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Decimals Test - 10

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Decimals Test - 10
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  • Question 1
    1 / -0
    On the above number line, 'y' represents

    Solution
    The given decimals are $$0.8$$ and $$0.9$$
    $$\Rightarrow$$  Difference between decimals $$=0.9 - 0.8 = 0.1$$
    Now line is divided in $$5$$ equal  segments.
    Value of each segment is:
    $$\Rightarrow$$  $$ 0.1 \div 5 = \dfrac{0.1}{5}=0.02$$
    $$y$$ is placed at $$3rd$$ segment from $$0.8$$. 
    $$\therefore$$  Value of $$y$$ $$=0.8+0.02+0.02+0.02 = 0.86$$
  • Question 2
    1 / -0
    A basket of grapes weighs 2.5 kg and a basket of strawberries weighs 4.25 kg. What is the difference in weights between both baskets?

    Solution
    $$4.24$$
    $$-\underline {2.5}$$
    $$\underline {1.75 kg}$$
  • Question 3
    1 / -0
    Sum of $$1.8, 16.3$$ and $$72.985$$ is _____ 
    Solution
    $$1.800+16.300+72.985=91.085$$

    So option C is the correct answer.
  • Question 4
    1 / -0
    Difference of 32 and 27.091 is
    Solution
    32.000-27.091=4.909
    So option C is the correct answer.
  • 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
    Sum of $$0.3, 0.03$$ and $$0.003$$ is _____ 
    Solution
    To add $$3$$ decimal numbers of different decimal values we pick the number with the highest decimal value and expand all the other numbers to the same value by adding $$0$$ after the decimal point.

    $$0.300+0.030+0.003=0.333$$

    So option D is the correct answer!
  • Question 7
    1 / -0
    Fraction for $$0.12$$ is
    Solution
    $$ 0.12 = \dfrac{12}{100}$$
  • Question 8
    1 / -0
    Decimal form of $$\dfrac {78}{100}$$ is
    Solution
    0.78 is the decimal representation for $$\dfrac{78}{100}$$
  • Question 9
    1 / -0
    Expanded form of 78.059 is
    Solution
    The number system has places. We all know the ones tens hundredths places. 

    After decimal the first decimal digit from the decimal point is the tenth, the second decimal digit from the decimal point is the hundredth and the third decimal digit from the decimal point is the thousandths digit. 

    Read the whole set of three decimal digits as a number, and say, "tenths", "hundredths" and “thousandths.” 78.059 has 0 tenths, 5 hundredths, and 9 thousandths. 

    While 78.059 is the sum of $$70+8+\dfrac{0}{10} +\dfrac{5}{100} + \dfrac{9}{1000} $$.

    So option B is the correct answer.
  • Question 10
    1 / -0
    Fraction for 0.04 is:
    Solution
    Given: $$0.04$$ $$=\dfrac{0.04}{1}$$
    Here, we have two numbers after the decimal point. So, we multiply both the numerator and the denominator by $$100.$$

               $$=\dfrac{0.04\times 100}{1\times 100}$$

               $$=\dfrac{4}{100}$$

    $$\therefore$$  Fraction for $$0.04$$ is $$\dfrac{4}{100}$$

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