## What is .999…?

Can a number have two decimal representations?

## Integers and Egyptian Fractions

Explore partial sums of series when they are equal to an integer value.

## What values of ….?

Find situations where a fractional expression can simplify to a whole number.

## Continued Fractions

Determine the value of a fraction that continually repeats itself.

## Decimal Pattern

Examine the patterns in a graph of the truncated portion of a multiple as a function of its multiple.

## Amazing Fractions

Find a set of digits that will produce a special property when simplifying fractions.

Determine a fair payment for people who want to share cookies.

## Bus Stops

How many people were on a bus before the bus reached its first stop?

## Renting a Car

Is it more economical to rent a car or ride the bus?<

## Surrounding Numbers

Supply missing numbers that are equally spaced and “surround” 2.1 on the given number lines.

## Growing Strawberries

How many pints of strawberries will you have to grow before you earn a profit?

## Students in the Class

Determine the number of boys and girls in a class.

## Halfway to a Series

Find the sum of a series.

## Increasing by One-Half

Can you increase a fraction by one-half by adding the same integer to both the numerator and denominator?

Find the regular price of one polliwog.

## Unusual Property

Identify two fractions whose sum is equal to the sum of the numerators divided by the sum of the denominators.

## The Salesman and the Eggs

Find the number of eggs sold when a salesman sells a fraction of his eggs at a time.

## Perfect Square

Find a perfect square with a specified property.

## Proper Fraction Fury

Investigate procedures with proper fractions.

## Splitting Fractions in “Two”

Find two unique unit fractions whose sum is equal to a given fraction.

## Dividing by Zero

Why can’t the denominator of a fraction be zero?

## Creating Integers

Explore the relationship between a fraction and its decimal equivalent.