Integer Representation and Operations Flashcard

Front

What is the definition of an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

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, |-5| = 5.

Front

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

Back

To find the horizontal distance between two points (x1, y1) and (x2, y2), use the formula |x2 - x1|.

Front

What is the location of sea level on a number line?

Back

Sea level is represented by the number 0 on a number line.

Front

In which quadrant is a point with a positive x-coordinate and a negative y-coordinate located?

Back

A point with a positive x-coordinate and a negative y-coordinate is located in Quadrant IV.

Front

What is the value of |-12.89|?

Back

The value of |-12.89| is 12.89.

Front

In which quadrant is a point with both negative x and y coordinates located?

Back

A point with both negative x and y coordinates is located in Quadrant III.

Front

What is the formula to calculate the distance between two points in a coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) is calculated using the formula: √((x2 - x1)² + (y2 - y1)²).

Front

What does it mean for a number to be negative?

Back

A negative number is a number that is less than zero, often representing a loss or a position below a reference point.

Front

What is the significance of the x-axis and y-axis in a coordinate plane?

Back

The x-axis is the horizontal line, and the y-axis is the vertical line. They intersect at the origin (0,0) and help define the position of points.