Real Number Systems (8.2A/B)

What is an integer?

• Whole numbers that can be positive, negative, or zero.

• Numbers that include fractions and decimals.

• Only positive numbers without fractions.

• Negative numbers only.

What is a real number?

• Real numbers include all rational and irrational numbers and can be found on the number line.

• Real numbers are only whole numbers and do not include fractions.

• Real numbers are numbers that can be expressed as a ratio of two integers.

• Real numbers are imaginary numbers that cannot be represented on the number line.

What is an irrational number?

• An irrational number can be expressed as a simple fraction.

• An irrational number is a number that has a finite decimal representation.

• An irrational number cannot be expressed as a simple fraction. Its decimal representation goes on forever without repeating.

• An irrational number is a whole number that cannot be divided evenly.

Is every whole number a rational number?

• Yes, every whole number is also a rational number because it can be expressed as a fraction with a denominator of 1.

• No, whole numbers cannot be expressed as fractions.

• Only positive whole numbers are rational numbers.

• Whole numbers are not considered rational numbers.

Is zero a natural number?

• Yes, zero is a natural number.

• No, zero is not considered a natural number.

• Zero is a whole number but not a natural number.

• Zero is both a natural and a whole number.

What is the classification of -7.5?

• A rational number and a real number.

• An irrational number and a complex number.

• A whole number and an integer.

• A natural number and a real number.

Provide an example of a rational number.

• 1/2

• 3.14

• √2

• -5

Are all integers rational numbers?

• Yes, all integers are rational numbers because they can be expressed as a fraction with a denominator of 1.

• No, integers cannot be expressed as fractions.

• Only positive integers are rational numbers.

• Only negative integers are rational numbers.

What is a whole number?

• Whole numbers are all natural numbers including zero. They are non-negative integers.

• Whole numbers are all integers, both positive and negative.

• Whole numbers are only the positive integers.

• Whole numbers are fractions and decimals.

Provide an example of an irrational number.

• √2

• 3

• 1/2

• π