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NS 1.3*((
Understand
and compute positive integer powers of nonH[SRQHQWV
UNDERLYING SKILLS AND CONCEPTS:
negative integers; compute examples as repeated
multiplication.
use basic multiplication facts;
multiply 3 factors
Use Exponents
I am
getting
tired
of writing
"2
Exponents show the number of times
a factor is repeated.
The square of a number is the
number multiplied by itself.
3
The area of a square is always
a square number.
Say, “3 squared ! 3 " 3 = 9.”
Write 32.
3
Do like me.
Count the
number
of 2's,
and write an
exponent.
The cube of a number is the number
multiplied by itself, twice.
You use cube numbers when
you find the volume of a cube.
2
2
2
Expo
To find the cube of 2: 2 " 2 " 2 ! 8.
Write 23.
Say, “2 cubed ! 2 " 2 " 2 ! 4 " 2 ! 8.”
1
4
Find the square and the cube of the number 4.
! 16
The square of 4 = 42 = 4 " 4
The cube of 4
= 43 = 4 " 4 " 4 ! 64
So, 42 ! 16, and 43 = 64.
4
4
4
E x am p l E
2
4
Find the square and the cube of the number 10.
The square of 10 = 102 = 10 " 10
! 100
3
=
The cube of 10
= 10
10 " 10 " 10 ! 1,000
So, 102 ! 100, and 103 ! 1,000.
Can you guess what is 104?
104 = 10 " 10 " 10 " 10 ! 10,000
In general, 10n is a 1 followed by n 0’s.
page 90
Is this
gray
number
square?
(no)
(no)
Chapter 8 – Lesson 3
E – © CSL Associates, Inc. All rights reserved.
E x am p l E
42 !
4 " 4 !16
Name
P RAC T I C E
Write each exponential expression as a multiplication problem. Then find the product.
2. the square of 11
11 11 121
1. 23
2228
3. 102
10 10 100
5. 52
5 5 25
7. 53
5 5 5 125
9. 82
8 8 64
11. 73
7 7 7 343
13. 113
11 11 11 1,331
6 6 6 216
4. the cube of 6
12 12 144
6. 12 squared
8. the cube of 9
9 9 9 729
10. 4 cubed
4 4 4 64
12. 23 squared
23 23 529
14. 0 cubed
0000
Write each exponential expression as a multiplication problem. Find each product. Then add.
15. 22 42 (2 2) (4 4) 4 16 20
16. 32 52 (3 3) (5 5) 9 25 34
17. 31 32 33 3 (3 3) (3 3 3) 3 9 27 39
Solve.
E – © CSL Associates, Inc. All rights reserved.
18. A box measures 12 inches wide, 12 inches long, and 12 inches deep.
What is the area of one of the faces of the box?
12 12 144 square inches
19. A box measures 5 inches wide, 5 inches long, and 5 inches deep.
What is the volume of the box?
5 5 5 125 cubic inches
Circle the correct choice.
20. Which expression is NOT equal to 72 ?
A
B 77
72
Math
Reasoning
C
49 0
D
Squares and Cubes
56 7
MR 2.3, 3.3
21. Is there a number that when either squared
or cubed gives the same answer?
Explain your thinking.
Chapter 8 – Lesson 3
Yes, 0, or 1.
12 1; 13 1. Also: 02 0; 03 0.
page 91
MCX94.HW.CL.G5.FM&Lesson.v211
8/2/04
18:02
Page 62
Name
…at home!
P RAC T I C E
Write each exponential expression as a multiplication problem. Then find the product.
2. the square of 14
14 14 196
1. 103 10 10 10 1,000
3. 122
12 12 144
5. 32
339
7. 43
4 4 4 64
9. 72
7 7 49
11. 63
13. 93
8 8 8 512
4. the cube of 8
6. 16 squared
16 16 256
8. the cube of 0
0000
10. 6 cubed
6 6 6 216
6 6 6 216
12. 32 squared
32 32 1,024
9 9 9 729
14. 5 cubed
5 5 5 125
Write each exponential expression as a multiplication problem. Find each product. Then add.
15. 32 42 (3 3) (4 4) 9 16 25
16. 52 62 (5 5) (6 6) 25 36 61
17. 41 42 43 4 (4 4) (4 4 4) 4 16 64 84
Solve.
E – © CSL Associates, Inc. All rights reserved.
18. A box measures 11 inches wide, 11 inches long, and 11 inches deep.
What is the area of one of the faces of the box?
11 11 121 square inches
19. A box measures 7 inches wide, 7 inches long, and 7 inches deep.
What is the volume of the box?
7 7 7 343 cubic inches
Circle the correct choice.
20. Which expression is NOT equal to 62 ?
A
62
Math
Reasoning
B 66
C
D
36
Squares and Cubes
42 6
MR 2.3, 3.3
21. Is there more than one number that when either squared
or cubed gives the same answer?
Explain your thinking.
page 62
Yes, 0, or 1.
12 1; 13 1. Also: 02 0; 03 0.
Home Resource and Homework
Chapter 8 Lesson 3
MCX94TEG5CH01_32.v7.4.2 2/24/01 19:44 Page 169
Name
P RAC T I C E
Write each exponential expression as a multiplication problem. Then find the product.
2. the square of 11
11 11 121
1. 23
2228
3. 102
10 10 100
5. 52
5 5 25
7. 53
5 5 5 125
9. 82
8 8 64
11. 73
7 7 7 343
13. 113
11 11 11 1,331
6 6 6 216
4. the cube of 6
12 12 144
6. 12 squared
8. the cube of 9
9 9 9 729
10. 4 cubed
4 4 4 64
12. 23 squared
23 23 529
14. 0 cubed
0000
Write each exponential expression as a multiplication problem. Find each product. Then add.
15. 22 42 (2 2) (4 4) 4 16 20
16. 32 52 (3 3) (5 5) 9 25 34
17. 31 32 33 3 (3 3) (3 3 3) 3 9 27 39
Solve.
E – © CSL Associates, Inc. All rights reserved.
18. A box measures 12 inches wide, 12 inches long, and 12 inches deep.
What is the area of one of the faces of the box?
12 12 144 square inches
19. A box measures 5 inches wide, 5 inches long, and 5 inches deep.
What is the volume of the box?
5 5 5 125 cubic inches
Circle the correct choice.
20. Which expression is NOT equal to 72 ?
A
B 77
72
Math
Reasoning
C
49 0
D
Squares and Cubes
56 7
MR 2.3, 3.3
21. Is there a number that when either squared
or cubed gives the same answer?
Explain your thinking.
Chapter 8 – Lesson 3
Yes, 0, or 1.
12 1; 13 1. Also: 02 0; 03 0.
Student Book Page
page 91
Name
…at home!
P RAC T I C E
Write each exponential expression as a multiplication problem. Then find the product.
2. the square of 14
14 14 196
1. 103 10 10 10 1,000
3. 122
12 12 144
5. 32
339
7. 43
4 4 4 64
9. 72
7 7 49
11. 63
13. 93
8 8 8 512
4. the cube of 8
6. 16 squared
16 16 256
8. the cube of 0
0000
10. 6 cubed
6 6 6 216
6 6 6 216
12. 32 squared
32 32 1,024
9 9 9 729
14. 5 cubed
5 5 5 125
Write each exponential expression as a multiplication problem. Find each product. Then add.
15. 32 42 (3 3) (4 4) 9 16 25
16. 52 62 (5 5) (6 6) 25 36 61
17. 41 42 43 4 (4 4) (4 4 4) 4 16 64 84
Solve.
E – © CSL Associates, Inc. All rights reserved.
18. A box measures 11 inches wide, 11 inches long, and 11 inches deep.
What is the area of one of the faces of the box?
11 11 121 square inches
19. A box measures 7 inches wide, 7 inches long, and 7 inches deep.
What is the volume of the box?
7 7 7 343 cubic inches
Circle the correct choice.
20. Which expression is NOT equal to 62 ?
A
62
Math
Reasoning
B 66
C
D
36
Squares and Cubes
42 6
MR 2.3, 3.3
21. Is there more than one number that when either squared
or cubed gives the same answer?
Explain your thinking.
page 62
Yes, 0, or 1.
12 1; 13 1. Also: 02 0; 03 0.
Home Resource and Homework
Chapter 8 Lesson 3