**What are the foundations for evaluating three-digit numbers?**

**(I)** Numbers lower than three digits are all the time smaller than three-digit numbers:

100 > 99 , 100 > 9 or 9 < 100 , 99 < 100

125 > 75 , 327 > 59 , 107 > 8 , and many others.

**(ii)** If each numbers have the identical quantity (three) digits, the leftmost digits are in contrast.

(a) If the third digit from the precise (100 digits) of 1 quantity is larger than the third digit from the precise (100 digits) of the opposite quantity, the quantity with the upper third digit from the precise is the bigger one.

Thus, the quantity with the biggest digit to the left is bigger,

**like:**

913 > 899 , 749 > 698 , 576 > 425

(b) If the third digits of the numbers are the identical from the precise, the digits within the tens place are in contrast and the foundations for evaluating two-digit numbers are taken into consideration.

958 > 949 , 876 > 867 , 564 > 559

If the digits within the lots of and tens place are equal, the foundations for evaluating single-digit numbers are taken into consideration.

958 > 956 , 876 > 875 , 634 > 630

**Tips on how to organize 3 digit numbers** **In ascending and descending order:**

**(I)** Arranging the numbers 237, 185, 271, 146, 329 in ascending order:

Numbers organized in ascending order** **146, 185, 237, 271, 329.

**(ii)** Arranging the numbers 204, 318, 432, 155, 296 in descending order:

Numbers organized in descending order** **432, 318, 296, 204, 155.

**(iii)** Arranging the numbers 471, 295, 311, 163, 239 in ascending order:

Numbers organized in ascending order** **163, 239, 295, 311, 471.

**(iv)** Arranging the numbers 374, 198, 282, 351, 461 in descending order:

Numbers organized in descending order** **461, 374, 351, 282, 198.

**Due to this fact, any four-digit quantity is all the time higher than a three-digit quantity.**

1000 > 999 , 2000 > 700 , 3150 > 550 , and many others.

● Numbers are in contrast from left to proper.

● If the numbers are equal in a single place, examine the quantity to the precise within the subsequent place.

**I. Sort the proper signal (>, < or =)**

(i) 807 ………… 721

(ii) 87 ………… 40

(iii) 597 ………… 848

(iv) 927 ………… 498

(v) 759 ………… 216

(vi) 357 ………… 589

(vii) 444 ………… 444

(viii) 888 ………… 777

(ix) 256 ………… 572

(x) 201 ………… 602

(xi) 346 ………… 346

(xii) 652 ………… 352

**II. Write in ascending order:**

(i) 50, 20, 10, 40, 70, 60

(ii) 24, 18, 78, 64, 83, 55

(iii) 782, 364, 598, 528, 610, 798

(iv) 368, 316, 552, 225, 749, 493

(v) 537, 400, 163, 662, 225, 897

**III. Write in descending order:**

(i) 221, 631, 170, 492, 538, 113

(ii) 442, 113, 262, 552, 749, 821

(iii) 105, 90, 172, 450, 552, 339

(iv) 90, 420, 117, 768, 688, 180

(v) 172, 450, 680, 351, 536, 223

**third Grade Arithmetic Classes**

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