Scientific Notation

​ Math

Scientific Notation

8th Grade
Mr. LaCroix

Multiple Choice

Which of the following numbers is written in scientific notation?

• 20.35 x 10⁴

• .2035 x 10⁴

• 2035 ⁴

• 2.035 x10⁴

Multiple Choice

Express the following in scientific notation:

.000457

• 457 x 10⁶

• 457 x 10^-6

• 4.57 x10⁴

• 4.57 x 10^-4

Multiple Choice

Convert to scientific notation:

520,000,000

• 52 x 10⁷

• 5.2 x 10^-7

• 5.2 x 10⁸

• 0.52 x 10⁹

Multiple Choice

What is scientific notation?

• A long way to write really short numbers

• A short way to write really large or really small numbers

• I don't know...

• None of the above

Multiple Choice

If the exponent is a positive number the original number was...

• a really big number.

• a really small number.

Multiple Choice

If the exponent is a negative number the original number was...

• a really large number.

• a really small number.

Fill in the Blank

Convert this number to standard notation:

7.1 x 10⁴

,

Multiple Choice

Convert this number into scientific notation:

0.068

• 6.9 x 10⁶

• 6.8 x 10^-9

• 6.8 x 10^-2

• None of the above

Fill in the Blank

Convert this number to standard notation:

1.4 x 10^-2

Multiple Choice

Convert this number into scientific notation:

950,000

• 9.5 x 10⁵

• 9.5 x 10^-9

• 9.5 x 10²

• None of the above

Introduction to Scientific Notation

Math 8

Please make sure you read assignment directions!

Reminders

Notation and Rules

Multiple Choice

How would you write 5 * 5 * 5 * 5

• $$5^4$$

• $$5\ \cdot5\$$

• $$5^1$$

• $$25\ \cdot\ 5$$

Solving the problem: How do we handle big numbers?

• How could we write 860?

• How could we write 8600?

• How could we write 86000?

• How could we write 860000?

The Rules

• Writing Numbers in Standard Form. The absolute value of the exponent indicates how many places to move the decimal point.

• If the exponent is negative, move the decimal point to the left.

• If the exponent is positive, move the decimal point to the right.

Fill in the Blank

$$10^1=10$$
$$10^2=100$$  

$$10^3=?$$  

Fill in the Blank

$$10^{-1\ }=\ 0.1$$  
$$10^{-2}=0.01$$  
$$10^{-3}=?$$  

Fill in the Blank

$$6.5\cdot10^1=65$$  
$$6.5\cdot10^2=650$$  
$$6.5\cdot10^3=6500$$  
$$6.5\cdot10^4=$$  

Fill in the Blank

$$6.5\cdot10^{-1}=0.65$$  
$$6.5\cdot10^{-2}=0.065$$  
$$6.5\cdot10^{-3}=0.0065$$  
$$6.5\cdot10^{-4}=\ ?$$  

Multiple Choice

Convert to scientific notation:

520,000,000

• 52 x 10⁷

• 5.2 x 10⁷

• 5.2 x 10⁸

• 0.52 x 10⁹

Multiple Choice

How would you write 0.0005 in scientific notation?

• 50 x 10^-5

• 5 x 10^-4

• 5 x 10³

• .5 x 10³

Poll

How would you rate your understanding of this lesson?

• Completely understood it (4)

• Got most of it (3)

• Had some difficulty (2)

• Struggled (1)

Scientific Notation

8th Grade Math – Unit 3; Day 4

Supplemental Resources

ENGAGE -
Text to Speech

Today, most people use abbreviations and
acronyms in their normal and social media
chatting.

Determine what each abbreviations and
acronyms stand for.

Why do people use abbreviations

and acronyms when texting,

updating a status, commenting,

or sharing pictures/videos on

social media sites?

​

​

ENGAGE -
Text to Speech

Today, most people use abbreviations and
acronyms in their normal and social media
chatting.

Determine what each abbreviations and
acronyms stand for.

Why do people use abbreviations

and acronyms when texting,

updating a status, commenting,

or sharing pictures/videos on

social media sites?

I will be able to convert between standard decimal

notation and scientific notation.

Today’s Objective

DEVELOP

DEVELOP -
Introduction to Scientific Notation

Scientific Notation is a way of writing a very large or
very small numbers in an abbreviated form.

DEVELOP -
Scientific Notation to Standard

7.1 x 101
7.1 x 102

Evaluate each expression below.

7.1 x 103

7.1 x 10-1
7.1 x 10-2
7.1 x 10-3

DEVELOP -
Scientific Notation to Standard

7.1 x 101

7.1 x 10-1

DEVELOP -
Scientific Notation to Standard Form

Write the number in standard form.

DEVELOP -
Scientific Notation to Standard Form

Write the number in standard form.

DEVELOP -
Scientific Notation to Standard Form

Write the number in standard form.

DEVELOP -
Scientific Notation to Standard Form

Write the number in standard form.

DEVELOP -
Scientific Notation to Standard Form

Write the number in standard form.

DEVELOP -
Standard Form to Scientific Notation

Write the number in scientific notation.

DEVELOP -
Standard Form to Scientific Notation

Write the number in scientific notation.

DEVELOP -
Standard Form to Scientific Notation

Write the number in scientific notation.

DEVELOP -
Standard Form to Scientific Notation

Write the number in scientific notation.

Lesson Summary…

DEMONSTRATE

1.

DEMONSTRATE

2.

DEMONSTRATE

3.

DEMONSTRATE

4.

EXIT TICKET

1.

EXIT TICKET

2.

EXIT TICKET

3.

EXIT TICKET

4.

Extra Practice