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    • Question 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

      (a) 10

       

      (b) 10

       

      (c) 10

       

      (d) 10

       

      (e) 10

       

      Question 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.

      (a)73,75,307

      (b)9,05,00,041

      (c)7,52,21,302

      (d)58,423,202

      (e)23,30,010

      Question 3:

      Insert commas suitable and write the names according to Indian system of numeration:

      (a)87595762

      (b)8546283

      (c)99900046

      (d)98432701

      (a) 8,75,95,762

      Eight crore seventy-five lakh ninety-five thousand seven hundred sixty-two.

      (b) 85,46,283

      Eight-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.

      Question 4:

      Insert commas suitable and write the names according to International system of numeration:

      (a)78921092

      (b)7452283

      (c)99985102

      (d)48049831

      (a) 78,921,092

      Seventy-eight million nine hundred twenty-one thousand ninety-two

      (b) 7,452,483

      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

    • Question 1:

      Estimate each of the following using general rule:

      (a)730 + 998

      (b)796 – 314

      (c)12,904 + 2,888

      (d)28,292 – 21,496

      (a) 730 round off to 700 998 round off to 1000 Estimated sum = 1700

      (c) 12904 round off to 13000

      2888 round off to

      3000

      Estimated sum =

      16000

      (b) 796 round off to 800 314 round off to 300 Estimated sum = 500

      (d) 28292 round off to

      28000

      21496 round off to

      21000

      Estimated difference=

      7000

      Question 2:

      Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens):

      (a)439 + 334 + 4317

      (b)1,08,737 – 47,599

      (c)8325 – 491

      (d)4,89,348 – 48,365

      (a) 439 round off to

      400

      334 round off to

      300

      4317 round off to

      4300

      Estimated sum =

      5000

      (c) 8325 round off to

      8300

      491 round off to

      500

      Estimated difference = 7800

      (b) 108734 round off to

      108700

      47599 round off to

      47600

      Estimated difference =

      61100

      (d) 489348 round off to

      489300

      48365 round off to

      48400

      Estimated difference =

      440900

      Question 3:

      Estimate the following products using general rule:

      (a)578 x 161

      (b)5281 x 3491

      (c)1291 x 592

      (d)9250 x 29

    • Question 1:

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

      Number of tickets sold on first day

      =

      1,094

      Number of tickets sold on second day

      =

      1,812

      Number of tickets sold on third day

      =

      2,050

      Number of tickets sold on fourth day

      = + 2,751

      Total tickets sold

      =

      7,707

      Therefore, 7,707 tickets were sold on all the four days.

      Question 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?

      Runs to achieve

      =

      10,000

      Runs scored

      = – 6,980

      Runs required

      =

      3,020

      Therefore, he needs 3,020 more runs.

      Question 3:

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

      Number of votes secured by successful candidates

      =

      5,77,500

      Number of votes secured by his nearest rival

      = – 3,48,700

      Margin between them

      =

      2,28,800

      Therefore, the successful candidate won by a margin of 2,28,800 votes.

      Question 4:

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

      Books sold in first week

      =

      2,85,891

      Books sold in second week

      = + 4,00,768

      Total books sold

      =

      6,86,659

      Since, 4,00,768,> 2,85,891

       

       

      Therefore sale of second week is greater than that of first week.

      Books sold in second week

      =

      4,00,768

      Books sold in first week

      = – 2,85,891

      More books sold in second week

      =

      1,14,877

      Therefore, 1,14,877 more books were sold in second week.

      Question 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.

      Greatest five-digit number using digits 6,2,7,4,3

      =

      76432

      Smallest five-digit number using digits 6,2,7,4,3

      = – 23467

      Difference

      =

      52965

      Therefore the difference is 52965.

      Question 6:

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

      Number of screws manufactured in one day

      = 2,825

      Number of days in the month of January (31 days) = 2,825 x 31 = 87,575

      Therefore, the machine produced 87,575 screws in the month of January.

      Question 7:

      A merchant had 78,592 with her. She placed an order for purchasing 40 radio sets at 1,200 each. How much money will remain with her after the purchase?

      Cost of one radio

      = 1200

      Cost of 40 radios = 1200 x 40

      = 48,000

      Now,

       

       

      Total money with merchant

      =

      78,592

      Money spent by her

      = –48,000

      Money left with her

      =

      30,592

      Therefore, 30,592 will remain with her after the purchase.

      Question 8:

      A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer?

      Wrong answer = 7236 x 65

      Correct answer = 7236 x 56

      7236

      7236

      x 65

      x 56

      36180

      43416

      43416 x

      36180 x

      470340

      405216

      Difference in answers = 470340 – 405216 = 65,124

      Question 9:

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

      Cloth required to stitch one shirt

      = 2 m 15 cm

       

       

      = 2 x 100 cm + 15 cm

       

       

      = 215 cm

      Length of cloth = 40 m = 40 x 100 cm = 4000 cm

      Number of shirts can be stitched

      = 4000 ÷ 215

       

       

      18

       

      215

       

      4000

       

       

      215

       

      1850

       

       

      −1720

       

       

      130

       

      Therefore, 18 shirts can be stitched and 130 cm (1 m 30 cm) cloth will remain.

      Question 10:

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

      The weight of one box = 4 kg 500 g = 4 x 1000 g + 500 g = 4500 g Maximum load can be loaded in van = 800 kg = 800 x 1000 g = 800000 g Number of boxes = 800000 ÷ 4500

      4500

      177

      800000

      − 4500 35000 −31500 35000

      −31500

      3500

      Therefore, 177 boxes can be loaded.

      Question 11:

      The distance between the school and the house of a student’s house is 1 km 875 m. Every day she walks both ways. Find the total distance covered by her in six days.

      Distance between school and home Distance between home and school Total distance covered in one day

      Distance covered in six days

      =1.875 km

      =+ 1.875 km

      =3.750 km

      =3.750 x 6 = 22.500 km

      Therefore, 22 km 500 m distance covered in six days.

      Question 12:

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

      Capacity of curd in a vessel = 4 litres 500 ml = 4 x 1000 ml + 500 ml = 4500 ml Capacity of one glass = 25 ml

      Number of glasses can be filled = 4500 ÷ 25

      180

      25 4500

      25

      200

      −200

      0

      Therefore, 180 glasses can be filled by curd.

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