Question 44 of 58beginner🔧 ApplyNumerical2 marks

Convert the following rational numbers in the form of a terminating decimal or non-terminating and repeating decimal, whichever the case may be, by the process of long division:

(i)

350\frac{3}{50}

Answer

0.06

(ii)

29\frac{2}{9}

Answer

0.2‾\overline{2}

Explanation

(i) Long division of 3/50: Dividing 3 by 50, we add a decimal point and zeros to the dividend. 3.00 ÷ 50 = 0.06. Since the remainder becomes 0, the decimal expansion terminates. Thus, 3/50 = 0.06.

(ii) Long division of 2/9: Dividing 2 by 9, we add a decimal point and zeros. 2.0 ÷ 9 gives 0.2 with a remainder of 2. Since the remainder repeats, the division process loops, creating a repeating decimal. Thus, 2/9 = 0.222... = 0.2‾\overline{2}.

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