# Algebra/Arithmetic/Exponent Problems

Return to Exponents | Arithmetic Exponent Problems | Return to Roots |

## Contents

## Problem 1[edit]

## Problem 2[edit]

#### Examples[edit]

Calculating powers of 10 become easier when understanding that the exponent gives a clue to how many zeros there are after the 1.

For example, , that is, 10 to the first power has one zero after the 1.

, or that is, 10 to the second power has two zeros after the 1.

#### Problems[edit]

2.a

2.b

2.c

## Problem 3[edit]

Everybody is born to biological parents. Our parents each had biological parents. We can say that our grandparents are mathematically as the number of our ancestors doubles with each generation we go back.

So:

3.a How many times would 2 be multiplied to determine the number of great grandparents?

3.b How many times would 2 be multiplied to determine the number of great-great grandparents?

## Problem 4[edit]

#### Example[edit]

We can identify the square numbers between two numbers by simply squaring basic numbers. For example:

To identify the square numbers between 20 and 40 we can say

is too small

is in the range

is in the range

is too large

So the square numbers in that range are 5 and 6.

#### Problems[edit]

4.a Identify the square numbers between 50 and 100

4.b Identify the square numbers between 160 and 200.

## Problem 5[edit]

You tear a piece of paper in half. Then, you tear each remaining sheet of paper in half again. You tear the collection of papers 5 times over all. When you are done, how many scraps of paper do you have?

**Answers**