SChand New Learning Composite Mathematics Class 6 Chapter 1 Knowing Our Numbers Exercise 1M

 Exercise 1M

Question 1

Solution: 6 + (2x 5)

= 6 + 10

= 16

Question 2

Solution: (6 + 4) x 5

= 10 x 5

= 50

Question 3

Solution: 3 + (6 + 8)

= 3 + 14

= 17

Question 4

Solution: (10 – 3) + 13

= 7 + 13

= 20

Question 5

Solution: 18 – (3 + 7)

= 18 – 10

= 8

Question 6

Solution : (8 x 15) – 20

= 120 – 20

= 100

Question 7

Solution : 27 – (6 x 4)

= 27 – 24

= 3

Question 8

Solution: $30 –\left(\frac{112 }{14}\right)$

= 30 – 8

= 22

Question 9

Solution: $\frac{(35 – 15)}{ 4}$

$= \frac{20 }{ 4}$

= 5

Question 10

Solution: $\frac{80}{5\times 4}$

$=\frac{80 }{ 20}$

= 4

SChand New Learning Composite Mathematics Class 6 Chapter 1 Knowing Our Numbers Exercise 1L

 Exercise 1L

Question 1

(a) XIV

(b) XXI

(c) XXXIX

(d) XLV

(e) LXV

(f) LXXXVI

(g) XCVI

(h) CXXVIII

(i) CCCLII

(j) DCXXXV

Question 2

(a) 46

(b) 59

(c) 34

(d) 59

(e) 66

(f) 345

(g) 173

(h) 230

(i) 709

(j) 421

SChand New Learning Composite Mathematics Class 6 Chapter 1 Knowing Our Numbers Exercise 1k

Exercise 1k

Question 1

(a) Four million eight hundred sixty three thousand.

(b) Fifty-six million three hundred seventeen thousand nine hundred.

(c) Eight million four hundred six thousand eight.

(d) Seventy-five million two hundred nineteen thousand thirty-eight.

(e) Ninety-two million five hundred ninety-four thousand one hundred sixty-eight.

(f) Fifty million three.

Question 2

(a) 5,390,721

(b) 69,345,071

(c) 80,374,629

(d) 2,003,798

(e) 792,035

(f) 87,200,965

Question 3

(a) 357219

(b) 4170055

(c) 67900491

(d) 9109705

(e) 700000

(f) 58000000

(g) 6500007

Sol :

TM	M	HTh	TTh	Th	H	T	O
		3	5	7	2	1	9
	4	1	7	0	0	5	5
6	7	9	0	0	4	9	1
	9	1	0	9	7	0	5
		7	0	0	0	0	0
5	8	0	0	0	0	0	0
	6	5	0	0	0	0	7

Question 4

(a) 578,392

(b) 7,445,386

(c) 83,752,916

Question 5

(a) 7 x 100,000 + 3 x 10,000 + 5 x 1,000 + 4 x 100 + 4 x 10 + 8

(b) 2 x 1,000,000 + 6 x 100,000 + 3 x 10,000 + 4 x 1,000 + 7 x 1000 + 8 x 10 + 9

(c) 9 x 1,000,000 + 5 x 10,000 + 2 x 100 + 5 x 10 + 4

SChand New Learning Composite Mathematics Class 6 Chapter 1 Knowing Our Numbers Exercise 1J

 Exercise 1J

Question 1

He rode in 3 years = (25,750 + 20,675 + 23,928) km

= 70, 353 km.

Question 2

Priyanka’s final balance = Rs, (10,000 + 8425 + 19766 + 15238)

= Rs. 53,429.

Question 3

Amount of fixed deposit = {18,60,750 – (3,25,000 + 2,70,00)

= {18,60,750 – 595000}

= Rs. 12,65,750

Question 4

Female population of West Bengal = 9,12,76,115 – 4,68,09,027

= 4,44,67,088

4,44,67,088 in word form = four crore forty four lakh sixty seven thousand eighty eight.

Expanded form –

4,00,00,000 + 40,00,000 + 4,00,000 + 60,000 + 7,000 + 80 + 8

Rounded off to ten thousand place – 4,44,70,000

Question 5

Total money = Rs. (8,75,000 x 20)

= Rs. 1,75,00,000

Question 6

He receive total money from this scale = Rs. (55,66.800 x 16)

= Rs. (55,66,800 x 16)

= Rs. 8,90,68,800

Question 7

Each person receive = Rs. 9,15,750/185

= Rs. 4950

Question 8

Each shareholder receive = Rs. 9,00,00,000/500

= Rs. 1,80,000

Question 9

Soup fills in 28 bowl = (400 x 28) ml

= 11,200 ml

= 11 L 200 ml

∴ Soup left in pot = 15 L – 11 L 200 Ml

= 3 L 200 Ml

Question 10

Perimeter of the rectangular picture

= 2 (1 m 70 cm + 90 cm)

= 2 (170 cm + 90 cm)

= (2 x 260) cm

= 520 cm

= 5 m 20 cm

Ans. Anushka does not have enough wood to frame the picture.

Question 11

56 kg = 56000 gm

No. Of students = 56000/35

= 1600

Question 12

Total weight of tablets = (250700 x 15) kg

= 3,76,0500 kg

= 37605 kg.

Question 13

Australia has a coast line of 25,760 km

Canada has a coastline of 2,02,080 km

∴ Canada has longer coastline.

∴ Difference between them  = (2,02,080 – 25,760) km

= 1,76,320 km

Question 14

Total weight of biscuits = (80 x 125) g

= 10000 g

= 10 kg

No of boxes can be loaded = 800/10

= 80

Question 15

West Bengal, Tamil Nadu, Rajasthan, Karnataka

SChand New Learning Composite Mathematics Class 6 Chapter 1 Knowing Our Numbers Exercise 1I

Exercise 1I

Question 1

(a) 827314 > 98026

(b) 714586 < 714895

(c) 259630 = 259630

(d) 8120719 > 812719

(e) 3507648 < 3907648

(f) 2944807 < 2944827

(g) 14653740 < 15655230

(h) 98065817 > 98056936

Question 2

(a) 159860 < 3257964 < 3258403 < 4900718

(b) 9755602 < 63709625 < 69900001 < 92009817

Question 3

(a) 31847409 > 12759201 > 1730619 > 730897

(b) 10000704 > 9927106 > 642079 > 64207

(4) Rank of these countries in the order, from the least populated to the most densely populated –

Australia, South Africa, France, Germany, Egypt

SChand New Learning Composite Mathematics Class 6 Chapter 1 Knowing Our Numbers Exercise 1H

Exercise 1H

Question 1

(a) Place value of 8 = 8 x 1000

= 8000

(b) Place value of 8 = 8 x 10000

= 80000

(c) Place value of 8  = 8 x 100000

= 800000

(d) Place value of 8 = 8 x 1000000

= 8000000

(e) Place value of 8 = 8 x 10000000

= 80000000

(f) Place value of 8 = 8 x 100

= 800

Question 2

Question 3

	C	TL	L	TTH	TH	H	T	O
(a)			7	2	5	9	6	4
(b)		2	6	4	9	8	3	7
(c)	5	0	9	6	0	7	1	4

(a) Seven lakh twenty five thousand nine hundred sixty four.

700000 + 20000 + 5000 + 900 + 60 + 4

(b) Twenty six lakh forty nine thousand eight hundred thirty seven.

2000000 + 600000 + 40000 + 9000 + 800 + 30 + 7

(c) Five crore nine lakh sixty thousand seven hundred fourteen

50000000 + 900000 + 60000 + 700 + 10 + 4

Question 4

3729718

Difference of the place value of two seven

=700000-700=699300

Question 5

50080764

Product of the face value and the place value of 

8=8×80000

=640000

SChand New Learning Composite Mathematics Class 6 Chapter 1 Knowing Our Numbers Exercise 1G

Exercise 1G

Question 1

(a) 5,36,218 – Five lakh thirty six thousand two hundred eighteen.

(b) 2,90,314 – Two lakh ninety thousand three hundred fourteen.

(c) 27,38,546 – Twenty seven lakh thirty-eight thousand five hundred forty six.

(d) 82,19,360 – Eighty-two lakh nineteen thousand three sixty.

(e) 60,50,007 – Sixty lakh fifty thousand seven.

(f) 78,02,100 – Seventy eight lakh two thousand one hundred.

(g) 50,08,019 – Fifty lakh eight thousand nineteen.

(h) 90,00,005 – Ninety lakh five.

(i) 3,52,86,174 – Three crore fifty two lakh eighty six thousand one hundred seventy four.

(j) 9,16,54,278 – Nine crore sixteen lakh fifty four thousand two hundred seventy eight.

(k) 8,05,12,009 – Eight crore five lakh twelve thousand nine.

(l) 5,00,37,504 – Five crore thirty seven thousand five hundred four.

(m) 6,07,02, 040 – Six crore seven lakh two thousand forty.

(n) 1,00,00,009 – One crore nine.

(o) 7,02,09,030 – Seven crore two lakh nine thousand thirty.

(p) 1,00,01,001 – One crore one thousand one.

Question 2

(a) 4,75,215

(b) 7,02, 100

(c) 12,50, 804

(d) 20,00,700

(e) 2,74,45,345

(f) 7,31,05,809

(g) 5,00,60,000

(h) 3,00,07,018

SChand New Learning Composite Mathematics Class 6 Chapter 1 Knowing Our Numbers Exercise 1F

Exercise 1F

Question 1

(a) 68 nearest ten is 70

53 nearest ten is 50

∴ Estimate sum = 70 + 50

= 120

(b) 466 hundred is 500

325 hundred ten is 300

∴ Estimate sum = 500 + 300

= 800

(c) 8379 nearest hundred is 8400

264 nearest hundred is 300

Estimate sum = 8400 + 300

= 8700

(d) 1693 nearest thousand is 2000

4509 nearest thousand is 5000

Estimate sum = 2000 + 5000

= 7000

(e) 27,619 nearest ten thousand is 30,000

53, 987 nearest ten thousand is 50,000

∴ Estimate sum = 30,000 + 50,000

= 80,000.

Question 2

(a) 898 nearest hundred is 900

345 nearest hundred is 300

Estimate difference = 900 – 300

= 600

(b) 839 nearest ten is 840

48 nearest ten is 50

∴ Estimate difference = 840 – 50

= 790

(c) 362 nearest hundred is 400

279 nearest hundred is 300

Estimate difference = 400 – 300

= 100

(d) 5718 nearest thousand is 6000

2014 nearest thousand is 2000

∴ Estimate difference = 6000 – 2000

= 4000.

(e) 73,284 nearest thousand is 70,000

39,541 nearest ten thousand is 40,000

∴ Estimate difference = 70000 – 40000

= 30000

Question 3

(a) 68 nearest ten is 70

7 is not rounded off

∴ Estimated product = 70 x 7

= 490

(b) 523 nearest ten is 500

16 nearest ten is 20

∴ Estimate product = 500 x 20

10000

(c) 517 nearest ten is 500

68 nearest ten is 70

∴ Estimate product = 500 x 70

= 35,000

(d) 74 nearest ten is 70

87 nearest ten is 90

∴ Estimate product = 70 x 90

= 6300

(e) 408 nearest hundred is 400

189 nearest hundred is 200

∴ Estimate product = 400 x 200

= 80,000

Question 4

(a) 123 ÷ 8 => 120 ÷ 8 = 15

∴ Estimate quotient = 15

(b) 157 ÷ 19 => 160 ÷ 20 = 8

∴ Estimate quotient = 8

(c) 958 ÷ 49 => 1000 ÷ 50 = 20

∴ Estimate quotient = 20

(d) 7982 ÷ 1728 => 8000 ÷ 2000 = 4

∴ Estimate quotient = 4

(e) 17,869 ÷ 8,759 => 18,000 ÷ 9000 = 2

∴ Estimate quotient = 2

Question 5

(a) 7680 nearest thousand is 8000

4293 nearest thousand is 4000

∴ Estimate sum = 8000 + 4000

= 12000

(b) 58,734 nearest ten thousand is 60,000

14,695 nearest ten thousand is 10,000

∴ Estimate difference = 60,000 – 10,000

= 40,000

SChand New Learning Composite Mathematics Class 6 Chapter 1 Knowing Our Numbers Exercise 1E

Exercise 1E

Question 1

(a) 57 nearest ten is 60

(b) 84 nearest ten is 80

(c) 935 nearest ten is 940

(d) 869 nearest ten is 870

(e) 4539 nearest ten is 4540

(f) 8894 nearest ten is 8890

(g) 6397 nearest ten is 6400

(h) 82,035 nearest ten is 82040.

(i) 71298 nearest ten is 71300

(j) 20193 nearest ten is 20190.

Question 2

(a) 624 nearest hundred 600

(b) 136 nearest hundred 100

(c) 2095 nearest hundred 2100

(d) 4053 nearest hundred 4100

(e) 5974 nearest hundred 6000

(f) 20809 nearest hundred 20800

(g) 18994  nearest hundred 19000

(h) 79992 nearest hundred 80000

(i) 69927 nearest hundred 69900

(j) 12950 nearest hundred 13000

Question 3

(a) 3725  nearest hundred 4000

(b) 6498 nearest hundred 6000

(c) 9516 nearest hundred 10000

(d) 5946 nearest hundred 6000

(e) 21586 nearest hundred 22000

(f) 69927 nearest hundred 70000

(g) 80279 nearest hundred 80000

(h) 25806 nearest hundred 26000

(i) 79634 nearest hundred 80000

(j) 40389 nearest hundred 40000

SChand New Learning Composite Mathematics Class 6 Chapter 1 Knowing Our Numbers Exercise 1D

Exercise 1C

Question 1

(a) 246, 264, 426, 462, 624, 642

(b) 379, 397, 739, 793, 937, 973

(c) 108, 180, 801, 810

(d) 609, 690, 906, 960

Question 2

(a) Smallest No. –  3457 Greatest No. – 7543

(b) Smallest No. –  3489 Greatest No. – 9843

(c) Smallest No. –  6079 Greatest No. – 9760

(d) Smallest No. –  4008 Greatest No. – 8400

(e) Smallest No. –  12679 Greatest No. – 97621

(f) Smallest No. –  30568 Greatest No. – 86530

(g) Smallest No. –  20089 Greatest No. – 98200

(h) Smallest No. –  20335 Greatest No. – 53320

Question 3

(a) Smallest No. –  3358 Greatest No. – 8853

(b) Smallest No. –  1147 Greatest No. – 7741

(c) Smallest No. –  6009 Greatest No. – 9960

(d) Smallest No. –  2003 Greatest No. – 3320

Question 4

(a) Smallest No. –  11357 Greatest No. – 77531

(b) Smallest No. –  22689 Greatest No. – 99862

(c) Smallest No. –  10056 Greatest No. – 66510

(d) Smallest No. –  40078 Greatest No. – 88740

Question 5

Smallest No. –  33359 Greatest No. – 99953

Question 6

(a) 8769, 1029

(b) 9857, 1052

(c) 9687, 1602

(d) 8976, 8012

SChand New Learning Composite Mathematics Class 6 Chapter 1 Knowing Our Numbers Exercise 1C

Exercise 1C

Question 1

(a) 85106  63729  46987  26863  26853  D

(b) 71121  49981  49891  49890  49198  D

(c) 54980  80459  85490  90854  95408  A

(d) 30702  32007  32700  37000  37200  A

Question 2

84598

Question 3

95813

Question 4

(a) 25097, 27950, 52709, 72590, 90725, 98061

(b) 15005, 15015, 15051, 15150, 15505, 15550

Question 5

(a) 83765, 83567, 65722, 48375, 25795, 19284

(b) 24659, 24650, 24645, 24596, 24569

Question 6

Assam, Meghalaya, Manipur, Mizoram, Nagaland, Tripura.