Comparing and Ordering 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 compare their values.

Front

What does it mean to order numbers in ascending order?

Back

Ordering numbers in ascending order means arranging them from the smallest to the largest.

Front

What is the symbol for 'greater than'?

Back

The symbol for 'greater than' is >.

Front

What is the symbol for 'less than'?

Back

The symbol for 'less than' is <.

Front

What is the symbol for 'equal to'?

Back

The symbol for 'equal to' is =.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

What is the first step in ordering rational numbers?

Back

The first step in ordering rational numbers is to convert all numbers to the same form, either all fractions or all decimals.

Front

How do you find the least common denominator (LCD) of two fractions?

Back

To find the least common denominator, list the multiples of each denominator and find the smallest multiple that they both share.

Front

What is the result of comparing 1/2 and -1/2?

Back

1/2 > -1/2 because positive numbers are greater than negative numbers.