Different kinds of numbers

Mathematics

Grade 8

The number system

(natural and whole numbers)

Module 1

Different kinds of numbers

CLASS ASSIGNMENT 1

• Discover the number system step by step....

1. General: Different kinds of numbers

Provide an example of each of the following numbers:

• Natural numbers N = {..................................................}

• Counting numbers N ₀ = {..................................................}

• Integers Z+ = {..................................................}

Z- = {..................................................}

• Rational numbers Q = {..................................................}

• Irrational numbers Q’ = {..................................................}

• Real numbers R = {..................................................}

2. Natural numbers

Prime numbers + Compound numbers = Natural numbers

3. Divisibility rules

Do you recall that

In each instance, select a number that is divisible by the given divisor and try to deduce a rule for each instance.

4. Determine by which numbers (1.3.1 - 1.3.9) 61 226 is divisible and provide a reason for each.

5. Explain what you understand the following terms to mean:

5.1 Multiple:

5.2 Factor:

5.3 Prime number:

5.4 Prime factor:

5.5 Even numbers and odd numbers:

• How do you determine the factors of a number? Look at the following.....e.g. F ₂₄ = {1; 2; 3; 4; 6; 8; 12; 24} 1 x 24; 2 x 12; 3 x 8; 4 x 6

6. Determine the factors of 48.

7. Write out all the multiples of 6 between 23 and 56.

8. Determine the prime numbers between 17 and 78.

9 Determine all odd compound numbers between 16 and 50.

10 Write down all the factors of 50 that are prime numbers.

11. Write down all the factors of 50 that are compound numbers.

12. Explain: Cube numbers. Write down the first 6 cube numbers.

13. Explain : Square numbers. Write down the first 10 square numbers.

HOMEWORK ASSIGNMENT 1

1. Write the definition for each of the following:

1.1 Rational number:

1.2 Prime number:

1.3 Compound numbers:

1.4 Prime factors:

2. Select from {0; 1; 2; 3; 4; ... ; 36} and write down:

2.1 The first two compound numbers

2.2 Odd numbers that are not prime numbers

2.3 Multiples of 6

2.4 Factors of 12

2.5 Prime factors of 12

2.6 Factors of 36

3. Which of the following numbers - ⁹ / ₃ ; ⁷ / ₀ ; 0; 3; -9; 16; 2 ¹ / ₃ are:

3.1 Integers?

3.2 Rational numbers?

3.3 Non-real numbers?

4. Tabulate the following:

4.1 Natural numbers<5 ...........................................................................