1

In the name of Allah, the Most Gracious, the Most Merciful

Afroz Maths Course

Book - 1.2

Numbers-2

Author :
Afroz Ahmad

For JAAIMS
Jamiah Ashraf Academy of
Islam & Modern Science

Website : jaaims.in
Email : admin@afroz.in

Whatsapp Phone No : 9160502153

 Numbers 100 to 1000 2

(One hundred)
Ten tens = 100

100
(One hundred)

100

100
100

Hun- Tens Ones Hun- Tens Ones Hun- Tens Ones

dreds place place dreds place place dreds place place
place place place

101 102 109

One hundred one One hundred two One hundred nine
100

100

Hun- Tens Ones Ones

Hun- Tens place
dreds place place place
dreds
place
place
110 199
One hundred ten One hundred ninety nine
 3

100
100
100
100

Tens Ones Hundreds Tens Ones

Hundreds
place place place place place
place

200 201
Two hundred Two hundred one
100
100

100
100

Hundreds Tens Ones Hundreds Tens Ones

place place place place place place

202 Two hundred two 210 Two hundred ten

100
100

Hundreds Ones
Tens place
place place
299
Two hundred ninety nine
 4

100
100
100

100
100
100
Tens Ones Hundreds Tens Ones
Hundreds
place place place place place
place

300 301
Three hundred Three hundred one

100
100
100
100
100
100

Hundreds Tens Ones Hundreds Tens Ones

place place place place place place

302 Three hundred two 310 Three hundred ten

100
100
100

Hundreds Tens place Ones

place place

399
Three hundred ninety nine
 5

100
100
100
100
100
100
100
100 Hundreds Tens Ones
Hundreds Tens Ones
place place place place place
place

400 401
Four hundred Four hundred one
100
100
100
100

100
100
100

Tens Ones
100 Tens Ones
Hundreds Hundreds
place place place place place place

402 Four hundred two 410 Four hundred ten

100
100
100
100

Hundreds Tens place Ones

place place

499
Four hundred ninety nine
 6

100
100
100
100
100
100
100
100
100
Hundreds 100 Tens Ones
Hundreds Tens Ones
place place place place place
place

500 501
Five hundred Five hundred one
100
100
100
100
100

100
100
100
100
Hundreds Tens Ones Hundreds 100 Tens Ones
place place place place place place

502 Five hundred two 510 Five hundred ten

100
100
100
100
100

Hundreds Tens place Ones

place place

599
Five hundred ninety nine
 7

100

100

100

100

100

100
100

100

100

100

100

100

Tens Ones Tens Ones

Hundreds place Hundreds
place place place place
place

600 601
Six hundred Six hundred one
100

100

100

100

100

100

100

100

100

100

100

100
Hundreds Tens Ones Hundreds Tens Ones
place place place place place place

602 Six hundred two 610 Six hundred ten

100

100

100

100

100

100

Hundreds Tens place Ones

place place

699
Six hundred ninety nine
 8

100
100
100

100

100

100
100

100
100
100

100

100

100
100
Tens Ones Tens Ones
Hundreds place Hundreds
place place place place
place

700 701
Seven hundred Seven hundred one
100
100
100

100

100

100
100

100
100
100

100

100

100
Hundreds Tens Ones Hundreds 100 Tens Ones
place place place place place place

702 Seven hundred two 710 Seven hundred ten

100
100
100

100

100

100
100

Hundreds Tens place Ones

place place

799
Seven hundred ninety nine
 9

100
100
100

100

100

100
100
100

100
100
100

100

100

100
100
100
Tens Ones
Hundreds place Hundreds Tens Ones
place place
place place place

800 801
Eight hundred Eight hundred one
100
100
100

100

100

100
100
100

100
100
100

100

100

100
100
100
Hundreds Tens Ones Hundreds Tens Ones
place place place place place place

802 Eight hundred two 810 Eight hundred ten

100
100
100

100

100

100
100
100

Hundreds Tens place Ones

place place

899
Eight hundred ninety nine
 10

100
100
100

100

100

100
100
100
100

100
100
100

100

100

100
100
100
100
Tens Ones
Hundreds place Hundreds Tens Ones
place place
place place place

900 901
Nine hundred Nine hundred one
100
100
100

100

100

100
100
100
100

100
100
100

100

100

100
100
100
100
Hundreds Tens Ones
Hundreds Tens Ones
place place place place place place

902 Nine hundred two 910 Nine hundred ten

100
100
100

100

100

100
100
100
100

Hundreds Ones
Tens place
place 999 place
Nine hundred ninety nine

999 + 1 = 1000
 11

(One hundred)
Ten tens = 100

100
(One hundred)
100
100

100
100
100

100
100
100
100

100
100
100
100
100
Two Three Four
hundreds = hundreds = hundreds = Five hundreds =

200 300 400 500

100
100
100
100
100
100

100
100
100
100
100
100

Six hundreds =
100
Seven hundreds =
600 700
100
100
100
100
100
100
100
100

100
100
100
100
100
100
100
100
100

Eight hundreds = Nine hundreds =

800 900
 12

100
100
100
100
100
100
100
100
100
100
Ten hundreds = 1000 ( One Thousand )
one 100

one 10
Hundreds Tens Ones Tens Ones
place place place place place

100 10
One hundred Ten
one 1000

Thousands Hundreds Tens Ones

place place place place

1000
One thousand


 13
Place Value

100
100
100
343

10
10
10
10
Three hundred
forty three

Hundreds Tens Ones

place place place

3 hundreds 4 tens 3 ones

3 4 3 343

3 is in hundreds place, 4 is in tens place and 3 is in ones place

3 hundreds = 300 4 tens = 40 and 3 ones = 3

300 + 40 + 3 = 343 ( Three hundred forty three )

Expanded form

343 = 3 hundreds + 4 tens + 3 ones = 300 + 40 +3

343 = ( 3 100) + ( 4 10 ) + ( 3 1 ) = 300 + 40 +3

Shortened form

300 + 40 + 3 = 343 Shortened form

3 hundreds + 4 tens + 3 ones = 343 Shortened form


 14

100
100
100
100
405
Four hundred five

Hundreds Tens Ones

place place place

4 hundreds 0 tens 5 ones

4 0 5 405

4 is in hundreds place, 0 is in tens place and 5 is in ones place

4 hundreds = 400 0 tens = 0 and 5 ones = 5

400 + 0 + 5 = 405 ( Four hundred five )

Expanded form

405 = 4 hundreds + 0 tens + 5 ones = 400 + 0 + 5

405 = ( 4 100) + ( 0 10 ) + ( 5 1 ) = 400 + 0 + 5

Shortened form

400 + 0 + 5 = 405 Shortened form

4 hundreds + 0 tens + 5 ones = 405 Shortened form


 15
Place value chart of Hindu-Arabic system of numeration

Thousands period Ones period

Ones = O
Th H T O Tens = T

Thousands place
Hundreds = H

Hundreds place
Thousands = T

Ones place
Tens place
Place 1
1,000 100 10
value

Ones period
Hundreds place

Ones place
Tens place

Place value 100 10 1

Three hundred forty five 3 4 5

345
 Showing Place Value through abacus 16

Hundreds = H Tens = T Ones = O (or) Units =U

H T O

345
Three hundred
forty five

3 4 5

3 hundreds 4 tens 5 ones

3 4 5 345
3 is in hundreds place, 4 is in tens place and 5 is in ones place

3 hundreds = 300 4 tens = 40 and 5 ones = 5

300 + 40 + 5 = 345 ( Three hundred forty five )

H T O

530
Five hundred thirty

5 3 0
5 hundreds 3 tens 0 ones
5 3 0 530
5 is in hundreds place, 3 is in tens place and 0 is in ones place

5 hundreds = 500 3 tens = 30 and 0 ones = 0

500 + 30 + 0 = 530 ( Five hundred thirty )
 17
Points

1. Counting from right to left, the first place is called the 'Ones place'

2. Counting from right to left, the second place is called the 'Tens place'.

3. Counting from right to left, the third place in a numeral is called the 'Hundreds place'.

4. Counting from right to left, the fourth place in a numeral is called the 'Thousands place'.

Numbers from 0 to 99
0 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27 28 29
30 31 32 33 34 35 36 37 38 39
40 41 42 43 44 45 46 47 48 49
50 51 52 53 54 55 56 57 58 59
60 61 62 63 64 65 66 67 68 69
70 71 72 73 74 75 76 77 78 79
80 81 82 83 84 85 86 87 88 89
90 91 92 93 94 95 96 97 98 99
 18
Numbers from 100 to 199
100 101 102 103 104 105 106 107 108 109
110 111 112 113 114 115 116 117 118 119
120 121 122 123 124 125 126 127 128 129
130 131 132 133 134 135 136 137 138 139
140 141 142 143 144 145 146 147 148 149
150 151 152 153 154 155 156 157 158 159
160 161 162 163 164 165 166 167 168 169
170 171 172 173 174 175 176 177 178 179
180 181 182 183 184 185 186 187 188 189
190 191 192 193 194 195 196 197 198 199

Numbers from 200 to 299

200 201 202 203 204 205 206 207 208 209
210 211 212 213 214 215 216 217 218 219
220 221 222 223 224 225 226 227 228 229
230 231 232 233 234 235 236 237 238 239
240 241 242 243 244 245 246 247 248 249
250 251 252 253 254 255 256 257 258 259
260 261 262 263 264 265 266 267 268 269
270 271 272 273 274 275 276 277 278 279
280 281 282 283 284 285 286 287 288 289
290 291 292 293 294 295 296 297 298 299
 19
Numbers from 300 to 399

300 301 302 303 304 305 306 307 308 309
310 311 312 313 314 315 316 317 318 319
320 321 322 323 324 325 326 327 328 329
330 331 332 333 334 335 336 337 338 339
340 341 342 343 344 345 346 347 348 349
350 351 352 353 354 355 356 357 358 359
360 361 362 363 364 365 366 367 368 369
370 371 372 373 374 375 376 377 378 379
380 381 382 383 384 385 386 387 388 389
390 391 392 393 394 395 396 397 398 399

Numbers from 400 to 499

400 401 402 403 404 405 406 407 408 409
410 411 412 413 414 415 416 417 418 419
420 421 422 423 424 425 426 427 428 429
430 431 432 433 434 435 436 437 438 439
440 441 442 443 444 445 446 447 448 449
450 451 452 453 454 455 456 457 458 459
460 461 462 463 464 465 466 467 468 469
470 471 472 473 474 475 476 477 478 479
480 481 482 483 484 485 486 487 488 489
490 491 492 493 494 495 496 497 498 499
 Numbers from 500 to 599 20

500 501 502 503 504 505 506 507 508 509
510 511 512 513 514 515 516 517 518 519
520 521 522 523 524 525 526 527 528 529
530 531 532 533 534 535 536 537 538 539
540 541 542 543 544 545 546 547 548 549
550 551 552 553 554 555 556 557 558 559
560 561 562 563 564 565 566 567 568 569
570 571 572 573 574 575 576 577 578 579
580 581 582 583 584 585 586 587 588 589
590 591 592 593 594 595 596 597 598 599

Numbers from 600 to 699

600 601 602 603 604 605 606 607 608 609
610 611 612 613 614 615 616 617 618 619
620 621 622 623 624 625 626 627 628 629
630 631 632 633 634 635 636 637 638 639
640 641 642 643 644 645 646 647 648 649
650 651 652 653 654 655 656 657 658 659
660 661 662 663 664 665 666 667 668 669
670 671 672 673 674 675 676 677 678 679
680 681 682 683 684 685 686 687 688 689
690 691 692 693 694 695 696 697 698 699
 21
Numbers from 700 to 799

700 701 702 703 704 705 706 707 708 709
710 711 712 713 714 715 716 717 718 719
720 721 722 723 724 725 726 727 728 729
730 731 732 733 734 735 736 737 738 739
740 741 742 743 744 745 746 747 748 749
750 751 752 753 754 755 756 757 758 759
760 761 762 763 764 765 766 767 768 769
770 771 772 773 774 775 776 777 778 779
780 781 782 783 784 785 786 787 788 789
790 791 792 793 794 795 796 797 798 799

Numbers from 800 to 899

800 801 802 803 804 805 806 807 808 809
810 811 812 813 814 815 816 817 818 819
820 821 882 823 824 825 826 827 828 829
830 831 832 833 834 835 836 837 838 839
840 841 842 843 844 845 846 847 848 849
850 851 852 853 854 855 856 857 858 859
860 861 862 863 864 865 866 867 868 869
870 871 872 873 874 875 876 877 878 879
880 881 882 883 884 885 886 887 888 889
890 891 892 893 894 895 896 897 898 899
 22
Numbers from 900 to 999

900 901 902 903 904 905 906 907 908 909
910 911 912 913 914 915 916 917 918 919
920 921 922 923 924 925 926 927 928 929
930 931 932 933 934 935 936 937 938 939
940 941 942 943 944 945 946 947 948 949
950 951 952 953 954 955 956 957 958 959
960 961 962 963 964 965 966 967 968 969
970 971 972 973 974 975 976 977 978 979
980 981 982 983 984 985 986 987 988 989
990 991 992 993 994 995 996 997 998 999

The number after 999 is 1000 ( One thousand )

10 Writing Numbers from 10 to 19

Ten

1 2 3 4 5 6 7 8 9
one two three four five six seven eight nine

Join 10 to 1 to get 11 Join 10 to 6 to get 16

Join 10 to 2 to get 12 Join 10 to 7 to get 17
Join 10 to 3 to get 13 Join 10 to 8 to get 18
Join 10 to 4 to get 14 Join 10 to 9 to get 19
Join 10 to 5 to get 15
10 + 1 = 11...... Ten + one = Eleven
10 + 2 = 12........Ten + two = Twelve................so on
We can write numbers from 10 to 19 in this way.
 23
Writing Numbers from 20 to 99

20 30 40 50 60 70 80 90
Twenty Thirty Forty Fifty Sixty Seventy Eighty Ninety

1 2 3 4 5 6 7 8 9
one two three four five six seven eight nine

Join 20 to 1, 2, 3, 4, 5, 6, 7, 8, 9 to get 21, 22, 23, 24, 25, 26, 27, 28, 29
Join 30 to 1, 2, 3, 4, 5, 6, 7, 8, 9 to get 31, 32, 33, 34, 35, 36, 37, 38, 39
Join 40 to 1, 2, 3, 4, 5, 6, 7, 8, 9 to get 41, 42, 43, 44, 45, 46, 47, 48, 49
Join 50 to 1, 2, 3, 4, 5, 6, 7, 8, 9 to get 51, 52, 53, 54, 55, 56, 57, 58, 59
Join 60 to 1, 2, 3, 4, 5, 6, 7, 8, 9 to get 61, 62, 63, 64, 65, 66, 67, 68, 69
Join 70 to 1, 2, 3, 4, 5, 6, 7, 8, 9 to get 71, 72, 73, 74, 75, 76, 77, 78, 79
Join 80 to 1, 2, 3, 4, 5, 6, 7, 8, 9 to get 81, 82, 83, 84, 85, 86, 87, 88, 89
Join 90 to 1, 2, 3, 4, 5, 6, 7, 8, 9 to get 91, 92, 93, 94, 95, 96, 97, 98, 99

20 + 1 = 21...... Twenty + one = Twenty one

20 + 2 = 22........Twenty + two = Twenty two................so on
We can write numbers from 20 to 99 in this way.


 24
Writing Numbers from 100 to 999

100 200 300 400 500 600 700 800 900

One Two Three Four Five Six Seven Eight Nine
hundred hundred hundred hundred hundred hundred hundred hundred hundred

1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99

Join 100 to 1, 2, 3, ....... till 99 to get 101, 102, 103,...............till 199

Join 200 to 1, 2, 3, ....... till 99 to get 201, 202, 203,...............till 299
Join 300 to 1, 2, 3, ....... till 99 to get 301, 302, 303,...............till 399
Join 400 to 1, 2, 3, ....... till 99 to get 401, 402, 403,...............till 499
Join 500 to 1, 2, 3, ....... till 99 to get 501, 502, 503,...............till 599
Join 600 to 1, 2, 3, ....... till 99 to get 601, 602, 603,...............till 699
Join 700 to 1, 2, 3, ....... till 99 to get 701, 702, 703,...............till 799
Join 800 to 1, 2, 3, ....... till 99 to get 801, 802, 803,...............till 899
Join 900 to 1, 2, 3, ....... till 99 to get 901, 902, 903,...............till 999

100 + 1 = 101...... Hundred + one = One hundred one

100 + 2 = 102...... Hundred + two = One hundred two...............so on
We can write numbers from 100 to 999 in this way.
 Numbers from 1 to 1000 25

Numeral Number name Numeral Number name

1 One 33 Thirty three
2 Two 34 Thirty four
3 Three 35 Thirty five
4 Four 36 Thirty six
5 Five 37 Thirty seven
6 Six 38 Thirty eight
7 Seven 39 Thirty nine
8 Eight 40 Forty
9 Nine 41 Forty one
10 Ten 42 Forty two
11 Eleven 43 Forty three
12 Twelve 44 Forty four
13 Thirteen 45 Forty five
14 Fourteen 46 Forty six
15 Fifteen 47 Forty seven
16 Sixteen 48 Forty eight
17 Seventeen 49 Forty nine
18 Eighteen 50 Fifty
19 Nineteen 51 Fifty one
20 Twenty 52 Fifty two
21 Twenty one 53 Fifty three
22 Twenty two 54 Fifty four
23 Twenty three 55 Fifty five
24 Twenty four 56 Fifty six
25 Twenty five 57 Fifty seven
26 Twenty six 58 Fifty eight
27 Twenty seven 59 Fifty nine
28 Twenty eight 60 Sixty
29 Twenty nine 61 Sixty one
30 Thirty 62 Sixty two
31 Thirty one 63 Sixty three
32 Thirty two 64 Sixty four
 Numbers from 1 to 1000 26

Numeral Number name Numeral Number name

65 Sixty five 97 Ninety seven
66 Sixty six 98 Ninety eight
67 Sixty seven 99 Ninety nine
68 Sixty eight 100 One hundred
69 Sixty nine 101 One hundred one
70 Seventy 102 One hundred two
71 Seventy one 103 One hundred three
72 Seventy two 104 One hundred four
73 Seventy three 105 One hundred five
74 Seventy four 106 One hundred six
75 Seventy five 107 One hundred seven
76 Seventy six 108 One hundred eight
77 Seventy seven 109 One hundred nine
78 Seventy eight 110 One hundred ten
79 Seventy nine 199 One hundred ninety nine

80 Eighty 200 Two hundred

81 Eighty one 201 Two hundred one
82 Eighty two 202 Two hundred two
83 Eighty three 299 Two hundred ninety nine

84 Eighty four 300 Three hundred

85 Eighty five 301 Three hundred one
86 Eighty six 302 Three hundred two
87 Eighty seven 399 Three hundred Ninety nine

88 Eighty eight 400 Four hundred

89 Eighty nine 401 Four hundred one
90 Ninety 402 Four hundred two
91 Ninety one 499 Four hundred Ninety nine

92 Ninety two 500 Five hundred

93 Ninety three 501 Five hundred one
94 Ninety four 502 Five hundred two
95 Ninety five 599 Five hundred Ninety nine

96 Ninety six 600 Six hundred

 Numbers from 1 to 1000 27

Numeral Number name Numeral Number name

601 Six hundred one 801 Eight hundred one
602 Six hundred two 802 Eight hundred two
699 Six hundred ninety nine 899 Eight hundred ninety nine

700 Seven hundred 900 Nine hundred

701 Seven hundred one 901 Nine hundred one
702 Seven hundred two 902 Nine hundred two
799 Seven hundred ninety nine 999 Nine hundred ninety nine

800 Eight hundred 1,000 One thousand

Numeral Number name The largest one digit number is 9

Nine 9 + 1 = 10
9
The number next to 9 is 10
10 Ten The smallest 2-digit number is 10

Numeral Number name The largest two digit number is 99

99 Ninety nine 99 + 1 = 100
The number next to 99 is 100
100 One hundred
The smallest 3-digit number is 100

Numeral Number name The largest three digit number is 999

999 NIne hundred ninety 999 + 1 = 1000
nine The number next to 999 is 1000
1000 One thousand The smallest 4-digit number is 1000


 28
Number line

A line on which numbers are marked is called 'The number line '.

0 1 2 3 4 5 6 7 8 9 10 11 12

Comparision of numbers

We can compare the numbers by saying which is greater and which is smaller.

Ex : 5, 2

5 dots are there in the left set and 2 dots are there in the right set.

5 is greater than 2. The symbol > denotes 'Greater than'.

5> 2 5 is greater than 2


Ex : 3, 6 29

3 dots are there in the left set and 6 dots are there in the right set.

3 is lessr than 6. The symbol < denotes 'Less than'.

3 < 6 3 is less than 6

Ex : 4, 4

4 dots are there in the left set and 4 dots are there in the right set.

4 is equal to 4 The symbol = denotes 'Equal to'.

4 = 4 4 is equal to 4

A natural number containing more digits represents a greater number

Ex : 983, 34
983 has 3 digits ( 9,8,3) and 34 has 2 digits (3,4)
So 983 > 34
983 is greater than 34

If two numerals contain the same number of digits, we compare them by

their left most digits.
If the left most digits are same in a numeral, we compare them by their
next digits from the left and so on.

Ex : 784, 673
These two numerals contain the same number of digits (3 digits).
The left most digit in 784 is 7
The left most digit in 673 is 6
7 > 6. So 784 > 673
Ex : 784, 763 30

These two numerals contain the same number of digits (3 digits).

The left most digit in 784 is 7
The left most digit in 763 is also 7
The next left most digit in 784 is 8
The next left most digit in 763 is 6
8 > 6. So 784 > 763

Ex : 784, 783
These two numerals contain the same number of digits (3 digits).
The left most digit in 784 is 7
The left most digit in 783 is also 7
The next left most digit in 784 is 8
The next left most digit in 783 is also 8
The next left most digit in 784 is 4
The next left most digit in 783 is 3
4 > 3. So 784 > 783

Observe the Number line

0 1 2 3 4 5 6 7 8 9 10 11 12

On a number line, every number is lesser than the numbers on the right
and is greater than the numbers on the left.

Ex : 5 < 6 5> 4
5 is less than 6 5 is greater than 4

Successor

The number that comes just after a particular number is called its 'Successor'.
By adding 1 to any natural number we get its 'Successor'

Ex : 36 + 1 = 37 The successor of 36 is 37
 Every number is less than its successor. 31

Ex : 7 < 8
The successor of 7 is 8. 7 is less than 8

Predecessor

The number that comes just before a particular number is called its
'Predecessor'.
By subtracting 1 from any natural number we get its 'Predecessor'

Ex : 42 - 1 = 41 The predecessor of 42 is 41

Every number is greater than its predecessor.

Ex : 7 < 8
The predesessor of 8 is 7. 8 is greater than 7

In whole numbers, zero (0) has no predecessor.

But the successor of zero (0) is 1

Every number lies between its successor and predecessor

Ex : 2 > 3 > 4
Here the successor of 3 is 4 and the predesessor of 3 is 2
3 lies between 2 and 4

Ascending order

9 < 10 < 11 < 12 < 13 < 14 < 15

Observe the order. These numbers are in the increasing order from smaller
to bigger.

If the numbers are in the order from smaller to bigger, it is called 'The Ascending
order' of numbers
 Descending order 32

15> 14 >13 > 12 >11 < 10 < 9

Observe the order. These numbers are in the decreasing order from bigger
to smaller

If the numbers are in the order from bigger to smaller, it is called

'The Descending order' of numbers

Revision
Number line

0 1 2 3 4 5 6 7 8 9 10 11 12

5> 2 5 is greater than 2 2< 5 2 is less than 5

7 = 7 7 is equal to 7

7 < 8
Predesessor Successor

2>3>4
Predesessor Successor

15
>
15

14
<

D >1
es
14

rs

ce 3
<

be

nd >
13

um

in 12
<

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fn

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12

rd
ro

er 1
<
de
<

of 10
11

or

nu <
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 Mathematical facts 33

Smallest numbers

The smallest one digit number is 0 ( Zero ) ( in Whole numbers)

The smallest one digit number is 1 ( One ) ( in Natural numbers)

The smallest two digit number is 10 ( Ten )

The smallest three digit number is 100 ( One hundred )

The smallest four digit number is 1000 ( One thousand )

Largest numbers

The largest one digit number is 9 ( Nine)

The largest two digit number is 99 ( Ninety nine )

The largest three digit number is 999 ( Nine hundred and Ninety nine )

Howmany numbers ?

10 numbers are there in all having one digit

0, 1, 2, 3, 4, 5, 6, 7, 8, 9...................Total = 10

90 numbers are there in all having two digits

10, 11, 12, 13, 14, 15...................till 99.........Total = 90

900 numbers are there in all having three digits

100, 101, 102, 103, 104, ............ till 999.... Total = 900

Howmany zeroes ?

10 has 1 zero

100 has 2 zeroes

1000 has 3 zeroes

 Multiples of 10 34

10 1 = 10 Ten ones are ten.

10 10 = 100 Ten tens are one hundred

10 100 = 1000 Ten hundreds are one thousand

Powers of 10

101 10

10 2 10 10 = 100

103 10 10 10 = 1000

Multiples of 100 Powers of 100

100 1 Hundred ones are hundred

1001 100
100 10 Hundred tens are one thousand

Multiples of 1000 Powers of 1000

1000 1 Thousand ones are

One Thousand 10001 1000

Mathematical Relations 10 ( Ten)

10 ones are 10 ( Ten)

Mathematical Relations 100 ( One hundred )

100 ones are 100 ( One hundred )

10 tens are 100 ( One hundred )

Mathematical Relations 1000 ( One thousand)

1000 ones are 1000 ( One thousand )

100 tens are 1000 ( One thousand

10 hundreds are 1000 ( One thousand

 35
Tables of Mathematical facts

1X1=1 1 X 10 = 10 1 X 100 = 100

2X1=2 2 X 10 = 20 2 X 100 = 200
3 X 1= 3 3 X 10 = 30 3 X 100 = 300
4 X 1= 4 4 X 10 = 40 4 X 100 = 400
5 X 1= 5 5 X 10 = 50 5 X 100 = 500
6X1=6 6 X 10 = 60 6 X 100 = 600
7X1=7 7 X 10 = 70 7 X 100 = 700
8X1=8 8 X 10 = 80 8 X 100 = 800
9X1=9 9 X 10 = 90 9 X 100 = 900
10 X 1 = 10 10 X 10 = 100 10 X 100 = 1000


 Exercise - 1 36

( 1 ) Count and tell the numbers

1) 2)
100
100
100

100

100
100
100

100
100
100
A) 410 A) 622

( 2 ) Write the numerals for the following numbers

1) Six hundred forty seven 2) Nine hundred ninety nine

A) 647 A) 999

3) One thousand 4) Seven hundred six

A) 1000 A) 706

( 3 ) Write the number names for the following numerals

1) 823 2) 647
A) Eight hundred twenty three A) Six hundred forty seven

3) 505 4) 770
A) Five hundred five A) Seven hundred seventy

( 4 ) Write the numeral after the number

1) 723 2) 845 3) 609 4) 510 5) 999

A) 724 A) 846 A) 610 A) 511 A) 1000

( 5 ) Write the numeral before the number

1) 636 2) 467 3) 709 4) 874 5) 800

A) 635 A) 466 A) 708 A) 873 A) 799

( 6 ) Write the missing number

1) 323, 325, 326, 327, 328 A) 324
2) 446, 448, 449, 450, 451 3) 589, 591, 592, 593, 594 37
A) 447 A) 590

( 7 ) Which is the largest number ?

1) 563, 645, 761, 887 2) 236, 456, 588, 967

A) 5, 6, 7, 8 are in hundreds place A) 2, 4, 5, 9 are in hundreds place

8 is the largest. 9 is the largest.

So, 887 is the largest number So, 967 is the largest number

3) 663, 78, 9
A) 663 contains 3 digits ( 6,6,3) and 78 contains only 2 digits and 9 is one digit number

So, 663 is the largest number

4) 796, 573, 278

A) These three numerals contain the same number of digits ( 3 digits)

The left most digit in 796 is 7

The left most digit in 573 is 5
The left most digit in 278 is 2
7 is greater than 5 and 2.
So, 796 is the largest number

5) 784, 763, 758

A) These three numerals contain the same number of digits ( 3 digits)

The left most digit in 784 is 7

The left most digit in 763 is also 7
The left most digit in 758 is also 7

The next left most digit in 784 is 8

The next left most digit in 763 is 6
The next left most digit in 758 is 5
8 is greater than 6 and 5
So, 784 is the largest number
6) 784, 783, 781 38
A) These three numerals contain the same number of digits ( 3 digits)

The left most digit in 784 is 7

The left most digit in 783 is also 7
The left most digit in 781 is also 7

The next left most digit in 784 is 8

The next left most digit in 783 is also 8
The next left most digit in 781 is also 8

The next left most digit in 784 is 4

The next left most digit in 783 is 3
The next left most digit in 781 is 1
4 is greater than 3 and 1
So, 784 is the largest number

( 8 ) Which is the smallest number ?

1) 563, 645, 761, 887 2) 236, 456, 588, 967

A) 5, 6, 7, 8 are in hundreds place A) 2, 4, 5, 9 are in hundreds place

5 is the smallest 2 is the smallest

So, 563 is the smallest number So, 236 is the smallest number

3) 663, 78, 9
A) 663 has 3 digits ( 6,6,3) and 78 has only 2 digits and 9 is one digit number

So, 9 is the smallest number

4) 796, 573, 278

A) These three numerals contain the same number of digits ( 3 digits)

The left most digit in 796 is 7

The left most digit in 573 is 5
The left most digit in 278 is 2
2 is smaller than 5 and 7.
So, 278 is the smallest number
5) 784, 763, 758 39
A) These three numerals contain the same number of digits ( 3 digits)

The left most digit in 784 is 7

The left most digit in 763 is also 7
The left most digit in 758 is also 7

The next left most digit in 784 is 8

The next left most digit in 763 is 6
The next left most digit in 758 is 5
5 is smaller than 6 and 8
So, 758 is the smallest number

6) 784, 783, 781

A) These three numerals contain the same number of digits ( 3 digits)

The left most digit in 784 is 7

The left most digit in 783 is also 7
The left most digit in 781 is also 7

The next left most digit in 784 is 8

The next left most digit in 783 is also 8
The next left most digit in 781 is also 8

The next left most digit in 784 is 4

The next left most digit in 783 is 3
The next left most digit in 781 is 1
1 is smaller than 3 and 4
So, 781 is the smallest number

( 9 ) Which is larger number ?

1) 763, 88
A) 763 has 3 digits ( 7,6,3) and 88 has only 2 digits

So, 763 is larger number

2) 964, 723 40
A) These two numerals contain the same number of digits ( 3 digits)
The left most digit in 964 is 9
The left most digit in 723 is 7
9 is greater than 7
So, 964 is larger number

3) 894, 863
A) These three numerals contain the same number of digits ( 3 digits)

The left most digit in 894 is 8

The left most digit in 863 is also 8

The next left most digit in 894 is 9

The next left most digit in 863 is 6
9 is greater than 6
So, 894 is larger number

4) 556, 558
A) These three numerals contain the same number of digits ( 3 digits)

The left most digit in 556 is 5

The left most digit in 558 is also 5

The next left most digit in 558 is 5

The next left most digit in 558 is also 5

The next left most digit in 556 is 6

The next left most digit in 558 is 8
8 is greater than 6
So, 558 is larger number

( 10 ) Which is smaller number ?

1) 763, 88
A) 763 has 3 digits ( 7,6,3) and 88 has only 2 digits

So, 88 is smaller number

2) 964, 723 41
A) These two numerals contain the same number of digits ( 3 digits)
The left most digit in 964 is 9
The left most digit in 723 is 7
7 is smaller than 9
So, 723 is smaller number

3) 894, 863
A) These three numerals contain the same number of digits ( 3 digits)

The left most digit in 894 is 8

The left most digit in 863 is also 8

The next left most digit in 894 is 9

The next left most digit in 863 is 6
6 is smaller than 9
So, 863 is smaller number

4) 556, 558
A) These three numerals contain the same number of digits ( 3 digits)

The left most digit in 556 is 5

The left most digit in 558 is also 5

The next left most digit in 558 is 5

The next left most digit in 558 is also 5

The next left most digit in 556 is 6

The next left most digit in 558 is 8
6 is smaller than 8
So, 556 is smaller number

( 11 ) Write the next number

1) 741, 742, 743, 744 2) 838, 839, 840, 841 3) 941, 942, 943, 944
A) 745 A) 842 A) 945
( 12 ) Write the number that comes before these numbers 42

1) 741, 742, 743, 744 2) 838, 839, 840, 841 3) 941, 942, 943, 944
A) 740 A) 837 A) 940

( 13 ) Write the number in expanded form

1) 823 2) 950

A) 823 A) 950
= 8 hundreds + 2 tens + 3 ones = 9 hundreds + 5 tens + 0 ones
= (8 100) + ( 2 10) + (3 1) = (9 100) + ( 52 10) + (0 1)
= 800 + 20 +3 = 900 + 50 + 0

( 14 ) Write the number in shortened form

1) 8 hundreds + 2 tens + 7 ones 2) 7 hundreds + 0 tens + 9 ones

= 800 + 20 + 7 = 700 + 0 + 9
= 827 = 709

( 15 ) Complete the series of the numbers

1) 100........, 300, 400, 500

A) 100, 200, 300, 400, 500

2) 100, 200, 300,400,................1000

A) 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000

3) 10, 110, 210, 310, 410, .......................... 910

A) 10, 110, 210, 310, 410, 510, 610, 710, 810, 910

4) 20, 120, 220, 320, 420, .......................... 920

A) 20, 120, 220, 320, 420, 520, 620, 720, 820, 920

5) 30, 130, 230, 330, 430, .......................... 930

A) 30, 130, 230, 330, 430, 530, 630, 730, 830, 930

6) 40, 140, 240, 340, 440, .......................... 940

A) 40, 140, 240, 340, 440, 540, 640, 740, 840, 940

7) 50, 150, 250, 350, 450, .......................... 950

A) 50, 150, 250, 350, 450, 550, 650, 750, 850, 950
8) 60, 160, 260, 360, 460, .......................... 960 43
A) 60, 160, 260, 360, 460, 560, 660, 760, 860, 960

9) 70, 170, 270, 370, 470, .......................... 970

A) 70, 170, 270, 370, 470, 570, 670, 770, 870, 970

10) 80, 180, 280, 380, 480, .......................... 980

A) 80, 180, 280, 380, 480, 580, 680, 780, 880, 980

11) 90, 190, 290, 390, 490, .......................... 990

A) 90, 190, 290, 390, 490, 590, 690, 790, 890, 990

12) 1000, 900, 800, 700, .......................100

A) 1000, 900, 800, 700, 600, 500, 400, 300, 200, 100

13) 950, 850, 750, 650..................................50

A) 950, 850, 750, 650, 550, 450, 350, 250, 150, 50

14) 0, 50, 100, 150, 200, 250, 300, 350....................................1000

A) 0, 50, 100, 150, 200, 250, 300, 350, 400, 450, 500,
550, 600, 650, 700, 750, 800, 850, 900, 950, 1000

( 16 ) Write the numbers that can be formed by the digits

1) 6, 7 8
A) 678, 687, 768, 786, 867, 876

2) 9, 6 4
A) 964, 946, 694, 649, 496, 469

( 17 ) Circle all the numbers greater than 320

210, 410, 112, 560, 98, 770

A) 210, 410, 112, 560, 98, 770

( 18 ) Circle all the numbers less than 426

231, 576, 332, 674, 410

A) 231, 576, 332, 674, 410

( 19 ) Insert the sign > or < or = between the numbers 44

1) 6, 3 2) 4, 7 3) 47, 23 4) 33, 96
A) 6 > 3 A) 4 < 7 A) 47 > 23 A) 33 < 96

5) 525, 231 6) 674, 926 7) 5, 5 7) 20, 20

A) 525 > 231 A) 674 < 926 A) 5 = 5 A) 20 = 20

9) 983, 983 10) 100, 100

A) 983 = 983 A) 100 = 100

( 20 ) Arrange the numbers in ascending order

1) 36, 47, 22, 96, 54

A) 22 < 36 < 47 < 54 < 96

2) 926, 678, 426, 576, 845,

A) 426 < 576 < 678 < 845 < 926

( 21 ) Arrange the numbers in descending order

1) 345, 567, 487, 812, 945

A) 945 > 812 > 567 > 487 > 345

2) 466, 235, 832, 764, 555

A) 832 > 764 > 555 > 466 > 235


 Exercise - 2 Bits 45

1) 783 is .......... digit number A) three

2) The smallest three digit number is ...... A) 100

3) The largest three digit number is ...... A) 999

4) ...... numbers are there in all having three digit A) 900

5) Ten hundreds make ............... A) 1 thousand

6) Thousand ones make ............... A) 1 thousand

7) Hundred tens make ............... A) 1 thousand

8) Counting from right to left, the third place is called the ..........................
A) Hundreds place

9) Hundreds place is ....... times greater than tens place A) 10

10) Hundreds place is ....... times greater than ones place A) 100

11) The place value of 4 in the numeral 473 is ................ A) 400

( Because 4 is in hundreds place. 4 hundreds are 400)

12) The place value of 1 in the numeral 100 is ................ A) 100

13) .......... places are there in the numeral 765 A) three

14) 8 is in hundreds place. Its place value is........

A) 800 ( 8 hundreds are 800 )

15) 0 is in hundreds place. Its place value is...... A) 0

16) ............. hundreds are there in 436 A) 4

17) If we add 1 to 999, we get ....... A) 1000

18) 40 more than 500 is ....... A) 540

19) 68 more than 700 is ....... A) 768

20) In the numeral 765, the digit 7 stands for 7....... A) hundreds

21) In the numeral 856, ........ is in hundreds place A) 8

 46

22) 7 is in hundreds place , 5 is in tens place and 4 is in ones place. The numeral is ........
A) 754

23) 7 is in hundreds place, 0 is in tens place and 8 is in ones place. The numeral is ........
A) 708

24) 8 is in hundreds place, 0 is in tens place and 0 is in ones place. The numeral is ........
A) 800

25) ........... zeroes are there in 1000 A) three

26) ........ is the smallest number formed by the digits 4, 9 and 7 A) 479

27) ........ is the largest number formed by the digits 5, 8 and 9 A) 985

28) A line on which numbers are marked is called ........................

A) The number line

29) We can compare the numbers by saying which is ................. and which is ............
A) greater and smaller

30) The symbol > denotes ........................

A) Greater than

31) 5 > 2. 5 is ............................... 2

A) greater than

32) The symbol < denotes ........................

A) Less than

33) 3 < 9. 3 is ............................... 9

A) less than

34) The symbol = denotes.......................

A) Equal to

35) 5 = 5. 5 is ............................... 5
A) equal to

36) A natural number containing more digits represents a .................number

A) greater
 47

37) If two numerals contain the same number of digits, we compare them by their...........
most digits
A) left
38) If the left most digits are same in a numeral, we compare them by their next digits from
the .......... and so on
A) left

39) On a number line, every number is ................ than the numbers on the right.
A) lesser

40) On a number line, every number is ................ than the numbers on the left
A) greater

41) The number that comes just after a particular number is called its ................
A) Successor

42) By adding 1 to any natural number, we get its..........................

A) Successor

43) The successor of 47 is ...........

A) 48

44) Every number is ............. than its successor

A) less

45) The number that comes just before a particular number is called its ................
A) Predecessor

46) By subtracting 1 from any natural number, we get its..........................

A) Predecessor

47) The predecessor 47 is ...........

A) 46

48) Every number is ............. than its predecessor

A) greater

49) In whole numbers, ............. has no predecessor

A) zero (0)
50) The successor of zero (0) is .........
A) 1
 48

51) Every number lies between its .............. and ...........

A) successor and predecessor

52) If the numbers are in the order from smaller to bigger, it is called ' ..............of numbers
A) Ascending order

53) If the numbers are in the order from bigger to smaller, it is called ' ..............of numbers
A) Descending order

54) 432<............<.434. Write the middle number

A) 433


 Jamiah Ashraf Academy of Islam and Modern Science 49
Numbers -1
www.jaaims.in
Max. Marks = 25
Name :
Model Test Paper - 1
Role no : Time : 1 hour

I. Answer any 8 of the following questions 8 * 2 = 16 M

1) Write the numeral for 'Four hundred Sixty Seven'

2) Write the number name for 843
3) Write the numeral after the number 954
4) Write the numeral before the number 550
5) Write the missing number : 734, 736, 737, 738
6) Write the largest number : 566, 646, 768, 889
7) Write the smallest number : 640, 530, 880, 760
8) Write the number 954 in expanded form
9) Write the number in shortened form : 9 hundreds, 5 tens 4 ones
10) Complete the series of the following numbers :
0, 50, 100, 150, 200, 250, 300, 350.................................1000
11) Write the numbers that can be formed by the digits 9, 4 and 5
12) Which is larger number among 723, 965

II. Fill up the blanks 9*1=9M

1) Hundred tens make ............................

2) A line on which numbers are marked is called..................
3) Hundreds place is ........ times greater than ones place
4) The number that comes just after a particular number is called its ................
5) The largest three digit number is .........
6) The smallest three digit number is .....
7) If the numbers are in the order from smaller to bigger, it is called ' ..............of num-
bers
8) Counting from right to left, the third place is called..............
9) By subtracting 1 from any natural number, we get its..........................
 Jamiah Ashraf Academy of Islam and Modern Science 50
www.jaaims.in

Answers for

Model Test Paper - 1

I. Answer any 8 of the following questions 8 * 2 = 16 M

1) Write the numeral for 'Four hundred Sixty Seven'
A) 467
2) Write the number name for 843
A) Eight hundred forty three
3) Write the numeral after the number 954
A) 955
4) Write the numeral before the number 550
A) 549
5) Write the missing number : 734, 736, 737, 738
A) 735
6) Write the largest number : 566, 646, 768, 889
A) 889
7) Write the smallest number : 640, 530, 880, 760
A) 530
8) Write the number 954 in expanded form
A) 954 = 9 hundreds + 5 tens + 4 ones = 900 + 50 + 4
9) Write the number in shortened form : 9 hundreds 5 tens 4 ones
A) 9 hundreds + 5 tens + 4 ones = 900+50+4 = 954
10) Complete the series of the following numbers :
0, 50, 100, 150, 200, 250, 300, 350.................................1000
A) 0, 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850,
900, 950, 1000
11) Write the numbers that can be formed by the digits 9, 4 and 5
A) 945, 954, 495, 459, 594, 549
12) Which is larger number among 723, 965
A) 965
 51

II. Fill up the blanks 9*1=9M

1) Hundred tens make ............................
A) One thousand
2) A line on which numbers are marked is called..................
A) Number line
3) Hundreds place is ........ times greater than ones place
A) 100
4) The number that comes just after a particular number is called its ................
A) Successor
5) The largest three digit number is .........
A) 999
6) The smallest three digit number is .....
A) 100
7) If the numbers are in the order from smaller to bigger, it is called ' ..............of num-
bers
A) Ascending order
8) Counting from right to left, the third place is called..............
A) Hundreds place
9) By subtracting 1 from any natural number, we get its..........................
A) Predecessor