The Rational Number System and the Coordinate Plane.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you order rational numbers from least to greatest?

Back

To order rational numbers, convert them to a common format (like decimals or fractions) and compare their values.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |-4| = 4.

Front

What is the coordinate plane?

Back

The coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).

Front

What are the coordinates of a point on the coordinate plane?

Back

Coordinates are written as (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Front

What is the difference between integers and whole numbers?

Back

Whole numbers are non-negative integers (0, 1, 2, ...), while integers include all whole numbers and their negative counterparts (..., -2, -1, 0, 1, 2, ...).

Front

How do you find the distance between two points on the coordinate plane?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the significance of the origin in the coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect, serving as the reference point for all other points.

Front

Can a whole number be a rational number?

Back

Yes, every whole number is a rational number because it can be expressed as a fraction (e.g., 5 = 5/1).

Front

What is the process to convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.