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 is the number line?

Back

A number line is a straight line that represents numbers as points at equal intervals, allowing for the visualization of their order and distance.

Front

What does it mean to order numbers?

Back

Ordering numbers means arranging them in a specific sequence, either from least to greatest or from greatest to least.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share, used to compare or add fractions.

Front

How do you find the position of a rational number on a number line?

Back

To find the position of a rational number on a number line, locate the whole number part and then divide the space between whole numbers into equal parts based on the denominator.

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, indicating their position relative to zero on the number line.

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 process for ordering a list of rational numbers?

Back

To order a list of rational numbers, convert them to a common format (either fractions or decimals), then compare their values from least to greatest or vice versa.

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).