Summary: Exploring the Relationship Between Decimals and Fractions

Key Concepts

  • Convert a Fraction to a Decimal To convert a fraction to a decimal, divide the numerator of the fraction by the denominator of the fraction.
  • Properties of Circles


[latex]r[/latex] is the length of the radius

[latex]d[/latex] is the length of the diameter

The circumference is [latex]2\pi r[/latex] , [latex]C=2\pi r[/latex]

The area is [latex]\pi {r}^{2}[/latex] , [latex]A=\pi {r}^{2}[/latex]


circumference of a circle
The distance around a circle is called its circumference.
diameter of a circle
A diameter of a circle is a line segment that passes through a circle’s center connecting two points on the circle.
radius of a circle
A radius of a circle is a line segment from the center to any point on the circle.
repeating decimal
A repeating decimal is a decimal in which the last digit or group of digits repeats endlessly.