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Warm up 1. 2 • 2 • 2 = 2. 3 • 3 • 3 • 3 = 3. 5 • 5 • 5 = 4. 4 • 4 • 4 = 5. You have just installed a water pond in your backyard. You intend to place water lilies in the pond. According to the package a water lily doubles in size every day. From the time you install the first lily until the entire surface of the pond is covered will take 20 days. How long will it take the pond to be half covered?

Warm up 1. 2 2 2 = 2. 3 3 3 3 = 3. 5 5 5 = 4. 4 4 4 = 5. You have just installed a water pond in your backyard. You intend to place water lilies in the

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Page 1: Warm up 1. 2 2 2 = 2. 3 3 3 3 = 3. 5 5 5 = 4. 4 4 4 = 5. You have just installed a water pond in your backyard. You intend to place water lilies in the

Warm up1. 2 • 2 • 2 =2. 3 • 3 • 3 • 3 =3. 5 • 5 • 5 =4. 4 • 4 • 4 =5. You have just installed a water pond in your

backyard. You intend to place water lilies in the pond. According to the package a water lily doubles in size every day. From the time you install the first lily until the entire surface of the pond is covered will take 20 days. How long will it take the pond to be half covered?

Page 2: Warm up 1. 2 2 2 = 2. 3 3 3 3 = 3. 5 5 5 = 4. 4 4 4 = 5. You have just installed a water pond in your backyard. You intend to place water lilies in the

Exponents 7th Grade Mathematics

Today we will represent numbers by using exponents

Page 3: Warm up 1. 2 2 2 = 2. 3 3 3 3 = 3. 5 5 5 = 4. 4 4 4 = 5. You have just installed a water pond in your backyard. You intend to place water lilies in the

VocabularyLook up the following terms and write their

definitions in your notebook.

1. power2. exponent3. base

Page 4: Warm up 1. 2 2 2 = 2. 3 3 3 3 = 3. 5 5 5 = 4. 4 4 4 = 5. You have just installed a water pond in your backyard. You intend to place water lilies in the

Evaluating powers Find each value.

A. 52 F. 112

B. 26 G. 83

C. 44 H. 51

D. 73 I. 23

E. 34 J. 30

Page 5: Warm up 1. 2 2 2 = 2. 3 3 3 3 = 3. 5 5 5 = 4. 4 4 4 = 5. You have just installed a water pond in your backyard. You intend to place water lilies in the

Recall Any number to the first power is equal to that

number.Example: 61 = 6 131 = 13 251

= 25 Any number to the zero power, except zero, is equal to 1.

Example: 60 = 1 100 = 1

190 = 1

Page 6: Warm up 1. 2 2 2 = 2. 3 3 3 3 = 3. 5 5 5 = 4. 4 4 4 = 5. You have just installed a water pond in your backyard. You intend to place water lilies in the

Find each value.

1. 22 + 25

2. 34 + 33

3. 62 + 60

4. 33 + 42 - 51

Page 7: Warm up 1. 2 2 2 = 2. 3 3 3 3 = 3. 5 5 5 = 4. 4 4 4 = 5. You have just installed a water pond in your backyard. You intend to place water lilies in the

Real-World Example On Monday, Erik tells 3 people a

secret. The next day each of them tells 3 more people. If this pattern continues, how many people besides Erik will know the secret?

Page 8: Warm up 1. 2 2 2 = 2. 3 3 3 3 = 3. 5 5 5 = 4. 4 4 4 = 5. You have just installed a water pond in your backyard. You intend to place water lilies in the

Write Describe the relationship between 35

and 36.

Answer: The value of 36 is 3 times the value of 35 . 36 = 729 and 35 = 243.

Page 9: Warm up 1. 2 2 2 = 2. 3 3 3 3 = 3. 5 5 5 = 4. 4 4 4 = 5. You have just installed a water pond in your backyard. You intend to place water lilies in the

Write

Is 25 greater than or less than 33? Explain your answer.

Page 10: Warm up 1. 2 2 2 = 2. 3 3 3 3 = 3. 5 5 5 = 4. 4 4 4 = 5. You have just installed a water pond in your backyard. You intend to place water lilies in the

Write (Journal)

Think about how exponents can be used to write large numbers more efficiently. Write an explanation about why this is useful and give examples to show the efficiency of this method.

Page 11: Warm up 1. 2 2 2 = 2. 3 3 3 3 = 3. 5 5 5 = 4. 4 4 4 = 5. You have just installed a water pond in your backyard. You intend to place water lilies in the

Homework Textbook p. 62 (10-21; 36-44)