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 is the opposite of a number?

Back

The opposite of a number is the number that is the same distance from zero on the number line but in the opposite direction.

Front

What is absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative value.

Front

How do you find the absolute value of a negative number?

Back

The absolute value of a negative number is the same as the positive version of that number.

Front

What is the absolute value of -7?

Back

The absolute value of -7 is 7.

Front

What is the relationship between a number and its absolute value?

Back

A number and its absolute value are equal if the number is positive or zero; if the number is negative, the absolute value is the positive version of that number.

Front

How do you determine if one rational number is greater than another?

Back

To determine if one rational number is greater than another, compare their values after converting them to a common form (either fraction or decimal).

Front

What does it mean for two numbers to be equal?

Back

Two numbers are equal if they represent the same value on the number line.

Front

What is the absolute value of 0?

Back

The absolute value of 0 is 0.