Real Numbers 8.2A,8.2B, 8.2C

Front

What are real numbers?

Back

Real numbers include all the rational and irrational numbers. They can be represented on the number line.

Front

What is the square root of a number?

Back

The square root of a number x is a value that, when multiplied by itself, gives x. For example, √9 = 3.

Front

How do you determine the square root of a non-perfect square?

Back

Estimate between two integers. For example, √40 is between 6 and 7 because 6² = 36 and 7² = 49.

Front

What is the decimal equivalent of 81%?

Back

81% as a decimal is 0.81.

Front

How do you convert a fraction to a decimal?

Back

Divide the numerator by the denominator. For example, 1/12 = 0.0833.

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered as PEMDAS.

Front

How do you compare real numbers?

Back

To compare real numbers, convert them to the same form (decimal or fraction) and then determine which is greater or lesser.

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, using symbols like <, >, ≤, or ≥.

Front

What does it mean for a number to be rational?

Back

A rational number can be expressed as a fraction a/b, where a and b are integers and b ≠ 0.

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.