IM 8.7.9 Lesson: Describing Large and Small Numbers Using Powers of 10
Match each expression with its corresponding value and word.
For each of the numbers, think of something in the world that is described by that number.
Match each expression to one or more diagrams that could represent it. For each match, explain what the value of a single small square would have to be.
[math]2\cdot10^{^{-1}}+4\cdot10^{^{-2}}[/math]
For this match, explain what the value of a single small square would have to be.
[math]2\cdot10^{^{-1}}+4\cdot10^{^{-3}}[/math]
For this match, explain what the value of a single small square would have to be.
[math]2\cdot10^{^3}+4\cdot10^1[/math]
For this match, explain what the value of a single small square would have to be.
[math]2\cdot10^{^3}+4\cdot10^2[/math]
For this match, explain what the value of a single small square would have to be.
Write an expression to describe the base-ten diagram if each small square represents [math]10^{-4}[/math]. What is the value of this expression?[br][br][img]data:image/png;base64,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[/img]
How does changing the value of the small square change the value of the expression? Explain or show your thinking in the applet below.
Select at least two different powers of 10 for the small square, and write the corresponding expressions to describe the base-ten diagram. What is the value of each of your expressions?
Your teacher will assign you Partner A or B and the information that is missing from your partner’s statements. Do not show your card to your partner.
Do not show your card to your partner. Read each statement assigned to you, ask your partner for the missing information, and write the number your partner tells you.
A “googol” is a name for a really big number: a 1 followed by 100 zeros.
If you square a googol, how many zeros will the answer have? Show your reasoning.[br]
If you raise a googol to the googol power, how many zeros will the answer have? Show your reasoning.[br]