JSS2: MATHEMATICS - 1ST TERM
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Properties of Whole Numbers I | Week 14 Topics|1 Quiz
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Properties of Whole Numbers II | Week 24 Topics|1 Quiz
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Properties of Whole Numbers III | Week 35 Topics|1 Quiz
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Indices | Week 42 Topics|1 Quiz
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Laws of Indices | Week 55 Topics|1 Quiz
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Whole Numbers & Decimal Numbers | Week 64 Topics|1 Quiz
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Standard Form | Week 73 Topics|1 Quiz
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Significant Figures (S.F) | Week 84 Topics|1 Quiz
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Fractions, Ratios, Proportions & Percentages I | Week 96 Topics|1 Quiz
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Fractions, Ratios, Proportions & Percentages II | Week 104 Topics|1 Quiz
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Fractions, Ratios, Proportions & Percentages III | Week 113 Topics|1 Quiz
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Approximation & Estimation | Week 121 Topic|1 Quiz
Fractions – Terminating | Recurring Decimals
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. \( \frac{3}{8}\)

0.375 is a terminating decimal.
b. \( \frac{1}{4}\)

0.25 is a terminating decimal.
c. \( \frac{2}{5}\)

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

0.666…….. is a recurring decimal.
b. \( \frac{5}{7}\)

0.71428571….. is a recurring decimal.
c. \( \scriptsize 2 \frac{1}{3}\)

= 0.333
\( \scriptsize 2 \frac{1}{3} \\ \scriptsize = 2 \: + \: 0.33333 \\ \scriptsize = 2.33333…….\)