Unit 7
Dividing Powers of 10
Exponents & Scientific Notation
Lesson 4
8.EE.A.1: Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² × (3⁻⁵) = (3⁻³) = 1/3³ = 1/27.
Expressions and Equations
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Warm Up
Unit 7 ● Lesson 4
1 min individual - 1 min team share - 3 mins class share
Page 21
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Unit 7 ● Lesson 4
We will be able to use exponents to find a rule for dividing powers with the same base so that we can explain and use a rule for dividing powers of 10.
Learning
Goal
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Where were we? Where are we? Where are we going?
Unit 7 ● Lesson 4
Agenda Review
You are successful today when...,
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
4.2 Activity: Dividing Powers of Ten
I can explain and use a rule for raising a power of 10 to a power.
pg 21-22
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
4.2 Activity: Dividing Powers of Ten
I can explain and use a rule for raising a power of 10 to a power.
15 mins total
4 min individual - 4 minutes group - 4 mins class share
pg 21-22
SKIP?
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
4.2 Activity: Dividing Powers of Ten
I can explain and use a rule for raising a power of 10 to a power.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
4.2 Activity: Dividing Powers of Ten
I can explain and use a rule for raising a power of 10 to a power.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
4.2 Activity: Dividing Powers of Ten
I can explain and use a rule for raising a power of 10 to a power.
The 3 factors that are 10 in the denominator are matched with 3 of the factors that are 10 in the numerator, then divided to make 1.
Since 3 factors that are 10 from the numerator are used to make 1, there are still 3 left.
10 ⦁ 10 ⦁ 10 ⦁ 10⦁10⦁10 = 10³
10 ⦁ 10 ⦁ 10
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Rewrite the base & subtract the exponents.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Try This!
I can explain and use a rule for raising a power of 10 to a power.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
4.3 Activity: Zero Exponent
I can explain and use a rule for raising a power of 10 to a power.
10 mins total
4 min individual - 2 minutes group - 4 mins class share
pg 22
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
4.3 Activity: Zero Exponent
I can explain and use a rule for raising a power of 10 to a power.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
or multiply by ⅓
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Powers of 10
I can explain and use a rule for raising a power of 10 to a power.
The exponents subtract because we are counting the number of factors that are 10 that survive division.
10⁰ is defined to be equal to 1 so that it fits with the exponent rules we have discovered for positive exponents. It is a logical extension of the rules.
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Lesson Synthesis
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Cool Down
I can explain and use a rule for raising a power of 10 to a power.
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Cool-down
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Unit 7 ● Lesson 4
Learning
Targets
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
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Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
This slide deck is copyright 2020 by Kendall Hunt Publishing, https://im.kendallhunt.com/, and is licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0), https://creativecommons.org/licenses/by-nc/4.0/.
All curriculum excerpts are under the following licenses:
IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics, and is copyright 2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). OUR's 6–8 Math Curriculum is available at https://openupresources.org/math-curriculum/.
Adaptations and updates to IM 6–8 Math are copyright 2019 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
Adaptations to add additional English language learner supports are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.
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