Negative and Fractional Exponents Lesson Slides: 8 Slides

8 Slides • 4 Questions

1

Negative exponents with fraction review

2

Fractions Review!

$\frac{1}{10}$ can be shown as a fraction:

All 10 pieces add up to 1 whole shape

3

We can also represent $\frac{1}{10}$ as 0.1

Why?

4

5

Hundredths are smaller than tenths

Breaking into 100 pieces gives smaller pieces than breaking into 10 pieces

6

Negative exponents are used to represent fractions

$10^{-1}=\frac{1}{10^1}=\frac{1}{10}$

(negative exponents are positive fractions!)

7

Negative exponents are positive fractions

$10^{-4}=\frac{1}{10^4}$
$5^{-3}=\frac{1}{5^3}$
$10^{-16}=\frac{1}{10^{16}}$
What's the pattern?

8

Multiple Choice

What is

10^{-2}\

as a fraction?

1

$\frac{1}{10^2}$

2

$\frac{1}{10^{-2}}$

3

$\frac{10^2}{1}$

9

Multiple Choice

What is

10^{-5}\

as a fraction?

1

$\frac{1}{10^{-5}}$

2

$\frac{1}{10^5}$

3

$-10^5$

10

Multiple Choice

What is

5^{-7}

as a fraction?

1

$\frac{1}{5^{-7}}$

2

$\frac{1}{5^7}$

3

$\frac{5^7}{1}$

11

Writing negative exponents as decimals

12

Open Ended

How do we write

\frac{1}{100}

as a decimal?

Type response here

Negative exponents with fraction review

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