IM 6.6.12 Lesson: Meaning of Exponents

What do you notice? What do you wonder?
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[/img]
[size=150]You find a brass bottle that looks really old. When you rub some dirt off of the bottle, a genie appears! The genie offers you a reward. You must choose one:[/size][br][br][list][*]$50,000; or[/*][*]A magical $1 coin. The coin will turn into two coins on the first day. The two coins will turn into four coins on the second day. The four coins will double to 8 coins on the third day. The genie explains the doubling will continue for 28 days.[/*][/list][br]The number of coins on the third day will be [math]2\cdot2\cdot2[/math]. Write an equivalent expression using exponents.
What do [math]2^5[/math] and [math]2^6[/math] represent in this situation? Evaluate [math]2^5[/math] and [math]2^6[/math] without a calculator.
How many days would it take for the number of magical coins to exceed $50,000?
Will the value of the magical coins exceed a million dollars within the 28 days? Explain or show your reasoning.
Explore the applet.
Explore the applet. Why do you think it stops?
A scientist is growing a colony of bacteria in a petri dish. She knows that the bacteria are growing and that the number of bacteria doubles every hour.[br][br]When she leaves the lab at 5 p.m., there are 100 bacteria in the dish. When she comes back the next morning at 9 a.m., the dish is completely full of bacteria. At what time was the dish half full?
Here are some expressions. All but one of them equals 16. Find the one that is [i]not[/i] equal to 16.
Explain how you know.
Write three expressions containing exponents so that each expression equals 81.

IM 6.6.12 Practice: Meaning of Exponents

Select [b]all[/b] the expressions that are equivalent to 64.
Select [b]all [/b]the expressions that equal [math]3^4[/math].
[size=150][math]4^5[/math] is equivalent to 1,024. Evaluate the expression.[/size][br][br][math]4^6[/math]
[math]4^4[/math]
[math]4^3\cdot4^2[/math]
[math]6^3=216[/math]. Using exponents, write three more expressions whose value is 216.
Find two different ways to rewrite [math]3xy+6yz[/math] using the distributive property.
Solve the equation.
[math]a-2.01=5.5[/math]
[math]b+2.01=5.5[/math]
[math]10c=13.71[/math]
[math]100d=13.71[/math]
Which expressions represent the total area of the large rectangle? Select [b]all [/b]that apply.[br][br][img]data:image/png;base64,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[/img]
[size=150]Is the statement true or false?[/size][br][br][math]\frac{45}{100}\cdot72=\frac{45}{72}\cdot100[/math]
Explain your reasoning.
[size=150]Is the statement true or false?[br][/size][br]16% of 250 is equal to 250% of 16.
Explain your reasoning.

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