Comparing Rational Numbers on a number line

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 represent -1.2 on a number line?

Back

-1.2 is represented as a point slightly to the left of -1. It is between -1 and -2.

Front

What is the process for ordering rational numbers?

Back

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

Front

What is the greatest integer in the set: -17, -5, -3, -1?

Back

The greatest integer in this set is -1.

Front

How do you compare two negative rational numbers?

Back

To compare two negative rational numbers, the one with the greater absolute value is the smaller number.

Front

What is the decimal equivalent of 3/4?

Back

The decimal equivalent of 3/4 is 0.75.

Front

How do you find the midpoint between two rational numbers on a number line?

Back

The midpoint can be found by averaging the two numbers: (a + b) / 2.

Front

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

Back

The number line visually represents the relative positions of rational numbers, making it easier to compare their values.

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 integers and rational numbers?

Back

All integers are rational numbers because they can be expressed as a fraction with a denominator of 1.