Scientific Notation

Scientific Notation

by Kevvin Hankins

​Bellringer

​How do you shorten Avenue, Boulevard, and Street.

​

​How do you expand Ms., Mrs. and Mr.?

Multiple Choice

How do you shorten/abbreviate Avenue?

• Avu

• Aev

• Aue

• Ave.

Multiple Choice

How do you shorten Boulevard?

• Bo

• BLVD

• BD

• BVD

Multiple Choice

How do you shorten/abbreviate street?

• St.

• Str

• Street

• Seet

Multiple Choice

How do you expand Mr.?

• Miss

• Ma'Dam

• Sir

• Mister

Multiple Choice

How do you expand/lengthen Mrs.?

• Miss

• Misses

• Ma'am

• Ma Dear

Multiple Choice

How do you expand Ms.?

• Mister

• Misses

• Miss

• Ma'Dea

​Did you know that you could also shorten numbers?

​It's called Scientific Notation.

​So what is scientific notation?

​Scientific Notation - a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power, as 1385.62 written as 1.386 × 10^3.

​

How do you create short versions of long numbers?

​Mathematicians and scientists are effective and efficient. They found out that by using powers of 10, they can create short versions of long numbers.

Thus, mathematicians use scientific notation to write extremely large and extremely small numbers. Scientific notation expresses a number in the following form: 137,000,000 can be rewritten as

1.37 X 10⁸

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Standard MGSE8.EE3

​Use numbers expressed in scientific notation to estimate very large or very small quantities, and to express how many times as much one is than the other.

​Learning Targets

​I can convert between standard and scientific notation.

​

​

Essential Questions?

​1. How do you convert from decimal notation to scientific notation?

​

​2. How do you convert from scientific notation to decimal numbers?

​

Scientific Notation

Multiple Select

What is scientific notation?

• A short way to write really small numbers

• A short way to write really large numbers

• I don't know...

• None of the above

Format

• The COEFFICIENT has a to be a value greater than 1, but also less than 10

• The BASE is always 10

• The EXPONENT tells us whether we move the decimal left (negative value) or the to the right (positive value) when converting from scientific notation to standard notation

Multiple Choice

The factor multiplied by a power of 10 in scientific notation needs to be greater than or equal to one but less than ___________?

• 1
• 10
• 100
• 1,000

Format

• Having this format is what allows us to convert any number in scientific notation into standard notation

Scientific Notation...

...is a short way to write really long numbers.

Scientific Notation

• 1st Number between 1 and 10

• 2nd Number base 10 With an exponent

Large Numbers will have Positive Exponents

Multiple Choice

If the exponent is a positive number...

• you will get a large number

• you will get a smaller number

Really Small Numbers will have Negative Exponents

Multiple Choice

If the scientific number has a negative exponent then ... 

• the number will be 0.

•  the number will be large.

• the number will be 1.

•  the number will be small.

Day 1: Converting numbers

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Multiple Choice

Change from standard/ form to scientific notation: 12,000,000

• 12.0  x  10⁷
• 0.12  x  10⁷
• 1.2  x  10⁶
• 1.2  x  10⁷

Multiple Choice

Change from standard/decimal form to scientific notation:  0.000398

• 39.8  x  10^-5
• 3.98  x  10^-5
• 3.98  x  10^-4
• 39.8  x  10^-6

Multiple Choice

Change from standard/decimal form to scientific notation:  450,000

• 4.5  x  10⁵
• 45  x  10⁵
• 4.5  x  10⁴
• 4.5  x  10⁶

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Multiple Choice

Try to change the number back to standard/decimal form:  6.79  x  10⁴

• 679,000
• 6,790
• 67,900
• 6,790,000

Multiple Choice

Try to change the number back to standard/decimal form: 3.97  x  10^-2

• 0.000397
• 0.0397
• 0.0000397
• 0.397

Poll

I feel like I understand scientific notation ________.

• really well!

• sort of.

• a little.

• not at all.

​Homework

​Khan Academy Scientific Notation

1. ​Go to Khan Academy.

2. Complete Khan Academy Scientific Notation.

3. ​Take a screenshot of your score.

4. ​Upload it to the Canvas assignment with the same name.

5. ​Complete the homework Quizizz that I assign in Canvas.