SECOND QUARTER

​SECOND QUARTER

Exponents and Exponential Notation

Objectives: At the end of the lesson, you should be able to...

i. identify the exponent and the base in a number expressed in exponential notation;

ii. converts exponential form to expanded form and vice versa;

iii. gives the value of numbers expressed in exponential notation;

iv. solves mathematical problems and real-life situations involving exponential notation, and;

v. shows self reliance when working independently.​

Open Ended

Cindy saved Php 2.00 on Monday, Php 4.00 on Tuesday, Php 8.00 on Wednesday, Php 16.00 on Thursday, and so on. If the pattern continues, how much will she save on Sunday? How much will her total savings in that week?

What do you observe in the pattern?

We can write this as follow:​

Monday: 2¹ = 2 Friday:2⁵ = 32

Tuesday:2² = 4 Saturday:2⁶ = 64

Wednesday:2³ = 8 Sunday:​2⁷ = 128

Thursday:2⁴ = 16

​

Cindy will save a total of Php 254.00.​

Subject | Subject

Some text here about the topic of discussion

Definition 1.1: An exponent is used to express the number of times a value is multiplied to itself. The value being multiplied is called the base. The exponent is written in the upper right of the base.

2 raised to the sixth power.

Solution:

2 x 2 x 2 x 2 x 2 x 2 = 64

Note that if multiplication is repeated addition, exponent on the other hand, is repeated multiplication.

​ADDITION	​MULTIPLICATION	​EXPONENT
​2 + 2 = 4	​2 X 2 = 4	​2
​4 + 4 = 8	​2 X (2 X 2) = 8	​2
​8 + 8 = 16	​2 X (2 X 2 X 2) = 16	​2

#MoreExamples

Multiple Choice

In 2³, which is the base?

• 2

• 3

Multiple Choice

In 2³, which is the exponent?

• 2

• 3

Multiple Choice

In 3⁴, which is the base?

• 3

• 4

Multiple Choice

In 3⁴, which is the exponent?

• 3

• 4

In 5x5x5x5x5x5x5, how will you write it in exponential form?

Base = 5 ; Exponent = 7

Exponential Form = 5⁷ or 5^7

Standard Form =​ 78125

In 9 * 9 * 9 * 9 * 9, how will you write it in exponential form?

Base = 9 ; Exponent = 5

Exponential Form = 9⁵

9⁵ = 59 049