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 and then compare their values.

Front

What does it mean to order numbers from greatest to least?

Back

Ordering numbers from greatest to least means arranging them in a sequence starting with the largest number and ending with the smallest.

Front

What does it mean to order numbers from least to greatest?

Back

Ordering numbers from least to greatest means arranging them in a sequence starting with the smallest number and ending with the largest.

Front

How can you represent rational numbers on a number line?

Back

Rational numbers can be represented on a number line by marking points that correspond to their values, showing their relative positions.

Front

What is the difference between positive and negative rational numbers?

Back

Positive rational numbers are greater than zero, while negative rational numbers are less than zero.

Front

What is an example of ordering rational numbers?

Back

For example, to order the numbers 1/2, -3/4, and 2/3 from least to greatest, you would arrange them as -3/4, 1/2, 2/3.

Front

What is the significance of a common denominator in ordering fractions?

Back

A common denominator allows you to compare and order fractions more easily by converting them to equivalent fractions.

Front

How do you convert a fraction to a decimal?

Back

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

Front

What is the absolute value of a rational number?

Back

The absolute value of a rational number is its distance from zero on the number line, regardless of direction.