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Fractions and Decimals Test - 23

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Fractions and Decimals Test - 23
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  • Question 1
    1 / -0
    Evaluate:
    $$\displaystyle 25+\frac{3}{100}+\frac{4}{1000}=$$ _________
    Solution
    $$5 + \dfrac { 3}{100} + \dfrac{4}{1000}$$
    $$= 25 + 0.03 + 0.004$$
    $$=25.034$$
  • Question 2
    1 / -0
    If $$0.111$$ is approximately equal to $$\dfrac {1}{9}$$, then the approximate value of $$0.777$$ is
    Solution
    We will find the value of $$0.777$$ by expressing it in terms of $$0.111.$$

    $$\begin{aligned}{}0.777 &= 7 \times 0.111\\ &= 7 \times \frac{1}{9}\\ &= \frac{7}{9}\end{aligned}$$

    Hence, option $$B$$ is correct.
  • Question 3
    1 / -0
    $$143.6\div 2000= .............$$
    Solution
    $$143.6\div 2000=71.8\div 1000$$
    $$=0.0718$$
  • Question 4
    1 / -0
    Which of the following is an improper fraction?
    Solution
    Since numerator > denominator only in option $$A.$$ 
    Therefore, it is correct.
  • Question 5
    1 / -0
    Sum of 0.5, 12.56 and 0.003 is
    Solution
    We know that to add numbers with different decimal places we expand all the numbers to the same decimal places by expanding zeroes.

    So, the sum of 0.5 ,12.56 and 0.003 is

    0.500+12.560+0.003 =13.063 

    Hence, the answer is 13.063

    So, option A is the correct answer.
  • Question 6
    1 / -0
    Divide $$150.75\div 0.6$$
    Solution
    $$150.75\div 0.6$$
    $$\Rightarrow$$  $$\dfrac{150.75}{0.6}=\dfrac{150.75\times 10}{0.6\times 10}$$

                         $$=\dfrac{1507.5}{6}$$

                         $$=251.25$$
  • Question 7
    1 / -0
    Convert $$\dfrac{13}{7}$$ into a mixed fraction.
    Solution
    Divide $$13$$ by $$7$$. The quotient is $$1$$ and remainder is $$6$$. 

    $$\therefore \dfrac{13}{7}=1\dfrac{6}{7}$$

    So, option A is correct.
  • Question 8
    1 / -0
    Improper fraction of $$\displaystyle 12\tfrac{1}{6}$$ is
    Solution
    $$\displaystyle \frac{WN \times D + N}{D}$$ 

    $$\displaystyle \frac{12\times 6+1}{6}= \frac{72+1}{6}= \frac{73}{6}$$
  • Question 9
    1 / -0
    Which of the following is improper fraction?
    Solution
    A fraction in which the numerator is greater than the denominator is called an improper fraction.
    $$\therefore \dfrac{4}{3}$$ is correct.
  • Question 10
    1 / -0
    $$0.002\times 0.5=$$?
    Solution
    $$2\times 5=10$$.
    Sum of decimal places $$= 4$$
    $$\therefore 0.002\times 0.5=0.001$$
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