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 order rational numbers from greatest to least?

Back

To order rational numbers from greatest to least, convert all numbers to a common format (like decimals or fractions) and compare their values.

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. It is always non-negative.

Front

How do you compare negative rational numbers?

Back

When comparing negative rational numbers, the number with the greater absolute value is actually the smaller number.

Front

What is the absolute value of -8?

Back

The absolute value of -8 is |−8| = 8.

Front

Is -1.4 less than -1.25?

Back

Yes, -1.4 < -1.25 because -1.4 is further left on the number line.

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 relationship between -1.37 and 1.21 in terms of absolute value?

Back

|−1.37| > |1.21| because |−1.37| = 1.37 and |1.21| = 1.21.

Front

How do you determine if a statement about inequalities is true?

Back

To determine if a statement about inequalities is true, evaluate the numbers involved and compare their values.

Front

What does it mean to order numbers?

Back

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