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Thursday, March 30, 2023

4 Digit Numbers | What are 4 Digit Numbers?

We have now realized one, two and three digits numbers.

Now, we are going to examine 4-digit numbers.

We add 1 to 999 to get the smallest 4 digit quantity. eg. 999 + 1 = 1000.

What are 4 Digit Numbers?

We could divide 4-digit numbers in 9 teams.

(i) 1000 to 1999 (one thousand to 1 thousand 9 hundred ninety 9)

(ii) 2000 to 2999 (two thousand to 2 thousand 9 hundred ninety 9)

(iii) 3000 to 3999 (three thousand to a few thousand 9 hundred ninety 9)

(iv) 4000 to 4999 (4 thousand to 4 thousand 9 hundred ninety 9)

(v) 5000 to 5999 (5 thousand to 5 thousand 9 hundred ninety 9)

(vi) 6000 to 6999 (six thousand to 6 thousand 9 hundred ninety 9)

(vii) 7000 to 7999 (seven thousand to seven thousand 9 hundred ninety 9)

(viii) 8000 to 8999 (eight thousand to eight thousand 9 hundred ninety 9)

(ix) 9000 to 9999 (9 thousand to 9 thousand 9 hundred ninety 9)

4 Digits Numbers in 1000’s:

If all of the numbers of 1 digit, then two digits after which
three digits are positioned step-by-step to the best of 1 Thousand in keeping with their
place values, the numbers from 1001 to 1999 are shaped.

1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009,
1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019,
1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029,
1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039,
1040, 1041, 1042, 1043, 10144, 1045, 1046, 1047, 1048, 1049,
1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059,
1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069,
1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079,
1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089,
1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099,
1110, 1111, …………………., 1199, 1200, …………………., 1299, 1300,
1301, …………………………., 1399, 1400,
…………………, 1499, 1500, 1501, …………………., 1899, 1900, 1901,
………………….., 1921, …………………., 1971, …………………., 1981, ………………………, 1991, ………………….,
1999.
Equally, 2000, …………….., 2199, ………………….., 2299, ……………………,
2799, ……………………, 2899, ………………….., 2999 are shaped.
Thus, we attain upto 3999, ……………….., 4999, …………………, 5999,
…………………, 6999, …………………, 7999, …………………, 8999, ………………….., 9999.

Proven under are some
4 digit numbers on the abacus:

 2354 Two thousand 300 fifty 4 5241 5 thousand 2 hundred forty one

Mike has 999 lollipops. He has made 9 packets of 100 lollipops
in every. He’s now left with 99 lollipops. What number of extra lollipops does Mike
must make one other packet of 100 lollipops?

99 + 1 = 100

By having 1 extra lollipop, Mike could make one other packet of
100 lollipops.

Mike has now 10 packets of 100 lollipops in every.

 10 a whole bunch = 1 thousand = 1000 Thus, Mike has 1000 lollipops in all. 1000 is a 4-digit quantity and is learn as ‘one thousand’. 1 packet = 100 lollipops 2 packets = 100 + 100 = 200 lollipops 3 packets = 200 + 100 = 300 lollipops 4 packets = 300 + 100 = 400 lollipops 5 packets = 400 + 100 = 500 lollipops 6 packets = 500 + 100 = 600 lollipops 7 packets = 600 + 100 = 700 lollipops 8 packets = 700 + 100 = 800 lollipops 9 packets = 800 + 100 = 900 lollipops

1000 is the smallest 4-digit quantity. 9999 is the biggest 4-digit quantity.

 Digit One-digit Two-digit Three-digit 4-digit Largest Quantity 9 99 999 9999 Smallest Quantity 0 10 100 1000

9 + 1 = 10

99 + 1 = 100

999 + 1 = 1000

Allow us to now study some 4-digit quantity names.

Notice: 1. The most important 4-digit quantity is 9999.

2. The smallest 4-digit quantity is 1000.

Forming 4-Digit Numbers:

4-Digit Numbers in Broaden Kind and Quick Kind:

 (i) 1 thousand + 4 a whole bunch + 6 tens + 4 ones (ii) 2 thousand + 6 a whole bunch + 3 tens + 1 one (iii) 5 thousand + 1 hundred + 3 tens + 2 ones (iv) 9 thousand + 9 a whole bunch + 9 tens + 9 ones (v) 4 1000’s + 5 a whole bunch + 0 tens + 3 ones (vi) 6 1000’s + 3 a whole bunch + 0 tens + 0 ones (vii) 7 1000’s + 2 a whole bunch + 2 tens + 5 ones (viii) 3 1000’s + 0 hundred + 1 ten + 6 ones (ix) 8 1000’s + 7 a whole bunch + 4 tens + 7 ones (x) 1 thousand + 8 a whole bunch + 5 tens + 8 ones (xi) 2 1000’s + 5 a whole bunch + 7 tens + 9 ones (xii) 1 thousand + 4 a whole bunch + 6 tens + 9 ones = 1000 + 400 + 60 + 4 = 2000 + 600 + 30 + 1 = 5000 + 100 + 30 + 2 = 9000 + 900 + 90 + 9 = 4000 + 500 + 0 + 3 = 6000 + 300 + 0 + 0 = 7000 + 200 + 20 + 5 = 3000 + 0 + 10 + 6 = 8000 + 700 + 40 + 7 = 1000 + 800 + 50 + 8 = 2000 + 500 + 70 + 9 = 1000 + 400 + 60 + 9 = 1460  = 2631  = 5132  = 9999  = 4503  = 6300  = 7225  = 3016  = 8747  = 1858  = 2579  = 1469

Types of Numbers:

I. Write within the quick types. One has been finished for you.

 (i) 2000 + 700 + 50 + 8   (ii) 3000 + 400 + 60 + 2 (iii) 1000 + 300 + 40 + 5 (iv) 4000 + 200 + 30 + 5 (v) 6000 + 200 + 70 + 9 (vi) 5000 + 800 + 60 + 7 (vii) 7000 + 100 + 60 + 5 (viii) 8000 + 900 + 80 + 4 (ix) 9000 + 500 + 30 + 6 (x) 3000 + 800 + 00 + 2 = 2758  = ___________  = ___________  = ___________  = ___________  = ___________  = ___________  = ___________  = ___________  = ___________

1. (ii) 3462

(iii) 1345

(iv) 4235

(v) 6279

(vi) 5867

(vii) 7165

(viii) 8984

(ix) 9536

(x) 3802

II. Write within the lengthy types. One has been finished for you.

 (i) 7684 (ii) 5053 (iii) 6734 (iv) 8635 (v) 9896 (vi) 3338 (vii) 4725 (viii) 2431 (ix) 1876 (x) 3707 (xi) 2980 (xii) 8579 = 7000 + 600 + 80 + 4  = __________________  = __________________  = __________________  = __________________  = __________________  = __________________  = __________________  = __________________  = __________________  = __________________  = __________________

2. (ii) 5000 + 0 + 50 + 3

(iii) 6000 + 700 + 30 + 4

(iv) 8000 + 600 + 30 + 5

(v) 9000 + 800 + 90 + 6

(vi) 3000 + 300 + 30 + 8

(vii) 4000 + 700 + 20 + 5

(viii) 2000 + 400 + 30 + 1

(ix) 1000 + 800 + 70 + 6

(x) 3000 + 700 + 0 + 7

(xi) 2000 + 900 + 80 + 0

(xii) 8000 + 500 + 70 + 9

Writing Numbers:

III. Write in numbers:

(i) 5 thousand eight hundred and fifty three

(ii) 9 thousand and 2 hundred

(iii) Two thousand eight hundred and 4

(iv) Six thousand 5 hundred and ten

(v) Three thousand seven hundred and ninety 5

(vi) One thousand 9 hundred and forty two

(vii) 4 thousand 600 and eighty six

(viii) Seven thousand 4 hundred and sixty six

(ix) Eight thousand 300 and seventy 9

(x) Three thousand 9 hundred and thirty 4

(xi) Two thousand 5 hundred and eighty seven

(xii) 4 thousand 2 hundred and thirty 5

(xiii) Seven thousand 9 hundred and eight

III. (i) 5853

(ii) 9200

(iii) 2804

(iv) 6510

(v) 3795

(vi) 1942

(vii) 4686

(viii) 7466

(ix) 8379

(x) 3934

(xi) 2587

(xii) 4235

(xiii) 7908

IV. Write the quantity names:

(i) 1530

(ii) 9217

(iii) 5645

(iv) 4872

(v) 3356

(vi) 2968

(vii) 1530

(viii) 6729

(ix) 8800

(x) 2874

(xi) 3507

(xii) 4235

(xiii) 6879

IV. (i) One thousand 5 hundred thirty

(ii) 9 thousand 2 hundred seventeen

(iii) 5 thousand 600 45

(iv) 4 thousand eight hundred seventy two

(v) Three thousand 300 fifty six

(vi) Two thousand 9 hundred sixty eight

(vii) One thousand 5 hundred thirty

(viii) Six thousand seven hundred twenty 9

(ix) Eight thousand eight hundred

(x) Two thousand eight hundred seventy 4

(xi) Three thousand 5 hundred seven

(xii) 4 thousand 2 hundred thirty 5

(xiii) Six thousand eight hundred seventy 9

Numbers Enjoyable:

(i) 1001, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

(ii) 1340, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

(iii) 2550, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

(iv) 3025, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

(v) 4386, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

(vi) 5991, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

(vii) 6033, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

(viii) 7732, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

V. (i) 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010

(ii) 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349

(iii) 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559

(iv) 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034

(v) 4387, 4388, 4389, 4390, 4391, 4392, 4393, 4394, 4395

(vi) 5992, 5993, 5994, 5995, 5996, 5997, 5998, 5999, 6000

(vii) 6034, 6035, 6036, 6037, 6038, 6039, 6040, 6041, 6042

(viii) 7733, 7734, 7735, 7736, 7737, 7738, 7739, 7740, 7741

VI. Write backwards consecutive numbers

(i) 1068, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

(ii) 6880, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

(iii) 9999, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

(iv) 5119, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

(v) 3425, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

(vi) 2500, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..

VI. (i) 1067, 1066, 1065, 1064, 1063, 1062, 1061, 1060, 1059

(ii) 6879, 68786877, 6876, 6875, 6874, 6873, 6872, 6871

(iii) 9998, 9997, 9996, 9995, 9994, 9993, 9992, 9991, 9990

(iv) 5118, 5117, 5116, 5115, 5114, 5113, 5112, 5111, 5110

(v) 3424, 3423, 3422, 3421, 3420, 3419, 3418, 3417, 3416

(vi) 2499, 2498, 2497, 2496, 2495, 2494, 2493, 2492, 2491

VII. Full the patterns:

(i) 8002, 8004, 8006, ………….., ………….., ………….., …………..,
………….., ………….., …………..

(ii) 9015, 9020, 9025, ………….., ………….., ………….., …………..,
………….., ………….., …………..

(iii) 7005, 7010, 7015, ………….., ………….., ………….., …………..,
………….., ………….., …………..

(iv) 6340, 6350, 6360, ………….., ………….., ………….., …………..,
………….., ………….., …………..

(v) 5000, 5006, 5012, ………….., ………….., ………….., …………..,
………….., ………….., …………..

(vi) 1100, 1200, 1300, ………….., ………….., ………….., …………..,
………….., ………….., …………..

VII. (i) 8004, 8006, 8008, 8010, 8012, 8014, 8016, 8018, 8020

(ii) 9020, 9025, 9030, 9035, 9040, 9045, 9050, 9055, 9060

(iii) 7010, 7015, 7020, 7025, 7030, 7035, 7040, 7045, 7050

(iv) 6350, 6360, 6370, 6380, 6390, 6400, 6410, 6420, 6430

(v) 5006, 5012, 5018, 5024, 5030, 5036, 5042, 5048, 5054

(vi) 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000

VIII. Write the successor numbers (the quantity after):

(i) 4530 …………..

(ii) 6625 …………..

(iii) 2836 …………..

(iv) 1014 …………..

(v) 8590 …………..

(vi) 5417 …………..

(vii) 6879 …………..

(viii) 5792 …………..

(ix) 7876 …………..

(x) 5327 …………..

(xi) 9891 …………..

(xii) 5109 …………..

(xiii) 1999 …………..

(xiv) 3579 …………..

(xv) 4284 …………..

(xvi) 2029 …………..

VIII. (i) 4531

(ii) 6626

(iii) 2837

(iv) 1015

(v) 8591

(vi) 5418

(vii) 6880

(viii) 5793

(ix) 7877

(x) 5328

(xi) 9892

(xii) 5110

(xiii) 1100

(xiv) 3580

(xv) 4285

(xvi) 2030

IX. Write the predecessors numbers (the quantity earlier than)

(i) ………….. 3560

(ii) ………….. 5871

(iii) ………….. 9090

(iv) ………….. 8099

(v) ………….. 7418

(vi) ………….. 3464

(vii) ………….. 8254

(viii) ………….. 2726

(ix) ………….. 5381

(x) ………….. 7002

(xi) ………….. 3004

(xii) ………….. 3507

(xiii) …………..  6231

(xiv) ………….. 4117

(xv) ………….. 1990

(xvi) ………….. 2001

IX. (i) 3559

(ii) 5870

(iii) 9089

(iv) 8098

(v) 7417

(vi) 3463

(vii) 8253

(viii) 2725

(ix) 5380

(x) 7001

(xi) 3003

(xii) 3506

(xiii) 6230

(xiv) 4116

(xv) 1989

(xvi) 2000

X. Write the numbers earlier than and after:

(i) ………….. 1995 …………..

(ii) ………….. 2010 …………..

(iii) ………….. 7328 …………..

(iv) ………….. 5609 …………..

(v) ………….. 8003 …………..

(vi) ………….. 9320 …………..

(vii) …………..  6037
…………..

(viii) ………….. 5469 …………..

(ix) ………….. 7452 …………..

(x) ………….. 4230 …………..

(xi) ………….. 3000 …………..

(xii) ………….. 7989 …………..

X. (i) 1994; 1996

(ii) 2009; 2011

(iii) 7327; 7329

(iv) 5608; 5610

(v)8002; 8004

(vi) 9319; 9321

(vii) 6036; 6038

(viii) 5468; 5470

(ix) 7451; 7453

(x) 4229; 4231

(xi) 2999; 3001

(xii) 7988; 7990

XI. Write the numbers between:

(i) 3057 ………….. 3059

(ii) 1574 ………….. 1576

(iii) 3898 ………….. 3900

(iv) 6407 ………….. 6409

(v) 3281 ………….. 3283

(vi) 5000 ………….. 5002

(vii) 8342 ………….. 8344

(viii) 2318 ………….. 2320

(ix) 9836 ………….. 9838

(x) 4201 ………….. 4203

(xi) 1810 ………….. 1812

(xii) 7999 ………….. 8001

XI.

(i) 3058

(ii) 1575

(iii) 3899

(iv) 6408

(v) 3282

(vi) 5001

(vii) 8343

(viii) 2319

(ix) 9837

(x) 4202

(xi) 1811

(xii) 8000

Place worth in 4-digits numbers:

A spot worth relies upon upon the place of a digit in a
given quantity.

A spot worth retains rising, when a quantity strikes from
proper to left.

1 one, place worth = 1  1 or 1

8 tens, place worth = 8  10 or 80

6 a whole bunch, place worth = 6 100 or 600

3 1000’s, place worth = 4   1000 or 4000

3746 = 3 1000’s + 7 a whole bunch + 4 tens + 6 ones

= 3000 + 700
+ 40 + 6

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