Understanding Real Numbers

What is a real number?

• A real number cannot be negative.

• A real number is a complex number.

• A real number is any value on the number line, including rational and irrational numbers.

• A real number is only a whole number.

Can you give an example of an irrational number?

• π

• √2

• 3.14

• -1

What is the difference between rational and irrational numbers?

• Rational numbers are always whole numbers; irrational numbers are decimals.

• Rational numbers can only be positive; irrational numbers can be negative.

• Rational numbers are fractions of integers; irrational numbers cannot be expressed as fractions.

• Rational numbers are infinite; irrational numbers are finite.

Is the square root of 16 a real number?

• Only for negative numbers

• No

• Yes

• It is an imaginary number

What are the properties of real numbers?

• The properties of real numbers include closure, associativity, commutativity, identity elements, inverses, distributivity, and order.

• Commutativity is only relevant in geometry.

• Closure and identity only apply to integers.

• Real numbers do not have inverses.

How do you represent real numbers on a number line?

• Real numbers are represented on a number line by marking points corresponding to their values, with zero at the center and positive numbers to the right and negative numbers to the left.

• Real numbers are represented as fractions only.

• Real numbers are only shown as whole numbers on the line.

• Real numbers are represented by colors instead of points.

What is the absolute value of -5?

• 5

• -5

• 0

• 5.5

Are all integers considered real numbers?

• No, integers are not real numbers.

• Only positive integers are real numbers.

• Yes, all integers are considered real numbers.

• Integers are imaginary numbers.