Grade 9 Maths - Real numbers and Properties of numbers

Multiple Choice

Which of the following best describes the significance of the Real Number System in mathematics?

• It helps classify all numbers used in mathematics and daily life.

• It only deals with positive numbers.

• It is used only for advanced mathematics.

• It excludes decimals and fractions.

Multiple Choice

Which of the following numbers is irrational?

• 6/7

• -0.25

• π

• 3.5

Multiple Choice

Which of the following sets includes the number 0?

• Natural numbers

• Whole numbers

• Irrational numbers

• None of the above

Open Ended

Explain the difference between rational and irrational numbers, providing examples of each.

Multiple Choice

The commutative property holds for which of the following operations on real numbers?

• Addition and multiplication

• Subtraction and division

• Addition and subtraction

• Multiplication and division

Multiple Select

Select all statements that are true about the distributive property of real numbers.

• It applies to multiplication over addition.

• It applies to multiplication over subtraction.

• It applies to addition over multiplication.

• It applies to subtraction over division.

Multiple Select

Which of the following numbers are prime?

• 3

• 6

• 11

• 10

Open Ended

Explain the main difference between a prime number and a composite number, using examples from the table.

Multiple Select

Which of the following numbers have 2 as one of their prime factors?

• 72

• 35

• 48

• 63

Open Ended

Reflect on what you learned about the real number system today. Is there any part you would like to explore further or any question you still have?

Multiple Choice

What is the main difference between rational and irrational numbers as shown in the diagram?

• Rational numbers can be written as a fraction, while irrational numbers cannot.

• Rational numbers are always positive, while irrational numbers are always negative.

• Rational numbers have no decimal part, while irrational numbers do.

• Rational numbers are smaller than irrational numbers.