Convert Numbers to Scientific Notation

Lesson 7-1 Scientific Notation Day 1

by Cynthia Huang

​Learning Goal- IWBAT

•     Express numbers in Scientific Notation

•     Convert numbers in Scientific Notation to Standard Form and vice versa

Powers of Ten

Listen Up! Super valuable Information to Come

Fill in the Blank

$$10^{-5}$$  

Super LARGE Numbers will have Positive Exponents

Really Small Numbers will have Negative Exponents

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

Multiple Choice

Positive exponents represent moving the decimal to the left.

• True

• False

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.

Poll

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Multiple Choice

When writing a number in scientific notation, the first number must be greater than 1, but less than 10.

• False

• True

Multiple Choice

The rule of scientific notation is to write all exponents with a base of ____.

• 50

• 5

• 100

• 10

Multiple Choice

Which number is correctly written in scientific notation?

• 3.2867 x 10^-7

• 21.8689 x 10^-4

• 0.1537 x 10⁵

Multiple Choice

Which number is correctly written in scientific notation?

• 10.4 x 10³

• 9.99 x 10⁶

• 143.002 x 10^-4

Multiple Choice

$$143.002\ \times\ 10^{-4}$$  Is this in Scientific Notation?

• Yes

• No

Multiple Choice

$$7.99\times10^{32}$$  Is this in Scientific Notation?

• Yes

• No

Multiple Choice

$$87.2\times10^{-11}$$  Is this in Scientific Notation?

• Yes

• No

Multiple Choice

Write 3.2 x 10³ in standard form.

• 3.200

• 3200

• 32000

• .0032

Multiple Choice

$$8.93\times10^3$$  What is this number written in Standard Form?

• 893

• 893000

• 8930

• 89.3

Multiple Choice

• A

• B

• C

• d

Multiple Choice

• A

• B

• C

• D

Fill in the Blank

Write the following number in standard form. Type your answer with no spaces and no commas.

$$5.7\times10^{-1}$$  

Fill in the Blank

Write the following number in standard form. Type your answer with no spaces and no commas.

$$4.35\times10^5$$  

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

Multiple Choice

Write 9,450,000 in scientific notation.

• 9.45 x 10⁴

• 9.45 x 10⁵

• 9.45 x 10⁶

• .945 x 10⁷

Multiple Choice

Change from standard form to scientific notation: 0.000398

• 3.98 x 10^-4

• 3.98 x 10^-5

• 39.8 x 10^-5

• 39.8 x 10^-6

Multiple Choice

Write 6,700 in scientific notation.

• 6.7 x 10³

• 6.7 x10^-3

• 67 x 10²

• 67 x 10^-2

Multiple Choice

Write in scientific notation:
0.00071363

• 7.1363 x 10^-3
• 7.1363 x 10^-4
• 7.1363 x 10⁴
• 7.1363 x 10³

Multiple Choice

Change from standard form to scientific notation:  450,000

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

Multiple Choice

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

• 12.0 x 10⁷

• 1.2 x 10⁶

• 0.12 x 10⁷

• 1.2 x 10⁷