Open Up - Grade 8 - Mathematics - Unit 7 - Lesson 3

You have 1,000,000 number cubes, each measuring one inch on a side.If you stacked the cubes on top of one another to make an enormous tower, how high would they reach?(Round to the nearest whole Number.)

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You have 1,000,000 number cubes, each measuring one inch on a side.If you arranged the cubes on the floor to make a square, what would its dimensions be?

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You have 1,000,000 number cubes, each measuring one inch on a side.If you layered the cubes to make one big cube, what would be the dimensions of the big cube?

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An amoeba divides to form two amoebas after one hour. One hour later, each of the two amoebas divides to form two more. Every hour, each amoeba divides to form two more.Why might exponential notation be preferable to answer these questions?

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Elena noticed that, nine years ago, her cousin Katie was twice as old as Elena was then. Then Elena said, “In four years, I’ll be as old as Katie is now!” If Elena is currently e years old and Katie is k years old, which system of equations matches the story?

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