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Frank Learning Maths Class 5 Solutions Chapter 1 Number and Numeration
Welcome to NCTB Solution. Here with this post we are going to help 5th class students for the Solutions of Frank Learning Maths Class 5 Book, Chapter 1 Number and Numeration. Here students can easily find step by step solutions of all the problems for Number and Numeration. Here students will find solutions for Exercise 1.1, 1.2, 1.3, 1.4, 1.5 and 1.6.
Exercise wise proper solutions for every problems. All the problem are solved with easily understandable methods so that all the students can understand easily. Here in this post all Mathematic solutions are based on the CBSE latest curriculum.
Number and Numeration Exercise 1.1 Solution
Question no – (1)
Solution :
(a) 3,56,257
= Three lakh fifty-six thousand two hundred two hundred fifty seven.
(b) 479,807
= Four hundred seventy nine thousand eight hundred seven.
(c) 9,06,007
= Nine lakh six thousand seven.
(d) 274,800
= Two hundred seventy four thousand eight hundred.
(e) 736,027
= Seven hundred thirty six thousand twenty seven.
Question no – (2)
Solution :
(a) Two lakh sixty-six thousand forty-three
= 2,66,043
(b) Sixty-eight thousand nine hundred fifteen
= 68, 915
(c) Two hundred fifty-nine thousand five hundred eighty
= 7,15,580
(d) Seven lakh fifteen thousand two hundred thirty
= 7,15,580
(e) Six hundred eighty-eight thousand five hundred fifty-four
= 688,554
Question no – (3)
Solution :
(a) 112, 132 > 112,130
(b) 9,27,587 < 9,27,785
(c) 5,22,090 < 6,60,400
(d) 853.616 > 853,606
(e) 844,803 = 844,803
(f) 9,40,208 < 9,40,209
Question no – (4)
Solution :
(a) 227386 in expanded form,
= 200000 + 20000 + 7000 + 300 + 80 + 6
(b) 576491 in expanded form,
= 500000 + 70000 + 6000 + 400 + 90 + 1
(c) 963237 in expanded form,
= 900000 + 60000 + 3000 + 200 + 30 + 7
(d) 425310 in expanded form,
= 400000 + 20000 + 5000 + 300 + 10
Question no – (5)
Solution :
(a) 7,00,000 + 80,000 + 2000 + 600 + 90 + 6
= 7,8,2696
(b) 300,000 + 90,000 + 600 + 500 + 70 + 5
= 396575
(c) 8,00,000 + 30,000 + 500 + 40 + 2
= 8,30,542
(d) 9,00,000 + 20,000 + 600 + 400 + 70
= 9,26470
(e) 600,000 + 60,000 + 5000 + 500 + 60 + 5
= 665565
Question no – (6)
Solution :
(a) The successor of 502566 is
= 502566 + 1
= 502567
(b) The successor of 444908 is
= 444908 + 1
= 444909
(c) The successor of 122329 is
= 122329 + 1
= 122330
(d) The successor of 613657 is
= 613657 + 1
= 613658
(e) The successor of 346890 is
= 346890 + 1
= 346891
(f) The successor of 523808 is
= 523808 + 1
= 523809
Question no – (7)
Solution :
(a) The predecessor of 824787 is
= 824787 – 1
= 824786
(b) The predecessor of 744908 is
= 744908 – 1
= 744907
(c) The predecessor of 906707 is
= 906707 – 1
= 906706
(d) The predecessor of 522661 is
= 522661 – 1
= 522660
(e) The predecessor of 544912 is
= 544912 – 1
= 544911
(f) The predecessor of 604071 is
= 604071 – 1
= 604070
Question no – (9)
Solution :
(a) Given numbers, 34795, 431826, 132471, 347951
∴ In ascending order,
= 34795 < 431826 < 132471 < 347951
(b) Given numbers, 835402, 283540, 354028, 540283
In ascending order,
= 835402 < 283540 < 354028 < 540283
(c) Given numbers, 673562, 603657, 665732, 623756, 632765
In ascending order,
= 673562 < 603657 < 665732 < 623756 < 632765
Question no – (10)
Solution :
(a) Given number, 999843, 984931, 990991, 919990, 900099
In descending order,
= 999843 > 984931 > 990991 > 919990 > 900099
(b) Given number, 568891, 568981, 458690, 86549, 685499
In descending order,
= 685499 > 568981 > 568891 > 458690 > 86549
(c) Given number, 310001, 300001, 311000, 300011, 310110
∴ In descending order,
= 310001 > 300001 > 311000 > 300011 > 310110
Question number – (11)
Solution :
Smallest 5 digit number is
= 30468
Greatest 5 digit number is
= 86430
Question no – (12)
Solution :
(a) The smallest 6-digit numbers is 300059.
The greatest 6-digit numbers is 999430.
(b) The smallest 6-digit number is 112277
The greatest 6-digit number is 772211
(c) The smallest 6-digit number is 112478
The greatest 6-digit number is 887421
Question no – (13)
Solution :
(a) 274 to the nearest tens,
= Required no = 270
(b) 3048 to the nearest hundreds,
= Required no = 3000
(c) 15851 to the nearest thousands
= 15,000
Number and Numeration Exercise 1.2 Solution
Question no – (1)
Solution :
(a) 67,80,956
= Sixty-seven lakh eighty-thousand nine hundred fifty six.
(b) 80,08,203
= Eight lakh eight thousand two hundred three
(c) 88,67,402
= Eighty-eight lakh sixty-seven thousand four hundred two.
(d) 98,00,765
= Ninety-eight seven hundred sixty-five
(f) 8,90,54,212
= Eight crore ninety lakh fifty four thousand two hundred twelve.
(g) 33,45,44,231
= Three crore forty-five lakh forty four thousand two hundred thirty one.
Question no – (2)
Solution :
(a) Thirty-two lakh fifteen thousand seven hundred two
= 32,15,702
(b) Ninety-two lakh fifty-six thousand eight hundred ninety-two
= 92,56,892
(c) Three crore ten lakh seven thousand four
= 3,10,07004
(d) Seven crore fifty-eight lakh forty thousand two hundred twelve
= 7,58,40,212
(e) Twelve crore fifty-six lakh four hundred forty-five
= 12,56,00 445
(f) Eighty-nine crore thirteen lakh fifty-six thousand one hundred twenty-three
= 89,13,56,123
Question no – (3)
Solution :
(a) 6 digits
= 1,00,000
(b) 8 digits
= 1,00,00,000
(c) 9 digits
= 10,00,00,000
Question number – (4)
Solution :
No, the number noted by the media person is not correct.
The right one is,
= 35,04,60,102
Number and Numeration Exercise 1.3 Solution
Question no – (1)
Solution :
(a) 3,445,613
= Three million four hundred fifty-five thousand six hundred thirteen
(b) 31,831,890
= Thirty-one million eight hundred thirty-one thousand eight hundred ninety
(c) 22,896,332
= Twenty two million eight hundred ninety-six thousand three hundred thirty two.
(d) 70,707,315
= Seventy million seven hundred seven thousand three hundred fifteen.
(e) 120,003
= One hundred twenty million three thousand four hundred five.
(f) 201, 887,895
= Two hundred one million eight eighty seven thousand eight ninety five.
Question no – (2)
Solution :
(a) Two million five hundred thirty thousand three hundred twenty-four
= 2,530,324
(b) Sixty million eighty-four thousand two hundred seventy-one
= 60,84,217
(c) Ninety-three million three hundred thousand four hundred forty
= 93,300,440
(d) Four hundred thirteen million two hundred forty-four
= 413,000,224
(e) Five hundred twenty-one million eight hundred forty-five thousand six hundred fifty nine
= 521,845,659
(f) Nine hundred million twenty-one thousand seven hundred twenty-one
= 900,021,721
Question number – (3)
Solution :
The given entry is Wrong.
The Right one is
= $802, 354, 012
Question number – (4)
Solution :
Indian system of numeration :
(a) 78,93,815
(b) 90,65,726
(c) 2,53,72,561
(d) 2,56,88,912
(e) 69,089,879
International system of numeration :
(a) 7893815
(b) 9065726
(c) 25372561
(d) 25688912
(e) 69089879
Question number – (5)
Solution :
(a) 6,605,445
= 66,05,445
(b) 15,403,503
= 1,54,03,503
(c) 775,908,464
= 77,59,08,464
Question number – (6)
Solution :
(a) 56,12,231
= 5,612,231
(b) 7,45,44,342
= 74,544,342
(c) 43,40,13,503
= 43,40,13,503
Question number – (7)
Solution :
Indian place value charts
(a) 4,53,22,342
(b) 90,40,30,300
(c) 16,75,009
(d) 87,45,023
(e) 7,70,45,123
International place value charts
(a) 45,322,342
(b) 904,030,300
(c) 1,675,009
(d) 8,745,023
(e) 77,045,123
Question no – (8)
Solution :
(a) 100 thousands = 1 lakh
(b) 1 million = 10 lakhs
(c) 10 million = 1 crore
(d) 100 millions = 10 crores.
(e) 1 million = 10 hundred thousands
Number and Numeration Exercise 1.4 Solution
Question no – (1)
Solution :
(a) 3,5,(6),740
∴ Place value of 6 is = 6000
(b) 63,(6)2,246
∴ Place value of 6 is = 60,000
(c) 8,511,9(0)1
∴ Place value of 0 is = 0
(d) 773, (6) 81,640
∴ Place value of 6 is = 6,00,000
(e) (5)3, 58, 24,960
∴ Place value of 5 is = 50,00,00,000
(f) 9,859, (6)25
∴ Place value of 6 is = 600
(g) 34,50,75,07(3)
∴ Place value of 3 is = 3
(h) 60,0(3)4, 484
∴ Place value of 3 is = 30,000
Question number – (2)
Solution :
(b) 500,000 in 29,503,520
= 29503,520
(c) 60,00,00,000 in 63,61,03,479
= (6)3,61,03,479
(d) 80,000,000 in 384,000,364
= 3(8)4,000,364
(e) Eighty lakh in 48,82,80,841
= 48,(8)2,80,841
(f) One crore in 11,10,10,101
= 1(1),10,10,101
(g) Fifty crore in 58,50,40,032
= (5)8,50,40,032
(h) Seven million in 47,707,174
= 4(7), 707, 174
(i) Fifty million in 550,550,540
= 5(5)0,550,540
(j) Two hundred million in 243,000,001
= (2)43,000,001
Question no – (3)
Solution :
(a) 492652 in expanded form,
= 400000 + 90000 + 2000 + 600 + 50 + 2
(b) 6503912 in expanded form,
= 6000000 + 500000 + + 3000 + 900 + 10 + 2
(c) 2300485 in expanded form,
= 2000000 + 300000 + 400 + 80 + 5
(d) 5072109 in expanded form,
= 5000000 + 70000 + 2000 + 1000 + 9
(e) 7560120 in expanded form,
= 7000000 + 500000 + 60000 + 800 + 20
Question no – (4)
Solution :
(a) 3000000+400000 + 70000 + 4000 + 500 + 50 + 5, in short form,
= 3474555
(b) 40000000 + 7000000 + 500000 + 40000 + 3000 + 200+ 10+ 0 in short form,
= 47543210
(c) 8000000 + 800000 + 80000 + 8000 + 80 + 8 in short form,
= 8888088
(d) 60000000 + 2000000 + 100000 + 40000 + 9000 + 9 in short form,
= 62149009
Question number – (5)
Solution :
(a) 3, (7)8, (4) 52
= 70,000 + 400
= 70,400
(b) 4, (7) 5, (6) 0,0(8) 4
= 7000000 + 60000 + 80
= 70,60,080
(c) 41, (0) 5, 0 3, 681
= 0 + 3000
= 3000
(d) 6, (7)(0)8, 452
= 70,000 + 0
= 70,000
(e) (5)5, (6)07, 321
= 5000000 + 600000
= 50,600,000
Number and Numeration Exercise 1.5 Solution
Question no – (1)
Solution :
(a) 1467518
Successor = 1467518 + 1 = 1467519
Predecessor = 1467518 – 1 = 1467517
(b) 900000
Successor = 900000 + 1 = 900001
Predecessor = 900000 – 1 = 899999
(c) 99999999
Successor = 99999999 + 1 = 100000000
Predecessor = 99999999 + 1 = 99999998
(d) 10000001
Successor = 10000001 + 1 = 10000002
Predecessor = 10000001 – 1 = 10000000
(e) 517501050
Successor = 517501050 + 1 = 517501051
Predecessor = 517501050 – 1 = 517501049
(f) 234706811
Successor = 234706811 + 1 = 234706812
Predecessor = 234706811 – 1 = 234706810
Question no – (2)
Solution :
(a) 6356322 > 6354432
(c) 9000478 < 9004088
(d) 300042889 = 304042889
(e) 15432234 > 11543223
Question no – (3)
Solution :
(a) Given number,
1236274, 2216675, 1826789, 2096123
∴ In ascending order,
123674 < 1826789 < 2096123 < 2216675
(b) Given number,
2136366, 2636360, 64367365, 6466319
∴ In ascending order,
= 2136366 < 263636 < 6466319 < 64367365
(c) Given number,
5683195, 8133565, 5153346, 8188366
∴ In ascending order,
= 5153346 < 5683195 < 8133565 < 8188366
(d) Given number,
123605033, 733560118, 377506088, 327605063
∴ In ascending order,
= 123605033 < 327605063 < 377506088 < 733560118
(4) Arrange in descending order,
Solution :
(a) Given number,
6678125, 6678625, 6678225, 6876425
∴ In descending order,
= 6876425 > 6678625 > 6678225 > 6678125
(b) Given number,
34723372, 34723273, 34723312, 34723736
∴ In descending order,
= 34723736 > 34723372 > 34723312 > 34723273
(c) Given numbers,
234207708, 244205780, 442202758, 466230870
∴ In descending order,
= 466230870 > 442202758 > 244205780 > 234207708
(d) Given numbers,
671206915, 671206935, 671205953, 611260953
∴ In descending order,
= 671206935 > 671206915 > 671205953 > 611260953
Question number – (5)
Solution :
Greatest 7 digit number = 87653432
Smallest 7 digit number = 1234567
Again, Greatest 8 digit number = 87654321
Smallest 8 digit number = 12345678
Question number – (6)
Solution :
In 7 digit numbers :
| Greatest numbers | Smallest numbers |
| (a) 9977331 | 1133779 |
| (b) 8855440 | 4004558 |
| (c) 7766221 | 1122667 |
| (d) 8866442 | 2244668 |
| (e) 99775550 | 5005779 |
In 8 digit numbers :
| Greatest numbers | Smallest numbers |
| (a) 99773311 | 11337799 |
| (b) 88554400 | 40045588 |
| (c) 77662211 | 11226677 |
| (d) 88664422 | 22446688 |
| (e) 99775500 | 50057799 |
Question number – (7)
Solution :
Smallest 9 digit numbers,
(a) 100000479
(b) 111125689
(c) 100023478
(d) 102345679
Greatest 9 digit numbers,
(a) 999997410
(b) 999986521
(c) 888743210
(d) 976543210
Question no – (8)
Solution :
(a) The greatest and smallest numbers of a 7-digit number such that 2 remains at thousands and lakhs place.
∴ Required Greatest number is,
= 9292999
∴ Required Smallest number is,
= 120,2000
(b) The greatest and smallest numbers of a 8 digit number such that 0 remains at hundreds, ten thousands and lakhs place.
∴ Required Greatest number,
= 99009099
∴ Required Smallest number,
= 10000000
(c) According to the question,
Greatest and Smallest numbers of a 9-digit number such that 1 remains at the 1st, 3rd and 6th place.
∴ Required Greatest number,
= 999199191
∴ Required Smallest number,
= 100100101
Question number – (9)
Solution :
Smallest 8 digit number = 10000000
Formed number = 88653210
Now,
88653210
100000000
————————-
78653210
Formed smallest number = 10023568
Now,
10023568
10000000
————————-
23568
Question number – (10)
Solution :
Greatest 8 digit number = 99999999
Greatest 7 digit number = 9999999
Now,
9999999
9999999
————————-
90000000
Smallest 7 digit no,
= 1000000
Now,
9999999
10000000
————————-
98999999
Number and Numeration Exercise 1.6 Solution
Question no – (1)
Solution :
(a) Given number, 264
∴ The nearest hundred of 264 is 300
(b) Given number, 450
∴ The nearest hundred of 450 is 500
(c) Given number, 585
∴ The nearest hundred of 585 is 600
(d) Given number, 942
∴ The nearest hundred of 942 is 900
(e) Given number, 1535
∴ The nearest hundred of 1535 is 1500
(f) Given number, 1750
∴ The nearest hundred of 1750 is 1800/1700
(g) Given number, 3412
∴ The nearest hundred of 3412 is 3400
(h) Given number, 4582
∴ The nearest hundred of 4582 is 4600
Question no – (2)
Solution :
(a) Given number, 1200
∴ The nearest thousand of 1200 is 1000
(b) Given number, 6503
∴ The nearest thousand of 6503 is 6000
(c) Given number, 4895
∴ The nearest thousand of 4895 is 5000
(d) Given number, 7499
∴ The nearest thousand of 7499 is 7000
(e) Given number, 11689
∴ The nearest thousand of 11689 is 12000
(f) Given number, 24164
∴ The nearest thousand of 24164 is 24000
(g) Given number, 38429
∴ The nearest thousand of 38429 is 38,000
(h) Given number, 38500
∴ The nearest thousand of 38500 is 39,000
(3) Round off following numbers to the nearest ten thousands
Solution :
(a) Given number, 14388
14388 = 10,000
∴ 14388 to the nearest ten thousand is = 10,000
(b) Given number, 45000
45000 = 50,000
∴ 45000 to the nearest ten thousand is = 50,000
(c) Given number, 55945
55945 = 60,000
∴ 55945 to the nearest ten thousand is = 60,000
(d) Given number, 73248
73248 = 70,000
∴ 73248 to the nearest ten thousand is = 70,000
(e) Given number, 224680
224680 = 22,0000
∴ 224680 to the nearest ten thousand is = 22,0000
(f) Given number, 650021
650021 = 6,50,000
∴ 650021 to the nearest ten thousand is = 6,50,000
(g) Given number, 771436
771436 = 7,70,000
∴ 771436 to the nearest ten thousand is = 7,70,000
(h) Given number, 927014
927014 = 9,30,000
∴ 927014 to the nearest ten thousand is = 9,30,000
Question number – (4)
Solution :
Here, Only 735 cannot be hundred off to 800.
So, correct option is (d) 735
Question number – (5)
Solution :
Here, only 5620 is rounded to 6000.
So, option (c) 5620 is the correct answer.
Question number – (6)
Solution :
Here, 84321 cannot be rounded off to ten thousands as 90,000.
So, correct option is – (a) 84321
Question no – (8)
Solution :
(a) Given, cost of bicycle is = ₹1872.
∴ ₹1872 to the nearest hundred is = ₹1900
(b) Given, number of people living in a colony is = 4743.
∴ 4743 to the nearest thousand is = 5000
(c) Given, cost of a motorcycle is = ₹28,485.
∴ ₹28,485 to the nearest thousand is = ₹28,000
(d) Given, number of cars in a city is 248960.
∴ 248960 to the nearest ten thousand is = 2,50,000
Next Chapter Solution :
