1. Course 3, Lesson 1-5
Use the four-step plan to solve each problem.
1. The Academic Boosters expect 475 people at the annual awards
banquet. If each table seats 6 people, how many tables are needed?
2. Kelsey was making treat bags for her classmates. She has already
made dozen bags. If she wants to have a treat bag for each of the
29 students in her class, how many more should she make?
3. Mrs. Bowman spent $110 to rent a popcorn machine for the school
carnival and $75 to buy popcorn, oil, and other supplies. If she sold
263 bags of popcorn for $1.50 each, how much money did she
make after paying for the machine and the supplies?
1
1
2
5. To
• use negative exponents,
• multiply and divide powers
using negative exponents
Course 3, Lesson 1-5
The Number System
6. Course 3, Lesson 1-5
The Number System
Words Any nonzero number to the zero power is 1. Any nonzero
number to the negative n power is the multiplicative inverse
of its nth power.
Numbers Algebra
Examples 05 1
3
or
-3 1 1 1 17
7 7 7 7
0 1, 0x x
, - 0
1
n
n xx x
11. 1
Need Another Example?
Step-by-Step Example
3. Write the fraction as an expression using a
negative exponent other than –1.
= 5–2 Definition of negative exponent.
13. 1
Need Another Example?
2
Step-by-Step Example
4. Write the fraction as an expression using a
negative exponent other than –1.
= 6–2
Definition of exponent
Definition of negative exponent
15. 1
Need Another Example?
2
3
4
Step-by-Step Example
5. One human hair is about 0.001 inch
in diameter. Write the decimal as a power of 10.
= 10–3
1,000 = 103
Definition of negative exponent
0.001 = Write the decimal as a fraction.
=
A human hair is 10–3 inch thick.
21. How did what you learned
today help you answer the
WHY is it helpful to write numbers in
different ways?
Course 3, Lesson 1-5
The Number System
22. How did what you learned
today help you answer the
WHY is it helpful to write numbers in
different ways?
Course 3, Lesson 1-5
The Number System
Sample answers:
• You can use a negative exponent to write very small
numbers without using a fraction.
• You can easily multiply or divide very large and very
small numbers with the same bases.
23. Write the following expressions
using a positive exponent:
3t−5
Ratios and Proportional RelationshipsThe Number System
1
r-2
Course 3, Lesson 1-5