Scientific Notation to Standard Form

Scientific Notation and Standard Form

Open Ended

How many stars are in the milky way?

100,000,000,000 stars

Open Ended

How long is a virus?

.00000007 meters in diameter

What do you notice about these real life numbers?

100, 000, 000, 000 stars

.00000007 meters

​

Lesson Objective

• I can identify proper scientific notation

• I can convert numbers from standard form to scientific notation and from scientific notation to standard form

• I can apply scientific notation to real life examples

​Essential Question:

​What is scientific notation and why is it used?

​Topic: Scientific Notation

Scientific Notation

Multiple Choice

Which of the following is correct scientific notation?

• 20.35 x 10⁴
• .2035 x 10⁴
• 2035 ⁴
• 2.035 x10⁴

Multiple Choice

Which number is correctly written in proper scientific notation?

• 5.67 x 10⁵

• 56.7 x 10³

• 0.567 x 10⁶

Multiple Select

What other concepts that we have looked at can we connect to scientific notation?

• using exponents

• using powers of 10

• estimating numbers

• solving equations

• square roots

Write it Down

Multiple Select

Check the boxes that show BIG numbers

• $$6.945\ \times10^5$$

• $$1.245\ \times10^{-2}$$

• $$3.6\times10^{-4}$$

• $$1.24\ \times10^{10}$$

Multiple Select

Check the boxes that show SMALL numbers

• $$6.945\ \times10^5$$

• $$1.245\ \times10^{-2}$$

• $$3.6\times10^{-4}$$

• $$1.24\ \times10^{10}$$

What is 42, 356 in scientific notation?

• Is this a big number or a small number?

• Will the exponent be positive or negative?

• Where does the decimal point go?

• How many places will the decimal move until the ones place is directly to the left?

• How do we write the number in scientific notation?

4.2356 x 10⁴

What is .0967

• Is this a big number or a small number?

• Will the exponent be positive or negative?

• Where does the decimal point go?

• How many places will the decimal move until the ones place is directly to the left?

• How do we write the number in scientific notation?

9.67 x 10 ^-2

Multiple Choice

Write this number in scientific notation: 546, 789

• $$5.46789\ \times10^5$$

• $$5.46789\ \times10^{-5}$$

• $$54.6789\ \times10^5$$

Open Ended

Write the following in scientific notation: .0000345

Multiple Choice

Write the number in scientific notation: 0.567543

• 567,543

• 5.67543 x 10⁵

• 5.67543 x 10^-1

• 567.543 x 10 ^-3

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 10⁷
• 5.2 x 10⁸
• 0.52 x 10⁹

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

Write 5.045 x 10⁴ in standard form

• Is this a big or a small number?

• Which way will you move the decimal point?

• How many places will it move?

• How do we rewrite the number in standard notation?

50, 450

5.045 x 10⁴

Write 2.33 x 10^-5 in standard form

• Is this a big or a small number?

• Which way will you move the decimal point?

• How many places will it move?

• How do we rewrite the number in standard notation?

.0000233

2.33 x 10^-5

Multiple Choice

Write the number in standard form: 3.45 x 10⁶

• 34, 500

• .00000345

• 345 x 10⁴

• 3, 450,000

Multiple Choice

4.056 x 10^-8

• 405,600,000

• 0.00000004056

• 0.00000004

• 4, 056

Open Ended

Write 5.212 x 10^-5 in standard form

Multiple Choice

What is scientific notation?

• A long way to write really short  numbers
• A short way to write really long numbers
• I don't know...
• None of the above

Multiple Choice

Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.

• True
• False

Multiple Choice

UNDERSTANDING
If the exponent is a positive number...

• you will get a large number
• you will get a smaller number

Multiple Choice

How do you write
1001
in scientific notation?

• 1.0001 x 10⁴
• 1.01 x 10⁵
• 1.001 x 10³
• 10.1 x 10³

Multiple Choice

How would you write -5.6 x 10^-3 in standard form?

• 0.0056
• -5,600
• 0.00056
• -0.0056

Multiple Choice

How would you write 0.0005 in scientific notation?

• 50 x 10⁵

• 5 x 10^-4

• 5 x 10³

• .5 x 10³