Comparing and Ordering Real Numbers

Front

What is a real number?

Back

A real number is any number that can be found on the number line, including both rational numbers (like integers and fractions) and irrational numbers (like √2 and π).

Front

How do you compare two real numbers?

Back

To compare two real numbers, you can use the symbols > (greater than), < (less than), or = (equal to) based on their values on the number line.

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, |−3| = 3 and |3| = 3.

Front

How do you order fractions with different denominators?

Back

To order fractions with different denominators, convert them to a common denominator or convert them to decimal form to compare their values.

Front

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, √36 = 6.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 0.25.

Front

What is the area of a square?

Back

The area of a square is calculated by squaring the length of one of its sides. Area = side × side.

Front

How do you identify the greatest and least numbers in a set?

Back

To identify the greatest and least numbers in a set, compare each number and determine which is the highest (greatest) and which is the lowest (least).

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction (e.g., √2, π).

Front

How do you represent a number on a number line?

Back

To represent a number on a number line, locate its position based on its value relative to zero and other integers.