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\ 08-Oct-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________
Answers
Chapter 1: Large Numbers 3. (a) 97479, 87976, 76049, 75959
(b) 654675, 528781, 453170, 452678
Let’s ReCALL (c) 9400045, 7983678, 7893569, 798667
1. Three lakh eighty-four thousand four hundred. (d) 98645321, 9865021, 9864542, 9864521
2. Greatest 6-digit number = 999999 and Smallest 6-digit number = 100000. 4. Smallest-305678, greatest-876530
3. (a) Seven lakh fifty-four thousand eight hundred ninety-four 5. Smallest-10456789, greatest-98765410
(b) Five lakh four hundred eighty-nine 6. (a) 7775420, 2000457 (b) 9999765, 5555679
4. (a) 8,47,001 (b) 9,99,999 (c) 7777320, 2000037 (d) 9999953, 3333359
5. (a) Face value = 2, Place value = 20000 Practice time 1D
(b) Face value = 0, Place value = 0
6. 540789 1. (a) 65,028,107 (b) 82,245,000 (c) 59,106,307 (d) 40,093,406
Practice time 1A 2. (e) 72,007,700 (f) 98,999,099
(a) Twenty-five million eight hundred ninety thousand four hundred
1. (a) Five lakh forty-five thousand eight hundred sixty-four sixty-seven
(b) Forty-six lakh thirty-four thousand five hundred sixty-one (b) Forty-three million eight hundred sixty-five thousand eight hundred
(c) Forty lakh fifty-six thousand two hundred forty-nine ninety
(d) Seven crore seventy-three lakh twenty-six thousand four hundred (c) Five million seventy thousand six
thirty-four (d) Fifty-two million eight hundred thousand five hundred thirty-one
(e) Eight crore seventy-nine lakh twenty-eight thousand forty-three (e) Six million one hundred thousand seven hundred eighty-two
(f) Seven crore thirty lakh thirty-eight thousand nine hundred sixty-three ( f ) Twenty million two hundred thousand two hundred
2. (a) 5,34,948 (b) 50,70,694 (c) 6,66,24,412 (d) 7,00,73,016 3. (a) 78,987,656 (b) 89,007,650 (c) 80,004,905 (d) 7,540,565
3. (a) 78,54,475 — Seventy-eight lakh fifty-four thousand four hundred (e) 95,493,207 (f) 34,896,705
seventy-five. 4. (a) 1000 (b) 100 (c) 10 (d) 100
(b) 7,98,76,560 — Seven crore ninety-eight lakh seventy-six thousand Practice time 1e
five hundred sixty.
(c) 8,00,78,004 — Eight crore seventy-eight thousand four. 1. (a) 80 (b) 250 (c) 870 (d) 4240
(d) 5,76,54,323 — Five crore seventy-six lakh fifty-four thousand three (e) 6050 (f) 8870 (g) 68740 (h) 508380
hundred twenty-three. 2. (a) 400 (b) 600 (c) 7700 (d) 8900
(e) 6,00,52,902 — Six crore fifty-two thousand nine hundred two. 3. (e) 17200 (f) 28800 (g) 120100 (h) 318600
(f) 5,99,34,230 — Five crore ninety-nine lakh thirty-four thousand two (a) 9000 (b) 9000 (c) 108000 (d) 37000
hundred thirty. (e) 219000 (f) 59000 (g) 1036000 (h) 2867000
4. 1 ones = 1, 4 tens = 40, 9 hundreds = 900, 7 thousands = 7000, 8 ten 4. (a) (i) 52670 (ii) 52700 (iii) 53000
thousands = 80000, 7 lakhs = 700000, 6 ten lakhs = 6000000, 1 crores = (b) (i) 37650 (ii) 37600 (iii) 38000
10000000 (c) (i) 25890 (ii) 25900 (iii) 26000
Practice time 1B (d) (i) 41980 (ii) 42000 (iii) 42000
(ii) 547100
(iii) 547000
(e) (i) 547130
1. (a) 70 (b) 6000 (c) 400000 (d) 0 (e) 70000000 (f) (i) 258360 (ii) 258400 (iii) 258000
(f) 800000 (g) 0 (h) 5000000 (i) 70000 (g) (i) 362780 (ii) 362800 (iii) 363000
2. 8000000 – 800 = 7999200 (h) (i) 1670250 (ii) 1670200 (iii) 1670000
3. 6000 + 600000 = 606000 Practice time 1F
4. (a) Predecessor — 2684502, Successor — 2684504
(b) Predecessor — 7095204, Successor — 7095206 1. (a) CCCXXVIII (b) DXVIII (c) DCCCXCII (d) MMXC
(c) Predecessor — 5598004, Successor — 5598006 (e) DCCLXXXV (f) MDC
(d) Predecessor — 4030199, Successor — 4030201 2. (a) 35 (b) 73 (c) 7 (d) 1009 (e) 165 (f) 1034
(e) Predecessor — 67600541, Successor — 67600543 3. (a) < (b) > (c) = (d) > (e) = (f) <
(f) Predecessor — 90908031, Successor — 90908033 4. (b), (c), (d), (e) and (f)
(g) Predecessor — 30540319, Successor — 30540321 5. (a) MDCCCLXIX (b) MDCCCLXXXIII (c) MCMXX
(h) Predecessor — 88732100, Successor — 88732102 (d) MCMXXX (e) MCMXLII (f) MCMXLIV
5. (a) 70000000 + 7000000 + 800000 + 50000 + 6000 + 400 + 30 + 2 (g) MCMXLVIII
(b) 90000000 + 5000000 + 600000 + 70000 + 8000 + 900 + 80 + 1 Mental Maths (Page 25)
(c) 7000000 + 300000 + 40000 + 700 + 10 + 8 1. (a) 2. (b) 3. (d) 4. (a) 5. (a)
(d) 80000000 + 6000000 + 900000 + 80000 + 7000 + 600 + 50 + 5 Maths Connect (Page 25)
(e) 30000000 + 7000000 + 800000 + 90000 + 8000 + 700 + 60 + 2 Ascending order: Hyderabad < Bengaluru < Delhi < Mumbai
(f) 8000000 + 400000 + 90000 + 9000 + 300 + 80 + 5 Descending order: Mumbai > Delhi > Bengaluru > Hyderabad
(g) 70000000 + 6000000 + 200000 + 50000 + 9000 + 5
(h) 40000000 + 5000000 + 600000 + 200 + 80 + 2 Chapter Assessment
(i) 9000000 + 900000 + 80000 + 3000 + 400 + 50 + 1 1. (a) (ii) (b) (iii) (c) (iv) (d) (iii)
6. (a) 80046053 (b) 70074502 (c) 9059304 (d) 5908073 2. 9985313 3. 0 4. 100 thousands
(e) 40405002 5. 10000 thousands 6. Nearest 1000 7. Earth by 3010000 m
Practice time 1C 8. Do it yourself
1. (a) > (b) > (c) < (d) > (e) = (f) < 9. First phase— 2,40,000 saplings, Second phase— 1,90,000 saplings
2. (a) 863532, 7324545, 7825216, 8654627 10. Local trains
(b) 2000413, 2050009, 2500496, 5231761 Challenge Question (Page 27)
(c) 6954521, 6954524, 6954530, 6954544 3782; three thousand seven hundred eighty-two; three thousand seven
(d) 75463211, 75463251, 75464521, 75465421 hundred eighty-two.
Mathematics-5 247

