# Frank Learning Maths Class 5 Solutions Chapter 1

## 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 :

Updated: June 6, 2023 — 9:35 am