Comparisons w/ Scientific Notation

​Comparisons with Scientific Notation

Module 2 Section 2​

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Multiple Choice

Mixed Review: $$10^3=\ ?$$  

• 1000

• 100

• 10000

• 30

Multiple Choice

Mixed Review: Write the expression in scientific notation $$7110000000=\ ?$$  

• $$0.711\cdot10^{10}$$  

• $$71.1\cdot10^8$$  

• $$7.11\cdot10^9$$  

• $$711\cdot10^7$$  

Multiple Choice

Mixed Review: Write the expression in standard notation $$2.89\cdot10^6=\ ?$$  

• 2890000 

•  290000

•  289000000

•  28900000

Multiple Choice

Preview Q: Which sign makes the statement true? $$544000\ \left[\ \ \ \ \right]\ 5.44\cdot10^5$$  

• =

• >

• <

• None of the Above

Steps:

• Put them in the same form.​

• Either compare their exponents if in scientific or their digits if in standard.

​

​Some text here about the topic of discussion.

​Comparing Terms in Scientific Notation

​

Open Ended

How could I compare $$2.61\cdot10^8$$  and $$261,111,000$$  ?

• Convert 4.27⋅​10⁴

• ​Move the decimal right 4 places.

• Add zeros.

• Result: 42,700​

​Convert both to Standard

• Convert 42,681.

• Move the decimal left 4 places.

• Round to two decimal places.

• Result: 4.27⋅​10⁴

​Convert both to Scientific

​Example: Compare: 4.27 ⋅10⁴ & 42,681

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Multiple Choice

Compare: $$8.33\cdot10^3\ \ \left[\ \ \ \right]\ \ 833000$$  

• =

• <

• >

• None of the Above

Multiple Choice

Compare: $$4.54\cdot10^9\ \ \left[\ \ \ \right]\ \ 454,000,000$$  

• =

• <

• >

• None of the Above

• Convert 3.21⋅​10⁻³

• ​Move the decimal left 3 places.

• Add zeros.

• Result: 0.00321

​Convert both to Standard

• Convert 0.000321

• Move the decimal right 4 places.

• Result: 3.21⋅​10⁻⁴

​Convert both to Scientific

​Example: Compare: 3.21⋅10⁻³ & 0.000321

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Open Ended

What did you notice that is different about comparing very small numbers?

Multiple Choice

Compare: $$1.8\cdot10^{-5}\ \ \left[\ \ \ \right]\ \ 0.0000018$$  

• =

• <

• >

• None of the Above

Multiple Choice

Compare: $$8\cdot10^{-1}\ \ \left[\ \ \ \right]\ \ 1$$  

• =

• <

• >

• None of the Above

Open Ended

Describe what we learned about today in exactly 8 words