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JSS3: MATHEMATICS - 1ST TERM

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  1. Binary Number System I | Week 1
    5Topics
    |
    1 Quiz
  2. Binary Number System II | Week 2
    6Topics
    |
    1 Quiz
  3. Word Problems I | Week 3
    4Topics
    |
    1 Quiz
  4. Word Problems with Fractions II | Week 4
    1Topic
    |
    1 Quiz
  5. Factorisation I | Week 5
    4Topics
    |
    1 Quiz
  6. Factorisation II | Week 6
    3Topics
    |
    1 Quiz
  7. Factorisation III | Week 7
    3Topics
    |
    1 Quiz
  8. Substitution & Change of Subject of Formulae | Week 8
    2Topics
    |
    1 Quiz
  9. Simple Equations Involving Fractions | Week 9
    3Topics
    |
    1 Quiz
  10. Word Problems | Week 10
    1Topic
    |
    1 Quiz
Lesson 1, Topic 2
In Progress

Converting Numbers in Base 10 to Other Bases

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To convert from denary (ie.. base 10) to another base

a. Divide the given denary repeatedly by the new base number.

b. Continue dividing until zero is obtained, writing down the reminder at every stage.

c. The answer is the remainder read upon wards (i.e. from bottom to top).

Example 1

Convert these numbers in base ten to base six

a. 43

Screen Shot 2020 11 27 at 8.33.40 PM e1606506356498

=  111six

b. 9054

Screen Shot 2020 11 27 at 8.42.48 PM

=  105530six

c. 7054

Screen Shot 2020 11 27 at 8.44.17 PM

=  52354six

Example 2

Convert these numbers in base 10 to base two

Screen Shot 2020 11 27 at 8.48.49 PM

=  110101 two

b. 38

Screen Shot 2020 11 27 at 8.37.01 PM

=  100110two

c. 9

Screen Shot 2020 11 27 at 8.37.09 PM

=  1001two

Example 3

Convert these numbers to base 8

a. 768

Screen Shot 2020 11 27 at 8.38.06 PM

= 1400eight

b. 609

Screen Shot 2020 11 27 at 8.38.33 PM

=  1141eight

Example 4

Convert these numbers to base seven

a. 76

Screen Shot 2020 11 27 at 8.38.53 PM

=  136 seven

b. 405

Screen Shot 2020 11 27 at 8.39.04 PM

=  1116seven

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