Which student is correct?

A rectangle has an area of 10 x3+2 x2+4 xsquare feet and a width of 2 xfeet. What is the length of the rectangle? Remember to include units.

Student 1

2x(10 x3+2 x2+4 x)

20 x4+4 x3+8 x2

Student 2

5 x2+x+2

Key Takeaway: _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Chart the

Error

Name Date _________ 8.EE.A.3 8.EE.A.1 Team

Do Now 9-18-20

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Write 585,000,000 in exponential form.

Write 3.75 x 106in standard form.

Explain what happens to the decimals when you have positive and negative exponents.

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What kind of numbers are made when the exponents are negative and what kind of numbers are made when the exponents are positive?

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Skill Drill

Name Date _________ 8.EE.A.3 8.EE.A.1 Team

Comparing Scientific Notation4

Key Takeaways:

Standards:

8.EE.A.1- Know and apply the properties of integer exponents to generate equivalent numerical expressions.

8.EE.A.3- Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.

Write numbers using scientific notation. Express numbers written in scientific notation in standard form. Given two numbers written in scientific notation, identify how many times as much

one is than the other.

Vocabulary:

scientific notation- numbers written in the form n x 10a, where 1 n < 10 and a is an integer

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Part 1: Activation of Prior Knowledge

If we compared the following scientific notations how would we order them from least to greatest?

9.8 x 102 1.68 x 104 2.3 x 103 1.27 x 104

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Look at the constants, what number do you think is the largest number? __________

Look at the exponents, what number do you think is the largest number? __________

Write each number out in standard form:

9.8 x 102_____________________________

1.68 x 104____________________________

2.3 x 103____________________________

1.27 x 104____________________________

So based on what you wrote out put the numbers in order from least to greatest.

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What two factors should we look at in order to help us determine this order? _________

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Key Takeaway: __________________________________________________________

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Part 2: Explore

You have 4.5 x 109 and 1.5 x 108, let’s compare the two numbers.

How much bigger is 4.5 than 1.5? ___________________________

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Now let’s look at the exponents, when we look at the exponents of the numbers, how many times bigger is 9 than 8? ___________________

If we multiply the two numbers together how much bigger is 4.9 x 109 than 1.5 x 108?

_________________

Key Takeaway: __________________________________________________________

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Let’s explore what happens if we have negative exponents:

If we compared the following scientific notations how would we order them from least to greatest?

9.8 x 10−2 1.68 x 10−4 2.3 x 10−3 1.27 x 10−4

Look at the constants, what number do you think is the largest number? __________

Look at the exponents, what number do you think is the largest number? __________

Write each number out in standard form:

9.8 x 10−2_____________________________

1.68 x 10−4____________________________

2.3 x 10−3____________________________

1.27 x 10−4____________________________

So based on what you wrote out put the numbers in order from least to greatest.

______________________________

______________________________

______________________________7

______________________________

What two factors should we look at in order to help us determine this order? _________

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Key Takeaway: __________________________________________________________

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Independent Practice

The total area of the state of Ohio is 4.5 x 104 and the total area of Rhode Island is 1.5 x 103. How much bigger is Ohio than Rhode Island?

The total area of Georgia is 6 x 104 how much larger is the state of Georgia than Rhode Island?

Which is greater and by how much 9 x 10−2 or 3 x 10−4? Explain. _____________________

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Put these numbers in order from least to greatest

6.7 x 104 7.5 x 103 8.2 x 10−3 9.1 x 104

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Explain how you know? ___________________________________________________

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Name Date _________ 8.EE.A.3 8.EE.A.1 Team

Comparing Scientific Notation10

Exit Ticket

Directions: Solve each problem.

Put the numbers in the chart in order from least to greatest

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___________________________

___________________________

___________________________

Explain how you know? ___________________________________________________

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The total area of Kansas that is covered by water is about 5 x 102 mi². The total area of Alaska that is covered by water is about 9.5 x 104. The total water area of Alaska is about how many times the total area of Kansas?

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Name Date _________ 8.EE.A.3 8.EE.A.1 Team

Comparing Scientific NotationHomework

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Mixed ReviewThe solution to the equation below is between which two whole numbers?

x2=56

Place the numbers on the number line below.

√64, 34

24,√13

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(a) Between 4 and 5

(b) Between 5 and 6

(c) Between 6 and 7

(d) Between 7 and 8

A rectangle has an area of 10 x3+2 x2+4 xsquare feet and a width of 2 xfeet. What is the length of the rectangle? Remember to include units.

Which of the following is not a rational number?

(a) √27

(b) 62

(c) 79

(d) √49

11. The perimeter of a rectangle is 3x2+5 x+10 feet. The width is 4x+8 feet. What is the length? Remember to include units.

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