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SS1: MATHEMATICS - 1ST TERM

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  1. Number Base System I | Week 1
    6Topics
    |
    2 Quizzes
  2. Number Base System II | Week 2
    3Topics
    |
    1 Quiz
  3. Number Base System III | Week 3
    2Topics
    |
    1 Quiz
  4. Modular Arithmetic I | Week 4
    2Topics
  5. Modular Arithmetic II | Week 5
    2Topics
  6. Modular Arithmetic III | Week 6
    3Topics
    |
    1 Quiz
  7. Indices I | Week 7
    2Topics
  8. Indices II | Week 8
    1Topic
    |
    1 Quiz
  9. Logarithms I | Week 9
    3Topics
  10. Logarithms II
    1Topic
    |
    1 Quiz
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Definition of Indices:

Indices or index (singular) deals with numbers raised to some power

e.g a5 is read as “a raised to the power 5”. Here 5 is called the index, power, or quotient while a is called the base.

Indices can also be referred to as exponents.

Laws of Indices:

1. \( \scriptsize X^a \times X^b = X^{a + b} \)

2. \( \scriptsize X^a \div X^b \: or \: \normalsize \frac{X^a}{X^b} \scriptsize = X^{a – b} \)

3. \( \scriptsize X^0 = 1 \)

4. \( \scriptsize X^{-a} = \normalsize \frac {1}{X^a} \) 

5. \( \scriptsize \left ( X^a \right)^b = X^{ab}\)

6. \( \scriptsize X^{^{\normalsize \frac{a}{b}}} = (\sqrt [b] {X})^a \)

7. \( \scriptsize X^{^{\normalsize\frac{1}{a}}} = \sqrt [a] {X} \)

Fractions with Negative Index:

When a fraction is raised to a negative index, invert the fraction and then change the negative index into a positive index.

1. \( ( \frac{a}{b})^{^{-\frac{m}{n}}} = (\frac{b}{a})^{^{\frac{m}{n}}} \)

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