Competition 11/17/21

Front

What are the four quadrants in a Cartesian coordinate system?

Back

Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Front

What is the definition of a real number?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.

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

What is an integer?

Back

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

Front

How do you determine the quadrant of a point given its coordinates?

Back

The quadrant can be determined by the signs of the x and y coordinates: (positive, positive) = Quadrant I, (negative, positive) = Quadrant II, (negative, negative) = Quadrant III, (positive, negative) = Quadrant IV.

Front

What is the formula to calculate miles per gallon (mpg)?

Back

Miles per gallon (mpg) = Total miles driven / Total gallons used.

Front

What is the relationship between integers and rational numbers?

Back

Every integer is a rational number because it can be expressed as a fraction with a denominator of 1.

Front

What are the coordinates of a point in the Cartesian plane?

Back

Coordinates are expressed as an ordered pair (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Front

What is the significance of the origin in a Cartesian coordinate system?

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

How do you classify the number -23?

Back

-23 is classified as a real number, rational number, and an integer.