Page 93 - Ganit Kaushal
P. 93

(d)  False, since 0 is a whole number, but not a natural number.

                         (e)  False, since 0 is the smallest whole number.
                         (f)  False, since 13 lies after 12.             (g)  False, since 6174 is the Kaprekar number.
                         (h)  True                                       (i)  True
                         (j)  False, since the 3rd should be 16, not 18.   (k)  False, since remainder 9 > 7 (divisor).

                  Subjective/Competency Based Questions
                   Ex 14.  Place commas correctly and write the numerals.
                         (a)  Seventy-three lakh seventy-five thousand three hundred seven.
                         (b)  Nine crore five lakh forty-one.
                         (c)  Seven crore fifty-two lakh twenty-one thousand three hundred two.

                         (d)  Fifty-eight million four hundred twenty-three thousand two hundred two.
                         (e)  Twenty-three lakh thirty thousand ten.
                    Sol. (a)  73,75,307         (b)  9,05,00,041         (c)  7,52,21,302        (d)  58,423,202
                         (e)  23,30,010

                   Ex 15.  Insert commas suitably and write the names according to the Indian System of Numeration.
                         (a)  87595762          (b)  8546283             (c)  99900046           (d)  98432701
                    Sol. (a)  8,75,95,762; Eight crore seventy-five lakh ninety-five thousand seven hundred sixty-two.
                         (b)  85,46,283; Eighty-five lakh forty-six thousand two hundred eighty-three.
                         (c)  9,99,00,046; Nine crore ninety-nine lakh forty-six.

                         (d)  9,84,32,701; Nine crore eighty-four lakh thirty-two thousand seven hundred one.
                   Ex 16.  Insert commas suitably and write the names according to the International System of Numeration.
                         (a)  78921092          (b)  7452283             (c)  99985102           (d)  48049831

                    Sol. (a)  78,921,092; Seventy-eight million nine hundred twenty-one thousand ninety-two.
                         (b)  7,452,283; Seven million four hundred fifty-two thousand two hundred eighty-three.
                         (c)  99,985,102; Ninety-nine million nine hundred eighty-five thousand one hundred two.
                         (d)  48,049,831; Forty-eight million forty-nine thousand eight hundred thirty-one.
                   Ex 17.  In each of the following pairs of numbers, state which whole number is on the left of the other number
                          on the number line. Also write them with the appropriate sign (>, <) between them.
                         (a)  530, 503          (b)  370, 307            (c)  98765, 56789       (d)  9830415, 10023001

                    Sol. (a)  Because 530 > 503, therefore 503 is on the left side of 530 on the number line.
                         (b)  Because 370 > 307, 307 is on the left side of 370 on the number line.
                         (c)  Because 98765 > 56789, 56789 is on the left side of 98765 on the number line.

                         (d)  Because 98,30,415 < 1,00,23,001, therefore 98,30,415 is on the left side of 1,00,23,001 on the
                             number line.

                   Ex 18.  Find the difference between the largest number of seven digits and the smallest number of eight digits.
                    Sol.  Largest seven digit number = 99,99,999
                          Smallest eight digit number = 1,00,00,000
                          \ Required difference = 10000000 – 9999999 = 1.



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