SS1 First Term Mathematics Lesson Note – Indices

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WEEK 1:                                                                                      

TOPIC: Indices

Content:

• Revision of standard form
• Relationship between indices and standard form.
• Laws of indices:(i) a^x x a^y = a^x+y (ii) a^x a^y = ax^-y (iii) (a^x)^y  =  a^xy, etc.
• Application of indices, simple indicial equation.

Revision of standard form

Example 1:Express the following in standard form

• 37 (b)  53.7   (c) 537   (d)  35.65  (e)  7500  (f) 1403420

Solution:

• 37 = 5.37 x 1

= 5.37 x 10⁰

53.7 = 5.37 x 10¹

537 = 5.37 x 100

= 5.37 x 10 x 10

= 5.37 x 10²

35.65 = 3.565 x 10

=  3.565 x 10¹

• 7500 = 7.5 x 1000

= 7.5 x

• 1403420 = 1.403420 x 1000000

=  1.403420 x 10⁶

Example 2;  Express the following in standard form

• 037 (b)  0.00065   (c)  0.0058   (d)  0.61

Solution:

Method   1:

• 037 = 3.7 x 0.01

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