Comparing and ordering real numbers

Front

What are real numbers?

Back

Real numbers include all the rational and irrational numbers. They can be represented on a number line.

Front

Define rational numbers.

Back

Rational numbers are numbers that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

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

Back

A proper fraction has a numerator smaller than its denominator (e.g., 1/2), while an improper fraction has a numerator larger than or equal to its denominator (e.g., 5/4).

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.

Front

What does it mean to order numbers from least to greatest?

Back

Ordering numbers from least to greatest means arranging them in ascending order, starting with the smallest number.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share, used to compare or add fractions.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal over its place value (e.g., 0.75 = 75/100) and simplify.

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 (e.g., |-3| = 3).

Front

How do you identify the smallest number in a set?

Back

To identify the smallest number, compare each number in the set and find the one with the lowest value.

Front

What is the significance of negative numbers in ordering?

Back

Negative numbers are less than zero and are ordered to the left of zero on the number line, making them smaller than positive numbers.