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JSS1: MATHEMATICS - 1ST TERM

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  1. Whole Numbers I | Week 1
    3Topics
    |
    1 Quiz
  2. Whole Numbers II | Week 2
    1Topic
    |
    1 Quiz
  3. Counting in Base Two | Week 3
    4Topics
    |
    1 Quiz
  4. Arithmetic Operations | Week 4
    3Topics
    |
    1 Quiz
  5. Lowest Common Multiple (LCM) | Week 5
    1Topic
    |
    1 Quiz
  6. Highest Common Factor | Week 6
    1Topic
    |
    1 Quiz
  7. Fraction | Week 7
    7Topics
    |
    1 Quiz
  8. Basic Operations with Fractions I | Week 8
    3Topics
    |
    1 Quiz
  9. Basic Operations with Fractions II | Week 9
    1Topic
    |
    1 Quiz
  10. Directed Numbers | Week 10
    3Topics
    |
    1 Quiz
  11. Estimation and Approximation I | Week 11
    3Topics
    |
    1 Quiz
  12. Estimation and Approximation II | Week 12
    6Topics
    |
    1 Quiz
Lesson 7, Topic 5
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Conversion of Fractions to Decimals

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Changing Fractions to Decimals: 

To express a fraction as a decimal, make an equivalent fraction with a denominator that is a power of ten. 

Example 1

Express\(\frac {3}{5} \)as a decimal. 

Solution:

\( \frac {3}{5} = \frac {3}{5} \; \times \; \frac {10}{10}\)

= \( \frac {30}{50} = \frac {6}{10} = \scriptsize 0.6 \)

Note: 5 in 30 we give 6 and 5 in 50 give 10. 

Example 2

Express \( \frac {6}{25}\)as a decimal 

Solution:

To make the denominator in power of 10 we multiply the numerator and denominator it by 4 to get 100. We are looking for the number that will multiply 25 to get 100.

Note: We can also obtain the number by divinding 100 by 25 = \( \frac {100}{25} \scriptsize = 4 \)

Hence  

\( \frac {6}{25} = \frac {6 \; \times \; 4}{25 \; \times \; 4} = \frac {24}{100}\)

= 0.24

Example 3

Express\( \frac {5}{8}\)as a decimal. 

Solution 

\( \frac {5}{8} = \frac {5 \: \times \: 1000}{8 \: \times \: 1000} = \frac {5000}{8000}\)

= \( \frac {625}{1000} \scriptsize = 0.625\)

Ans = 0.625

(Hint: To make 8000 to the power of 10 we divide it by 8. i.e 8000 ÷ 8 = 1000 and 5000 ÷ 8 = 625. It is easier to divide with the power of ten as the denominator which in this case is 1000). 

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