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Fractions and Decimals Test - 19

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Fractions and Decimals Test - 19
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  • Question 1
    1 / -0
    The value of $$\cfrac {3}{4}\times \cfrac {4}{3}\times \cfrac {2}{5}= ......$$
    Solution
    $$\cfrac {3}{4}\times \cfrac {4}{3}\times \cfrac {2}{5}=\dfrac{2}{5}$$
    So, correct answer is option A.
  • Question 2
    1 / -0
    Expanded form of 92083.1
    Solution
    Expanded form of 92083.1
    $$90000+2000+80+3+0.1$$
  • Question 3
    1 / -0
    In improper fraction, the numerator is always _____ the denominator.
    Solution
    In an improper fraction, the numerator is always greater than  the denominator.
    Eg $$\displaystyle \frac{9}{5}$$,$$\displaystyle \frac{5}{3}$$
  • Question 4
    1 / -0
    What is the value of $$7.854 \times 10$$ ?
    Solution
    $$7854$$
      $$\times 10$$
    $$\overline{78540}$$
    Now , we have decimal point upto 3 places so shifting point to 3 from backwards
    Hence, $$7.854 \times 10 = 78.540=78.54$$
  • Question 5
    1 / -0
    Improper fraction of $$12\displaystyle \frac {1}{6}$$ is
    Solution
    A mixed fraction is usually in the form $$Whole\,number \dfrac{Numerator}{Denominator}$$.

    It can be written as improper fraction using $$\displaystyle \frac {(Whole\,number\, \times\, Denominator)\, +\, Numerator}{Denominator}$$

    $$\Rightarrow 12\dfrac{1}{6} = \displaystyle \frac {12\,\times\, 6\, +\, 1}{6}$$

    $$\Rightarrow\, \displaystyle \frac {72\, +\, 1}{6}\, =\, \displaystyle \frac {73}{6}$$
  • Question 6
    1 / -0
    $$58.326 \times 463.9 \times 0.0081$$ is same as 
    Solution
    In option A,
    $$58.326\div10 = 5.8326$$
    $$463.9\div100 = 4.639$$
    $$0.0081\times1000 = 8.1$$

    Multiplication by $$1000$$ and Division by $$10\times100 = 1000$$ gives the same result.

    Answer : $$5.8326 \times 4.639 \times 8.1$$
  • Question 7
    1 / -0
    $$\cfrac {4}{7}\times \cfrac {7}{4}\times 0=.......$$
    Solution
    Any number multiplied with $$0$$ gives $$0$$. 
    So, $$\cfrac {4}{7}\times \cfrac {7}{4}\times 0=0$$
    Hence, correct answer is option C.
  • Question 8
    1 / -0
    Simplified value for $$(17.5+2.5)\div 5$$ is ____ .
    Solution
    To simplify: $$\left( 17.5+2.5 \right) \div 5$$

    Now,
    $$\left( 17.5+2.5 \right) \div 5$$
    $$=\left( 20.0 \right) \div 5$$
    $$ =20\div 5$$
    $$ =4$$

    Hence, $$Op-D$$ is correct .
  • Question 9
    1 / -0
    Evaluate the expression $$\displaystyle 1.5625+0.75-0.3125$$
    Solution
    $$1.5625 + 0.75 - 0.3125$$
    $$= 2.3125 - 0.3125 = 2$$
  • Question 10
    1 / -0
    Simplified value for $$12.500 + 8.75 + 2.25$$ is
    Solution
    Given that we have to find the sum of three numbers

    $$ 12.500 , 8.75 , 2.25 $$

    $$8.75+2.25 = 11.00$$ 

    $$12.500+8.75+2.25 = 12.500+11.000 = 23.500$$ 

    So Option $$A$$ is correct
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