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Knowing our Numbers Test - 22

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Knowing our Numbers Test - 22
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  • Question 1
    1 / -0
     Round off $$690$$ to nearest $$100$$.
    Solution
    The given number is $$690.$$ Its tens digit are $$9$$, which is greater than $$5$$. 

    So, we increase the digits at hundreds place by $$1$$ and replace each one of the digits at tens and one's place by $$0$$ to round off the given number to nearest $$100$$.
    $$\therefore$$   Round off $$690$$ to nearest $$100$$ is $$700.$$
  • Question 2
    1 / -0
    The smallest three-digit number using the digits $$3, 7, 8, 6$$ (repetition not allowed) is
    Solution
    $$3,9,7,8,6$$
    Smallest three digit number will be formed my smallest of the three digits from the given ones, i.e. $$3,6,7$$

    Smallest three digits number possible $$= 367$$
  • Question 3
    1 / -0
    Express in Indian system of numeration.
    Three million four hundred thirty five thousand two hundred twenty five.
    Solution
    Let us convert the given number in words into numerals as follows:

    Three million$$=30,00,000$$
    Four hundred thirty five thousand$$=435,000$$
    Two hunderd$$=200$$
    Twenty$$=20$$
    Five$$=5$$

    Now, add the numerals as shown below:

    $$3000000+435000+200+20+5=34,35,225$$

    Therefore, the required number is $$34,35,225$$.

    Hence, the Indian system of numeration is $$34,35,225$$.
  • Question 4
    1 / -0
    Express "XLIX" in English numeral.
    Solution
    In Roman numeral form, 
    $$50 = L$$
    $$\Rightarrow 40 = XL$$

    Also, $$9 = IX$$

    $$\Rightarrow XLIX = 49$$
  • Question 5
    1 / -0
    A person bought $$32$$L of water for the football game and he divided the water equally into $$8$$ cooler. Find the quantity of water in each of the coolers by converting it into millilitres.
    Solution
    Quantity of water$$=32ℓ=32000㎖$$
    Number of cooler$$=8$$
    $$\therefore $$Quantity of water in each cooler$$=\cfrac { 32000 }{ 8 } =4000㎖$$
  • Question 6
    1 / -0
    Express in Indian number system:
    $$35,987,123$$
    Solution
    According to Indian system of numeration given number can be written as $$3,59,87,123.$$
  • Question 7
    1 / -0
     Write the smallest $$4$$ digit number formed using the digits $$8,3,0,1$$.
    Solution
    The ascending order of the given numbers $$8,3,0,1$$ is:

    $$0 < 1 < 3 < 8$$ 

    A number cannot begin with $$0$$, so we will put it in the second place. 

    The smallest digit (other than $$0$$) is $$1$$. 

    Therefore, the number will begin with $$1$$.
     
    Thus, the smallest number formed is $$1038$$.

    Hence, the smallest $$4$$ digit number formed is $$1038$$.
  • Question 8
    1 / -0
    The number reads "Forty five lakh sixty one thousand two hundred thirty four"

    Solution
    Let us convert the given number in words into numerals as follows:

    Forty five lakh$$=45,00,000$$
    Sixty one thousand$$=61,000$$
    Two hunderd$$=200$$
    Thirty$$=30$$
    Four$$=4$$

    Now, add the numerals as shown below:

    $$4500000+61000+200+30+4=4561234$$

    Therefore, the required number is $$45,61,234$$.


  • Question 9
    1 / -0
    Find a smallest four digit number using the digits $$7,8,9,5$$ such that the number thus formed has $$9$$ at its hundreds place and $$8$$ at its one's place.
    Solution
    The ascending order of the given numbers $$7,8,9,5$$ is:

    $$5 < 7 < 8 < 9$$ 

    We observe that the smallest digit is $$5$$ and the largest digit is $$9$$.
     
    Therefore, the smallest number formed is $$5789$$.

    But it is given that the number formed should have $$9$$ at its hundredth place and $$8$$ at its one's place, therfore, the required number is:

    $$5978$$ where $$8$$ is at one's place, $$7$$ is at tens place, $$9$$ is at hundredth place and $$5$$ is at thousandth place. 

    Hence, the smallest $$4$$ digit number formed is $$5978$$.
  • Question 10
    1 / -0
    Express in Indian number system.
    $$4,456,765$$
    Solution
    Let us convert the given numerals into words as follows:

    $$44,00,000=$$Forty four lakh
    $$56,000=$$Fifty six thousand
    $$700=$$Seven hundred
    $$60=$$Sixty
    $$5=$$Five

    Now, combine the numbers in words as shown below:

    Fourty four lakh fifty six thousand seven hundred sixty five.

    Hence, the Indian number system is fourty four lakh fifty six thousand seven hundred sixty five.
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