Compare and Order Real Numbers

Front

What is the definition of 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 symbols > (greater than), < (less than), or = (equal to) based on their values on the number line.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating.

Front

Convert 56% to a fraction.

Back

56% can be converted to a fraction as 56/100, which simplifies to 14/25.

Front

What is the decimal equivalent of 5/4?

Back

The decimal equivalent of 5/4 is 1.25.

Front

How do you order fractions from least to greatest?

Back

To order fractions, convert them to a common denominator or to decimal form, then compare their values.

Front

What is the square of 9?

Back

The square of 9 is 81.

Front

How do you determine if a number is greater than or less than another number?

Back

You can determine this by comparing their values on the number line or by calculating their difference.

Front

What is the value of -√121?

Back

The value of -√121 is -11.

Front

List the steps to compare and order real numbers.

Back

1. Convert all numbers to the same form (fractions, decimals, etc.). 2. Compare their values. 3. Arrange them from least to greatest.