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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 7, Topic 2
In Progress

Standard Index Form – Numbers Less than 1

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For a number less than 1, the power is negative when expressed in standard form.

Example 1

Express these numbers in standard form 

a. 0.000587

b. 0.000 000 218

c. 0.000 067

d. 0.000 000 298

e. 0.000 002

Solution

a. 0.000 587

Move the decimal point in between the first two significant digits  

(5 and 8)

adec4 e1606120925215

= 5.87 x 10-4

b. 0.000 000 218

adec 5 e1606121071325

= 2.18 x 10-7

c. 0.000 067

adec6 e1606121144131

= 6.7 x 10-5

d. 0.000 000 298

adec 8 e1606121201693

= 2.98 x 10-7

e. 0.000 002

adec7 e1606121249988

=  2 x 10-6

Example 2

Express the following as decimal fractions

a. 4.5 x 10-2

b. 2 x 10-5

c. 7.85 x 10-4

Solution

a. 4.5 x 10-2

adec9 e1606121460749

=  0.045

b. 2 x 10-5

adec10 e1606121519233

=    0.00002

c. 7.85 x 10-4

adec 11 e1606121557152

=    0.000785

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