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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
Lesson 4, Topic 1
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Index Numbers

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An index is the number of times a given number has been multiplied by itself.

For example

5 x 5 x 5 x 5 x 5 x 5  =  56,  ‘5’  has been multiplied by itself 6 times. 5 is the base number and 6 is the index or power 

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The plural of index is indices.

Example 1

Write the following in index form 

a. 5 x 5 x 5

b. 2 x 2 x 2 x 2 x 2

c. 3 x 3 x 3 x 3

d. 128

e. 81

Solution

a. 5 x 5 x 5 = 53

b. 2 x 2 x 2 x 2 x 2 = 25

c. 3 x 3 x 3 x 3 = 34

d. Express 128 as product of its prime factors.

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128 =  2 x 2 x 2 x 2 x 2 x 2 x 2  =  27

e.  Express 81 as product of prime factors

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81 = 3 x 3 x 3 x 3 =  34

Example 2

Evaluate the following;

a. 25

b. 34

c. 55

d. 73

Solution

a. 25 = 2 x 2 x 2 x 2 x 2

= 4 x 4 x 2

= 16 x 2

= 32

b. 34 = 3 x 3 x 3 x 3

= 9 x 9

=  81

c. 55 = 5 x 5 x 5 x 5 x 5

= 25 x 25 x 5 

= 625 x 5 

= 3125

d. 73 = 7 x 7 x 7

=  49 x 7

= 343

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