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Knihovna

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

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"Source: Open Up Resouces (Download for free at openupresources.org.)"

Otázka 1
1.

Write the expression with a single exponent:

({10^7})^2

Otázka 2
2.

Write the expression with a single exponent:

({10^9})^3

Otázka 3
3.

Write the expression with a single exponent:

({10^6})^3

Otázka 4
4.

Write the expression with a single exponent:

({10^2})^3

Otázka 5
5.

Write the expression with a single exponent:

({10^3})^2

Otázka 6
6.

Write the expression with a single exponent:

({10^5})^7

Otázka 7
7.

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.)

Otázka 8
8.

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?

Otázka 9
9.

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?

Otázka 10
10.

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.

How many amoebas are there after 1 hour?

Otázka 11
11.

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.

How many amoebas are there after 2 hour?

Otázka 12
12.

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.

Write an expression for the number of amoebas after 6 hours.?

Otázka 13
13.

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.

Write an expression for the number of amoebas after 24 hours.

Otázka 14
14.

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?

Otázka 15
15.

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?