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 -7 is 7.

Front

Compare -18.6 and -18.06. Which is greater?

Back

-18.06 is greater than -18.6 because it is closer to zero.

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 comparing and ordering numbers?

Back

Comparing numbers involves determining which number is greater, less than, or equal to another, while ordering numbers involves arranging them in a specific sequence.

Front

If two rational numbers are equal, what does that mean?

Back

If two rational numbers are equal, it means they represent the same value, even if they are expressed differently (e.g., 1/2 and 0.5).

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 is common to both.

Front

What is the significance of the number line in comparing rational numbers?

Back

The number line helps visualize the position of rational numbers, making it easier to compare their values.