# INDICES

CONTENT

1. Revision of Standard Form
2. Laws Of Indices and Application of Indices
3. Simple Indicial Equations

## Revision of Standard Form

Example 1: Express the following in standard form.

(a) 5.37 (b)  53.7 (c) 537 (d) 35.65  (e) 7500  (f) 1403420

Solution:

(a) 5.37 = 5.37 × 1

= 5.37 × 100

(b) 53.7 = 5.37 × 101

(c) 537 = 5.37 × 100

= 5.37 × 10 × 10

= 5.37 × 102

(d) 35.65 = 3.565 × 10

=  3.565 × 101

(e) 7500 = 7.5 × 1000

= 7.5 × 103

(f) 1403420 = 1.403420 × 1000000

=  1.403420 × 106

Example 2:  Express the following in standard form.

(a) 0.037 (b)  0.00065   (c)  0.0058   (d)  0.61

Method 1:

(a) 0.037 = 3.7 × 0.01

= 3.7 × 10−2

(b) 0.00065 = 6.5 × 0.0001

= 6.5 × 10−4

(c) 0.0058 = 5.8 × 0.001

= 5.8 × 10−3

(d) 0.61 = 6.1 × 0.1

= 6.1 × 10−1

Method 2:

(a) $$\mathsf {0.037} = \frac{0.037}{1} \\ = \frac{3.7}{100} \\ = \frac{3.7}{10^2} \\ = 3.7 \times 10^{-2}$$

(b) $$0.00065 = \frac{0.00065}{1} \\ = \frac{6.5}{10000} \\ = \frac{6.5}{10^4} \\ = 6.5 \times 10^{-4}$$

(c) $$0.0058 = \frac{0.0058}{1} \\ = \frac{5.8}{1000} \\ = \frac{5.8}{10^3} \\ = 5.8 \times 10^{-3}$$

(d) $$0.061 = \frac{0.61}{1} \\ = \frac{6.1}{10} \\ = 6.1 \times 10^{-1}$$

Class Activity:

Express the following in standard form.

Lesson tags: General Mathematics Lesson Notes, General Mathematics Objective Questions, SS1 General Mathematics, SS1 General Mathematics Evaluation Questions, SS1 General Mathematics Evaluation Questions First Term, SS1 General Mathematics First Term, SS1 General Mathematics Objective Questions, SS1 General Mathematics Objective Questions First Term
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