Ordering Real Numbers

Front

What are real numbers?

Back

Real numbers include all the numbers on the number line, including rational numbers (like integers and fractions) and irrational numbers (like √2 and π).

Front

How do you compare two real numbers?

Back

To compare two real numbers, you can use the number line: the number further to the right is greater, and the number further to the left is smaller.

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, |−3| = 3 and |3| = 3.

Front

What is the order of operations?

Back

The order of operations is a set of rules for evaluating expressions: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

Front

What does it mean to order numbers?

Back

To order numbers means to arrange them in a specific sequence, typically from least to greatest or greatest to least.

Front

How do you order negative and positive numbers?

Back

When ordering numbers, negative numbers are always less than positive numbers. For example, -2 < 0 < 3.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

What is an irrational number?

Back

An irrational number cannot be expressed as a simple fraction. Its decimal representation goes on forever without repeating, like √2 or π.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 0.25.

Front

What is the difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator smaller than its denominator (e.g., 3/4), while an improper fraction has a numerator larger than or equal to its denominator (e.g., 5/4).