Week 9 – SS1 First Term General Mathematics Notes

 
 WEEK 9
SQUARES OR POWERS OF NUMBERS IN LOGARITHMS
When squaring numbers in logarithms you multiply the power by the logarithm values
EXAMPLE
Evaluate the following numbers using logarithm table:

1. (18.42 (b) (

SOLUTION

1. (18.42 = NO LOG

   (18.42 1.2653 x 4 = 5.0612
   Antilog of 0612 =1151
   (18.42 = 115100
   (b) ( = NO LOG
   67.9 1.8319
   5.23 0.7185
   1.1134 X 3 = 3.3402
   Antilog of 3402 = 2189

    ( = 2189
   SQUARE ROOTS OF NUMBERS IN LOGARITHMS
   When finding the square root of any number with logarithm table , you divide the table value by the value of the square root.
   EXAMPLE
   Evaluate the following number using logarithm table:

   1. (b)

      

   2. = NO LOG

   0.7551÷ 5 = 0.15102
   Antilog of 1510 = 1.416

   1. = NO LOG

      =
      = +
      =
      161.5 –
      =
      Antilog of 1094 = 12.86
      RELATIONSHIP BETWEEN INDICES AND LOGARITHMS
      Considering numbers in ten (10)
      NUMBERS INDICES LOGARITHM
      10 = 1
      100 2
      1000 3
      -2
      0.00001 -5

ASSESSMENT: Using tables, evaluate the following numbers;

1. (a) (56.89 (b) (3.9562 (c) (d)
2. (a) x 45.1 (b) x 92.6
3. (a) (b) (c)

MORAL OBJECTIVES: JOHN 3:33 the man who has accepted it has certified that God is truthful