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 negative rational numbers?

Back

When comparing two negative rational numbers, the number with the greater absolute value is the smaller number. For example, -5 is less than -3 because |-5| > |-3|.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, the absolute value of -4 is 4.

Front

Compare -2.5 and -3.1

Back

-2.5 > -3.1

Front

What does it mean to order rational numbers?

Back

To order rational numbers means to arrange them from least to greatest or from greatest to least.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 1, then multiply the numerator and denominator by 10 for each digit after the decimal point.

Front

What is the difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator smaller than its denominator, while an improper fraction has a numerator that is greater than or equal to its denominator.

Front

Compare -0.75 and -0.5

Back

-0.75 < -0.5

Front

What is the process of finding a common denominator?

Back

Finding a common denominator involves determining a number that is a multiple of the denominators of two or more fractions, allowing for easy addition or comparison.

Front

How do you add two rational numbers with different denominators?

Back

To add two rational numbers with different denominators, first find a common denominator, convert the fractions, and then add the numerators.