6th_Math_1_1

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    Exercise 1.1

    Q. 1

    Fill in the blanks:(a) 1 lakh = _____ ten thousand.(b) 1 million = _____ hundred thousand.

    (c) 1 crore = _____ ten lakh.(d) 1 crore = _____ million.(e) 1 million = _____ lakh.

    Solution:

    (a) 1 lakh = _____ten thousand.Solution: 1 lakh = 1,00,000

    1 lakh = 10 10,0001 lakh = ten ten thousand

    Ans: 1 lakh = tenten thousand

    (b) 1 million = _____ hundred thousand.Solution: 1 million = 10,00,000

    1 million = 10 100 10001 million = ten hundred thousand

    Ans: 1 million = tenhundred thousand

    (c) 1 crore _____ ten lakhSolution: 1 crore = 100,00,000

    1 crore = 10 10,00,0001 crore = ten ten lakh

    Ans: 1 crore = tenten lakh

    (d) 1 crore = _____ millionSolution: 1 crore = 100,00,000

    1 crore = 10 10,00,0001 crore = ten million

    Ans: 1 crore = tenmillion

    (e) 1 million = _____ lakhSolution: 1 million = 10,00,0001 million = 10 100,0001 million = ten lakh

    Ans: 1 million = tenlakh

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    Q. 2

    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.

    Solution:

    S.No NumberName

    C TL L TTh Th H T O Numeralinsertingcommas

    a) Seventy threelakh seventyfive thousand

    three hundredseven

    7 3 7 5 3 0 7 73,75,307

    b) Nine crore fivelakh forty one

    9 0 5 0 0 0 4 1 9,05,00,041

    c) Seven crorefifty two lakhtwenty onethousand threehundred two

    7 5 2 2 1 3 0 2 7, 52, 21, 302

    e) Twenty three

    lakh thirtythousand ten

    2 3 3 0 0 1 0 23,30,010

    d) Fifty eightmillion fourhundredtwenty threethousand twohundred two

    5

    Million

    8

    Thousands

    4 2 3

    H

    2

    T

    0

    O

    2 58,423,202

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    Q. 3

    Insertcommas suitably and write the names according to Indian System of Numeration :(a) 87595762 (b) 8546283 (c) 99900046 (d) 98432701

    Solution:

    S.NoNumber C TL L TTh Th H T O Numeral

    insertingcommas

    Numbername

    (a) 87595762 8 7 5 9 5 7 6 2 8,75,95,762 Eight croseventy flakh, ninfivethousandseven

    hundredsixty two

    (b) 8546283 8 5 4 6 2 8 3 85,46,283 Eighty fivlakh, fortsix thoustwo hundeighty th

    (c) 99900046 9 9 9 0 0 0 4 6 9,99,00,046 Nine crorninety nilakh, fort

    six.(d) 98432701 9 8 4 3 2 7 0 1 9,84,32,701 Nine cror

    eighty folakh, thirtwothousandsevenhundred

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    Q. 4

    Insert commas suitably and write the names according to International System of Numeration :(a) 78921092 (b) 7452283 (c) 99985102 (d) 48049831

    Solution:

    Sr.No

    Number Millions Thousands H T O Numberinsertingcommas

    Numbename

    (a) 78921092 7 8 9 2 1 0 9 2 78,921,092 Seventymillionhundretwentythousanninety

    (b) 7452283 7 4 5 2 2 8 3 7,452,283 Seven

    millionhundretwothousantwo hueighty

    (c) 99985102 9 9 9 8 5 1 0 2 99,985,102 Ninetymillionhundreeighty

    thousanone hutwo.

    (d) 48049831 4 8 0 4 9 8 3 1 48,049,831 Forty emillionninethousaneighthundrethirty o

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    Exercise 1.2

    Q. 1

    A book exhibition was held for four days in a school. The number of tickets sold at the counter on thefirst, second, third and final day was respectively 1094, 1812, 2050 and 2751. Find the total number oftickets sold on all the four days.

    Solution:

    Q. 2

    Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches.He wishes to complete 10,000 runs. How many more runs does he need?

    Solution:

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    Q. 3

    In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700votes. By what margin did the successful candidate win the election?

    Solution:

    Q. 4

    Kirti bookstore sold books worth Rs 2,85,891 in the first week of June and books worth Rs 4,00,768 inthe second week of the month. How much was the sale for the two weeks together? In which week wasthe sale greater and by how much?

    Solution:

    Thus, the sale for the two weeks together was 6, 86, 659.Since, 400768 > 285891, sale in second week was greater than the sale in first week.

    Difference in sale value =

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    Q. 5

    Find the difference between the greatest and the least number that can be written using the digits 6, 2,7, 4, 3 each only once.

    Solution:

    Therefore, the difference between the greatest and the least number that can be written using the

    digits 6, 2, 7, 4, 3 each only once is 52965.

    Q. 6

    A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in themonth of January 2006?

    Solution:

    Therefore, 87,575 screws were produced in January.

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    Q. 7

    A merchant had Rs 78,592 with her. She placed an order for purchasing 40 radio sets at Rs 1200 each.How much money will remain with her after the purchase?

    Solution:

    Q. 8

    A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greaterthan the correct answer? (Hint: Do you need to do both the multiplications?)

    Solution:

    Q. 9

    To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched andhow much cloth will remain?

    (Hint : Convert data in cm )

    Solution:

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    Therefore, 18 shirts can be stitched out of 40 m cloth and 130 cm i.e. 1 m 30 cm cloth will remain.

    Q. 10

    Medicine is packed in boxes, each weighing 4 kg 500g. How many such boxes can be loaded in a vanwhich cannot carry beyond 800 kg?

    Solution:

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    Q. 11

    The distance between the school and the house of a students house is 1 km 875 m.Everyday she walks both ways. Find the total distance covered by her in six days.

    Solution:

    Therefore, the total distance covered by her in 6 days is 22500 m = 22 km 500 m.

    Q. 12

    A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?

    Solution:

    Therefore, in 180 glasses each of 25 ml capacity, the vessel can be filled.

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    Exercise 1.3

    Q. 1

    Estimate each of the following using general rule:(a) 730 + 998 (b) 796 (c) 12,904 +2,888 (d) 28,292

    Make ten more such examples of addition, subtraction and estimation of their outcome.

    Solution:

    Next part is activity based. Hence, not done.

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    Q. 2

    Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by roundingoff to nearest tens):(a) 439 + 334 + 4,317 (b) 1,08,734 47,599 (c) 8325 491 (d) 4,89,348 48,365Make four more such examples.

    Solution:

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    Next part is activity based. Hence, not done.

    Q. 3

    Estimate the following products using general rule:(a) 578 161 (b) 5281 3491 (c) 1291 592 (d) 9250 29Make four more such examples.

    Solution:

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    Next part is activity based. Hence, not done.