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We have learned one, two and three digits numbers.
Now, we will study four digit numbers.
Greatest 1-digit number + 1 = Smallest 2-digit number
i.e., 9 + 1 = 10
Greatest 2-digit number + 1 = Smallest 3-digit number
i.e., 99 +1 = 100
Greatest 3-digit number + 1 = Smallest 4-digit number
i.e., 999 + 1= 1000
We add 1 to 999 to get the smallest four digit number. eg. 999 + 1 = 1000.
1000 is read as one thousand.
In the place value chart, it is represented as
What are Four Digit Numbers?
A number is called a four digit number if it lies between the smallest 4-digit number i.e., 1000 and largest 4-digit number i.e., 9999.
Therefore, the all numbers from 1000 to 9999 are four digit numbers.
We may divide 4-digit numbers in 9 groups.
(i) 1000 to 1999 (one thousand to one thousand nine hundred ninety nine)
(ii) 2000 to 2999 (two thousand to two thousand nine hundred ninety nine)
(iii) 3000 to 3999 (three thousand to three thousand nine hundred ninety nine)
(iv) 4000 to 4999 (four thousand to four thousand nine hundred ninety nine)
(v) 5000 to 5999 (five thousand to five thousand nine hundred ninety nine)
(vi) 6000 to 6999 (six thousand to six thousand nine hundred ninety nine)
(vii) 7000 to 7999 (seven thousand to seven thousand nine hundred ninety nine)
(viii) 8000 to 8999 (eight thousand to eight thousand nine hundred ninety nine)
(ix) 9000 to 9999 (nine thousand to nine thousand nine hundred ninety nine)
Note: Four digit numbers begin with 1000.
Four Digits Numbers in Thousands:
If all the numbers of one digit, then two digits and then three digits are placed step by step to the right of 1 Thousand according to their place values, the numbers from 1001 to 1999 are formed.
On adding 1 to 1000, we get 1000 + 1 = 1001 ← One thousand one
On adding 1 to 1001, we get 1001 + 1 = 1002 ← One thousand two and so on
On adding 1 to 9998, we get 9998 + 1 = 9999 ← Nine thousand nine hundred ninety-nine
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, 1044, 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.
Similarly, 2000, …………….., 2199, ………………….., 2299, ……………………,
2799, ……………………, 2899, ………………….., 2999 are formed.
Thus, we reach upto 3999, ……………….., 4999, …………………, 5999,
…………………, 6999, …………………, 7999, …………………, 8999, ………………….., 9999.
9999 is the greatest 4-digit number.
In the place value chart, it is represented as
4-Digit Numbers on Abacus:
Shown below are some four digit numbers on the abacus:
 2354
|
 5241
|
Mike has 999 lollipops. He has made 9 packets of 100 lollipops
in each. He is now left with 99 lollipops. How many more lollipops does Mike
need to make another packet of 100 lollipops?
99 + 1 = 100
By having 1 more lollipop, Mike can make another packet of
100 lollipops.
Mike has now 10 packets of 100 lollipops in each.
 10 hundreds = 1 thousand = 1000 Thus, Mike has 1000 lollipops in all. 1000 is a 4-digit number and is read 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 number. 9999 is the largest 4-digit number.
|
Digit One-digit Two-digit Three-digit Four-digit |
Largest Number 9 99 999 9999 |
Smallest Number 0 10 100 1000 |
9 + 1 = 10
99 + 1 = 100
999 + 1 = 1000
Numbers Beyond 999:
We know that,
The greatest 3-digit number is 999.
If we add 1 to 999, we get 1000.
1000 is the smallest 4-digit number, we read it as one hundred.
Counting by Thousands:
The red digit tells us how many thousands.
|
1000 – _______ 2000 – _______ 3000 – _______ |
4000 – _______ 5000 – _______ 6000 – _______ |
7000 – _______ 8000 – _______ 9000 – _______ |
Let us now learn some 4-digit number names.
Note: 1. The largest 4-digit number is 9999.
2. The smallest 4-digit number is 1000.
Forming Four Digit Numbers:
4-Digit Numbers in Expanded Form and Short Form:
|
(i) 1 thousand + 4 hundreds + 6 tens + 4 ones (ii) 2 thousand + 6 hundreds + 3 tens + 1 one (iii) 5 thousand + 1 hundred + 3 tens + 2 ones (iv) 9 thousand + 9 hundreds + 9 tens + 9 ones (v) 4 thousands + 5 hundreds + 0 tens + 3 ones (vi) 6 thousands + 3 hundreds + 0 tens + 0 ones (vii) 7 thousands + 2 hundreds + 2 tens + 5 ones (viii) 3 thousands + 0 hundred + 1 ten + 6 ones (ix) 8 thousands + 7 hundreds + 4 tens + 7 ones (x) 1 thousand + 8 hundreds + 5 tens + 8 ones (xi) 2 thousands + 5 hundreds + 7 tens + 9 ones (xii) 1 thousand + 4 hundreds + 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 |
Four Digit Numbers on Abacus:
We can also form numbers using a spike abacus.
This abacus has four rods, one each for thousands, hundreds, tens and the ones place.
For Example:
Which number is formed by the beads on this abacus?
Solution:
|
This abacus shows the number |
 |
Worksheet on 4-Digit Numbers:
Forms of Four Digit Numbers:
I. Write in the short forms. One has been done 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 = ___________ = ___________ = ___________ = ___________ = ___________ = ___________ = ___________ = ___________ = ___________ |
Answer:
1. (ii) 3462
(iii) 1345
(iv) 4235
(v) 6279
(vi) 5867
(vii) 7165
(viii) 8984
(ix) 9536
(x) 3802
II. Write in the long forms. One has been done 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 = __________________ = __________________ = __________________ = __________________ = __________________ = __________________ = __________________ = __________________ = __________________ = __________________ = __________________ |
Answer:
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 Four Digit Numbers:
III. Write in numbers:
(i) Five thousand eight hundred and fifty three
(ii) Nine thousand and two hundred
(iii) Two thousand eight hundred and four
(iv) Six thousand five hundred and ten
(v) Three thousand seven hundred and ninety five
(vi) One thousand nine hundred and forty two
(vii) Four thousand six hundred and eighty six
(viii) Seven thousand four hundred and sixty six
(ix) Eight thousand three hundred and seventy nine
(x) Three thousand nine hundred and thirty four
(xi) Two thousand five hundred and eighty seven
(xii) Four thousand two hundred and thirty five
(xiii) Seven thousand nine hundred and eight
Answer:
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 number 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
Answer:
IV. (i) One thousand five hundred thirty
(ii) Nine thousand two hundred seventeen
(iii) Five thousand six hundred forty five
(iv) Four thousand eight hundred seventy two
(v) Three thousand three hundred fifty six
(vi) Two thousand nine hundred sixty eight
(vii) One thousand five hundred thirty
(viii) Six thousand seven hundred twenty nine
(ix) Eight thousand eight hundred
(x) Two thousand eight hundred seventy four
(xi) Three thousand five hundred seven
(xii) Four thousand two hundred thirty five
(xiii) Six thousand eight hundred seventy nine
Four Digit Numbers Fun:
V. Write forward consecutive numbers:
(i) 1001, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..
(ii) 1340, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..
(iii) 2550, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..
(iv) 3025, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..
(v) 4386, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..
(vi) 5991, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..
(vii) 6033, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..
(viii) 7732, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..
Answer:
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, ………….., ………….., ………….., ………….., ………….., …………..,
………….., ………….., …………..
Answer:
VI. (i) 1067, 1066, 1065, 1064, 1063, 1062, 1061, 1060, 1059
(ii) 6879, 6878, 6877, 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. Complete 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, ………….., ………….., ………….., …………..,
………….., ………….., …………..
Answer:
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 number after) of the following four digit numbers:
(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 …………..
Answer:
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 number before) of the following four digit numbers:
(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
Answer:
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 before 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 …………..
Answer:
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
Answer:
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 value in 4-digits numbers:
A place value depends upon the position of a digit in a
given number.
A place value keeps increasing, when a number moves from
right to left.
1 one, place value = 1 1 or 1
8 tens, place value = 8 10 or 80
6 hundreds, place value = 6 100 or 600
3 thousands, place value = 4 1000 or 4000
3746 = 3 thousands + 7 hundreds + 4 tens + 6 ones
= 3000 + 700
+ 40 + 6
XII. Which number is formed by the following blocks?
Solution:
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This can be written as |
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