
.02
-.02
.01
6. A) Write 103 in standard form ____________________
B) Write 10-3 as a fraction _____________________
C) What vocabulary word describes 103 and 10-3? _____________________
D) Which is greater: 10-3 or 1%?