Estimate Quantity in Scientific Notation

Poll

How are you feelin' today?

• happy

• excited

• tired

• grumpy

• sad

​

​Bellringers

Multiple Choice

$$\sqrt{16}=?$$  

• 8

• 2

• 4

• 32

Multiple Choice

$$9^2=18$$  True or false?

• True

• False

Multiple Choice

$$3_{\sqrt{8}}$$    (cube root of 8) 

• 2

• $$\pm2$$  

• -2

• None of the above 

Multiple Choice

$$3_{\sqrt{-1}}$$  (cube root of -1)

• $$\pm1$$  

• 1

• -1

• none of the above (imaginary number)

Multiple Choice

Select the set with all perfect squares.

• -144, 9, 50, 75, 81, 100

• 9, 50, 81, 100

• 9, 50, 75, 81, 100

• 9, 81, 100

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​Standard: MGSE8.EE.3

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. For example, estimate the population of the United States as 3 × 10⁸ and the population of the world as 7 × 10⁹, and determine that the world population is more than 20 times larger.

8th Grade | Math

MGSE8.EE.3​

​

​Learning Targets

K1: I can estimate very large and very small quantities using a single digit times a power of 10.

K2: I can write numbers in scientific notation.

R1: I can compare two quantities written as a single digit times a power of 10.​

8th Grade | Math

MGSE8.EE.3​

​

​Vocabulary

​Exponent - The exponent (or index or power) of a number says how many times to use the number in a multiplication.​

Scientific Notation - Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

Standard Notation -​ Standard notation is the normal way of writing numbers.

​Powers of 10 - A power of 10 is any of the integer powers of the number ten; in other words, ten multiplied by itself a certain number of times

8th Grade | Math

MGSE8.EE.3​

​

​Essential Questions

How do you use scientific notation?

8th Grade | Math

MGSE8.EE.3​

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Multiple Select

What must be true for the number "a" in scientific notation. Select all that apply.

• must be less than 10

• must be greater than 1

• must be greater than or equal to 1

• must be less than or equal to 10

• must be less than 1

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Convert: 9,270,000​

• ​Move decimal behind the "9".

• Moved 6 places.

• Setup as 9.27⋅​10⁶.

​

​Some text here about the topic of discussion.

​Example 1:

​

Convert: 0.000612

• ​Move decimal behind the "6".

• Moved 4 places.

• Setup as 6.12⋅​10⁻⁴.

​

​Some text here about the topic of discussion.

​Example 2:

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Multiple Choice

Write the following number in scientific notation.

360

• $$3.6\times10^2$$  

• $$0.36\times10^2$$  

• $$3.6\times10^3$$  

• $$3.6\times10^{-2}$$  

Multiple Choice

Write the following number in scientific notation.

0.052

• $$5.2\times10^1$$  

• $$5.2\times10^{-1}$$  

• $$5.2\times10^{-2}$$  

• $$5.2\times10^2$$  

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Fill in the Blanks

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

$5.7\times10^{-1}$  

Fill in the Blanks

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

$4.35\times10^5$  

Multiple Choice

Choose the smaller number.

• $$9.5\times10^4$$  

• $$9.21\times10^7$$  

Multiple Choice

Choose the smaller number.

• $$9.5\times10^4$$  

• $$9.21\times10^4$$  

Multiple Choice

Choose the bigger number.

• $$2.45\times10^{-6}$$  

• $$7.3\times10^{-8}$$  

Multiple Choice

Write the following number in scientific notation correctly.

$$942.1\times10^8$$  

• $$9.421\times10^8$$  

• $$9.421\times10^5$$  

• $$9.421\times10^{11}$$  

• $$9.421\times10^{10}$$  

Multiple Choice

Write the following number in scientific notation correctly.

$$0.00002\times10^{-5}$$  

• $$2\times10^{-11}$$  

• $$2\times10^{-10}$$  

• $$2\times10^0$$  

• $$2\times10^{-9}$$  

Scientific Notation

• 1st Number between 1 and 9

• 2nd Number base 10 With an exponent

​

• Larger numbers will always be positive

• Numbers larger than 1

​- Small numbers will always be negative exponents

• Numbers smaller than 1​

Multiple Choice

Which one of these is in scientific notation?

• 8.987000

• 8.98 x 10⁶

• 80.987 x 10

• 8.98⁶

Poll

How do you feel about today's lesson?

• I completely understand.

• I understand lot.

• I understand a little.

• I don't have a clue. What class is this again?