Number Line

Front

What is a number line?

Back

A number line is a straight line that represents numbers as points at equal intervals along its length, typically extending infinitely in both directions.

Front

How do you identify a specific point on a number line?

Back

To identify a specific point on a number line, locate the corresponding number and mark it at the appropriate distance from the origin (usually 0).

Front

What does the distance between two points on a number line represent?

Back

The distance between two points on a number line represents the absolute difference between the two numbers.

Front

What is the significance of the origin on a number line?

Back

The origin is the point on a number line that represents the number 0, serving as the reference point for all other numbers.

Front

How do you represent negative numbers on a number line?

Back

Negative numbers are represented to the left of the origin on a number line, with each point corresponding to a negative value.

Front

What is the relationship between fractions and a number line?

Back

Fractions can be represented on a number line by dividing the segments between whole numbers into equal parts corresponding to the denominator.

Front

How can you find the midpoint between two numbers on a number line?

Back

The midpoint between two numbers can be found by averaging the two numbers: (a + b) / 2.

Front

What is the concept of intervals on a number line?

Back

Intervals on a number line refer to the segments between two points, which can be open (not including endpoints) or closed (including endpoints).

Front

How do you plot a number on a number line?

Back

To plot a number on a number line, locate the number's position based on its value and mark it with a point or dot.

Front

What is the difference between rational and irrational numbers on a number line?

Back

Rational numbers can be expressed as fractions and have exact positions on a number line, while irrational numbers cannot be expressed as fractions and have non-repeating, non-terminating decimal representations.