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JSS2: MATHEMATICS - 1ST TERM

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  1. Properties of Whole Numbers I | Week 1
    4 Topics
    |
    1 Quiz
  2. Properties of Whole Numbers II | Week 2
    4 Topics
    |
    1 Quiz
  3. Properties of Whole Numbers III | Week 3
    5 Topics
    |
    1 Quiz
  4. Indices | Week 4
    2 Topics
    |
    1 Quiz
  5. Laws of Indices | Week 5
    5 Topics
    |
    1 Quiz
  6. Whole Numbers & Decimal Numbers | Week 6
    4 Topics
    |
    1 Quiz
  7. Standard Form | Week 7
    3 Topics
    |
    1 Quiz
  8. Significant Figures (S.F) | Week 8
    4 Topics
    |
    1 Quiz
  9. Fractions, Ratios, Proportions & Percentages I | Week 9
    6 Topics
    |
    1 Quiz
  10. Fractions, Ratios, Proportions & Percentages II | Week 10
    4 Topics
    |
    1 Quiz
  11. Fractions, Ratios, Proportions & Percentages III | Week 11
    3 Topics
    |
    1 Quiz
  12. Approximation & Estimation | Week 12
    1 Topic
    |
    1 Quiz
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Topic Content:

  • Fractions – Terminating | Recurring Decimals

This involves converting fractions to decimals.

There are two types of decimals. These are:

  • terminating
  • and recurring decimals.

1. Terminating Decimal:

Terminating decimals are obtained when the denominator of a fraction divides the numerate exactly.

Worked Example 9.1.1

Convert the following fractions to decimals:

a. \( \frac{3}{8}\)

b. \( \frac{1}{4}\)

c. \( \frac{2}{5}\)

Solution

a. \( \frac{3}{8}\)

div 7 e1606138297341

0.375 is a terminating decimal.

b. \( \frac{1}{4}\)

div5 e1606138154952

0.25 is a terminating decimal.

c. \( \frac{2}{5}\)

div8 e1606138459693

0.4 is a terminating decimal.

2. Recurring or Repeating Decimals:

Recurring decimals are obtained when the denominator of a fraction can not divide the numerator exactly. Some digits in a digit repeat infinitely.

Worked Example 9.1.2

Change the following to recurring decimals

a. \( \frac{2}{3}\)

b. \( \frac{5}{7}\)

c. \( \scriptsize 2 \frac{1}{3}\)

Solution

a. \( \frac{2}{3}\)

reoccuring e1606139339590

0.666…….. is a recurring decimal.

b. \( \frac{5}{7}\)

recurring decimal e1606140082698

 0.71428571….. is a recurring decimal.

c. \( \scriptsize 2 \frac{1}{3}\)

13 e1606140458405

= 0.333

\( \scriptsize 2 \frac{1}{3} \\ \scriptsize = 2 \: + \: 0.33333 \\ \scriptsize = 2.33333…….\)