Compare and Order Rational 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

How do you compare two rational numbers?

Back

To compare two rational numbers, convert them to a common denominator or convert them to decimal form, then determine which is greater, lesser, or if they are equal.

Front

What does the symbol '<' represent in comparing numbers?

Back

The symbol '<' means 'less than'. It indicates that the number on the left is smaller than the number on the right.

Front

What does the symbol '>' represent in comparing numbers?

Back

The symbol '>' means 'greater than'. It indicates that the number on the left is larger than the number on the right.

Front

What does the symbol '=' represent in comparing numbers?

Back

The symbol '=' means 'equal to'. It indicates that both numbers have the same value.

Front

What is absolute value?

Back

Absolute value is the distance of a number from zero on the number line, regardless of direction. It is always a non-negative value.

Front

Why is absolute value always positive?

Back

Absolute value is always positive because it measures distance, and distance cannot be negative.

Front

How do you find the absolute value of a number?

Back

To find the absolute value of a number, remove any negative sign. For example, the absolute value of -5 is 5.

Front

What is the relationship between negative and positive rational numbers?

Back

Negative rational numbers are less than zero, while positive rational numbers are greater than zero. They are on opposite sides of the number line.

Front

How can you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.