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JSS2: MATHEMATICS - 1ST TERM

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  1. Properties of Whole Numbers I | Week 1
    4Topics
    |
    2 Quizzes
  2. Properties of Whole Numbers II | Week 2
    4Topics
    |
    2 Quizzes
  3. Properties of Whole Numbers III | Week 3
    4Topics
    |
    1 Quiz
  4. Indices | Week 4
    2Topics
    |
    1 Quiz
  5. Laws of Indices | Week 5
    5Topics
    |
    1 Quiz
  6. Whole Numbers & Decimal Numbers | Week 6
    4Topics
    |
    1 Quiz
  7. Standard Form | Week 7
    3Topics
    |
    1 Quiz
  8. Significant Figures (S.F) | Week 8
    4Topics
    |
    1 Quiz
  9. Fractions, Ratios, Proportions & Percentages I | Week 9
    6Topics
    |
    1 Quiz
  10. Fractions, Ratios, Proportions & Percentages II | Week 10
    4Topics
    |
    1 Quiz
  11. Fractions, Ratios, Proportions & Percentages III | Week 11
    3Topics
    |
    1 Quiz
  12. Approximation & Estimation | Week 12
    1Topic
    |
    1 Quiz
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Factors: 

The factors of a number are the whole numbers that divide the number without any remainder. e.g. the factors of 18 may be found as follows:

Screen Shot 2020 11 21 at 7.31.12 PM

Factors of 18  are  1, 2, 3, 6, 9, 18

Multiples:

A multiple of a whole number is obtained by multiplying it by any whole number e.g.

The multiples of 4 are

4 x 1, 4 x 2, 4 x 3, 4 x 4, 4 x 5, 4 x 6 …..

which are  4, 8, 12, 16, 20, 24, …. etc

Example 1

a. Find all the factors of 36

b. State which of these factors are even

c. State which of these factors are odd

Solution

Screen Shot 2020 11 21 at 7.37.39 PM

a. Factors  of 36  =  1, 2, 3, 4, 9, 12, 18 and 36

b. Even numbers are  2, 4, 12, 18 and 36

c. Odd numbers are  1, 3 and 9

Example 2

a. Write the first five multiples of 12

b. Which of them are multiples of 8

Solution

a. Multiples of 12 are

12 x 1 = 12

12 x 2 = 24

12 x 3 = 36

12 x 4 = 48

12 x 5 = 60

Multiples of 12 are  12, 24, 36, 48 and 60

b. The multiples of 8 in 12, 24, 36, 48 and 60 

are 24 and 48

because ; 

24  =  3 x 8 

48  =  8 x 6

Prime Number:

A prime number is a number that can only be divided by 1 and itself. It has only two factors.

Examples are;

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 83, 89, 91, 97 etc.

Prime factor:

A prime factor is a factor that is also a prime number e.g

The factors of 20 are 1, 2, 4, 5, 10, and 20.

Out of these the prime factors of 18 are 2 and 5.

Product of Prime factors:

A given number can be expressed as a product of its prime factors. This is achieved by successive or repeated division by prime factors.

Example 3

Express the following numbersas a product of their prime factors. Express your answer in index form.  

(a)  36   

(b)  320   

(c)  336   

Solution

(a)36 

Screen Shot 2021 09 19 at 12.08.00 AM

36 = 2 x 2 x 3 x 3 = 22 x 32

(b)320 

Screen Shot 2021 09 19 at 12.05.40 AM

320  = 2 x 2 x 2 x 2 x 2 x 2 x 5  =  26 x 5

(c) 336

Screen Shot 2021 09 19 at 12.02.43 AM

336 = 2 x 2 x 2 x 2 x 3 x 7  =  24 x 3 x 7

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