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Name
LESSON
Date
Class
Practice A
1-3 Exponents
Name the base and the exponent for each of the following.
1. 72
2. 54
3. 68
base
base
base
exponent
exponent
exponent
4. 59
5. 107
6. 43
base
base
base
exponent
exponent
exponent
Write using exponents.
7. 4 • 4
10. 5 • 5 • 5 • 5
8. 2 • 2 • 2
9. 10 • 10
11. 3 • 3 • 3 • 3
12. 8 • 8 • 8 • 8 • 8
Write as repeated multiplication.
13. 62
14. 53
15. 103
16. 94
17. 25
18. 36
19. How many different ways can you use the digits 3 and 5 to write
expressions in exponential form? What are the expressions?
20. What do the following two expressions have in common?
“three to the second power” and “three squared”
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Holt Middle School Math Course 1
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Puzzles, Twisters & Teasers
1-2 The Great Race
Problem Solving
1-2 Estimating with Whole Numbers
LESSON
LESSON
Use the table below to answer each question.
Sam and Lloyd are bicycle racing around Europe starting in Lisbon,
Portugal. The race rules state that Sam and Lloyd must each travel
a different route between cities. The final distances between cities
for both Sam and Lloyd are listed below.
Facts About the World’s Oceans
Ocean
Area (square mi)
Arctic
5,108,132
18,456
1. For each city, round the distance for each biker to the nearest 100.
Atlantic
33,424,006
30,246
2. Add the distance to the bikers’ totals.
Indian
28,351,484
24,460
Pacific
64,185,629
35,837
3. The race winner is the biker who completes the race with the
lowest total distance (rounded to the nearest 100 miles).
1. If the depths of all the oceans were
rounded to the nearest ten thousand,
which two oceans would have the
same depth?
Greatest Depth (ft)
4. As an added bonus, at each city an alphabet letter accompanies
each racer’s total. Put the letter from the winning racer at each
city into the blanks below to solve the riddle. For example, Sam
traveled a total of 300 miles to Madrid and Lloyd traveled a total
of 400 miles. So write the “a” from Sam’s total box in the first
blank in the riddle.
2. In 1960, scientists observed sea
creatures living as far down as thirty
thousand feet. In which ocean(s)
could these creatures have lived?
Arctic and Indian
Pacific and Atlantic
3. Which ocean covers about thirty-five
million square miles?
4. Which ocean’s depth is closest
to twenty thousand feet?
Atlantic
Arctic
5. If you wanted to compare the depths
of the Pacific Ocean and the Atlantic
Ocean, which place value would you
use to estimate?
6. The oceans cover about three-fourths
of Earth’s surface. Estimate the total
area of all the oceans combined by
rounding to the nearest million.
thousands
about 130 million sq. mi
7. There are 5,280 feet in a mile. About
how many miles deep is the deepest
point in the Pacific Ocean?
8. Rounding to the greatest place value,
about how much larger is the Indian
Ocean than the Arctic Ocean?
about 7 miles
about 25 million sq. mi
9. The Atlantic Ocean is about 40 times
larger than the world’s largest island,
Greenland. Use this information to
estimate the area of Greenland.
10. About how much larger would the
Pacific Ocean have to be to have
more area than the other three
oceans combined?
about 800,000 sq. mi
Sam’s
Route
Distance
Origin City
Sam’s Total
Lloyd’s Total
0
0
Lisbon, Portugal
300
700
a
Madrid, Spain
345
380
Paris, France
742
795
London, England
350
140
t
Brussels, Belgium
251
249
e
Berlin, Germany
413
357
f
Vienna, Austria
346
449
k
Athens, Greece
710
854
Rome, Italy
538
587
1,171
1,046
Lisbon, Portugal
about 2 million sq. mi
Lloyd’s
Route
Distance
700
500
r
100
200
400
400
e
e
a
p
p
g
a
i
1,000
r
Lloyd
AND THE WINNER IS:
o
p
l
!
Riddle: What do you call a gorilla with a banana?
a
An
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All rights reserved.
23
Holt Middle School Math Course 1
p
e
a
with
p
p
e
24
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Exploration Recording Sheet
1-3 Exponents
a
l
!
Holt Middle School Math Course 1
Practice A
1-3 Exponents
LESSON
LESSON
1. Maria won the grand prize on a game show. She will be given
$2 the first month, $4 the second month, $8 the third month, and
so on as her payment is doubled each month for one year.
a. Complete the table.
b. How much will Maria receive in the fifth month?
$32
c. How much will Maria receive in the eighth
month?
1. 72
Month
Amount ($)
1
2
2
4
3
8
4
16
32
64
128
256
5
6
$256
Name the base and the exponent for each of the following.
7
8
2. 54
7
base
3. 68
5
base
2
exponent
4
exponent
9
3
5. 10
5
base
6. 4
10
base
9
exponent
8
exponent
7
4. 5
6
base
7
exponent
4
base
3
exponent
Write using exponents.
d. Use a calculator to determine how much Maria will receive in the last month of
the year.
7. 4 • 4
8. 2 • 2 • 2
42
$4096
23
10. 5 • 5 • 5 • 5
Think and Discuss
9. 10 • 10
11. 3 • 3 • 3 • 3
4
102
12. 8 • 8 • 8 • 8 • 8
4
5
85
3
2. Describe the pattern in the table.
Write as repeated multiplication.
Possible answer: The month numbers increase by 1 and the dollar
13. 62
14. 53
15. 103
amount doubles.
6•6
5•5•5
16. 94
3. Explain how the values in the table compare with the
values 2, 22, 23, 24, and so on.
17. 25
9•9•9•9
Possible answers: The values in the amount column are the
10 • 10 • 10
18. 36
2•2•2•2•2
3•3•3•3•3•3
19. How many different ways can you use the digits 3 and 5 to write
expressions in exponential form? What are the expressions?
values of 2n, where n is the number of the week.
two ways; 35 and 53
20. What do the following two expressions have in common?
“three to the second power” and “three squared”
They both mean 3 • 3, or 32.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
26
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Middle School Math Course 1
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
86
27
Holt Middle School Math Course 1
Holt Middle School Math Course 1