Unit 1: Number Sense
Topic C: Ordering Numerals
In this topic you will learn to arrange numerals in order from smallest to largest. Sorting numbered papers such as order forms, arranging items by the date and comparing prices are examples of the ways you use this skill. First look at pairs of numerals. Look at two numerals and tell which one is larger. How do you do this?
Exercise One
Identify the larger number in each pair.
 431; 484 – 484 is larger
 267; 251
 684; 693
 274; 315
 932; 895
 792; 810
Answers to Exercise One
 267
 693
 315
 932
 810
To compare numerals, look at the place with the largest value.
Example A: Compare 1 628 and 1 599.
 thousands are the same.
 hundreds
 1628 has 6 hundreds.
 1599 has 5 hundreds.
 1628 is larger than 1 599.
Example B: Compare 13 562 and 13 612
 ten thousands are the same thousands are the same
 hundreds
 13562 has 5 hundreds
 13612 has 6 hundreds
 13612 is larger than 13562.
Example C: Compare 673234 and 673423
 hundred thousands are the same
 ten thousands are the same
 thousands are the same
 hundreds
 673234 has 2 hundreds
 673423 has 4 hundreds
Note: Numerals with one digit are always less than numerals with two digits. Numerals with two digits are always less than numerals with three digits, and so on.
 9 is less than 15
 87 is less than 107
 999 is less than 1 001
Exercise Two
Draw a box around the larger numeral in each pair. Check your work using the answer key at the end of the exercise.
 1016; 1316
 1229; 1329
 5230; 5210
 2151; 2159
 83476; 93475
 31276; 31576
 46821; 46801
 343; 3740
 8325; 8236
Answers to Exercise Two
 1329
 5280
 2159
 93476
 31576
 46821
 3740
 8325
Now use the same ideas to arrange more than two numerals in order.
For example, to arrange 6, 616, 1, 66, 666, 61, and 16 in order from smallest to largest, use the following method:
 First, sort the numerals with the same number of digits into groups.
 6, 1
 66, 16, 61
 and 616, 666
 The group of one digit numerals contains 6 and 1. As 1 is smaller than 6, the list starts with 1, then 6.
 The group of twodigit numerals contains 66, 61, and 16. Use your skills in ordering numerals to see that 16 is smallest, then 61, and 66 is the largest of this group. The list now reads, 1, 6, 16, 61, 66.
 Finally, look at the threedigit numerals, 616 and 666. As 616 is smaller than 666, it will come first. The list now reads:
 1, 6, 16, 61, 66, 616, 666.
Exercise Three
Arrange these numbers in order from smallest to largest. Check your work using the answer key at the end of the exercise.
 1235; 1352; 1523; 1253
 47259; 42759; 45279; 47592
 73050; 76940; 79053; 73502
 456 719; 465 981; 546 423; 564 082
 12546; 5781; 423; 172901
 114444; 444; 14; 1114444; 44
 777; 17; 71; 7177; 717; 77177
Answers to Exercise Three
 1235, 1253, 1352, 1523
 42759, 45279, 47259, 47592
 73050, 73, 502, 76940, 79053
 456719, 465981, 546423, 564082
 423, 5781, 12546, 172901
 14, 44, 444, 114444, 1114444
 17, 71, 717, 777, 7177, 77177
Greater Than, Less Than, Equal
The sign < means is less than (smaller than).
The sign > means is greater than (bigger than).
The greater than and less than signs always point to the smaller number (that is, the small part of the sign is close to the small number.)
5 < 12 5 is less than 12
6 > 3 6 is greater than 3
The sign = means equals and is used when two amounts are the same.
The sign means not equal to and is used when two amounts are not the same.
Exercise Three
Write <, >, or = in each blank as needed. Check your work using the answer key at the end of the exercise.
 4376 12376
 342981 324762
 1520 1530
 5821 5821
 3674 3296
 6214 6251
Answers to Exercise Three
 <
 >
 <
 =
 >
 <
Topic C: SelfTest
Mark /12 Aim 10/12
 Box the larger number of each pair. (6 marks)
 9784; 7892
 56663; 56566
 13204; 14420
 721011; 721101
 461300; 416003
 2879921; 2987721
 Arrange these numerals in order from smallest to largest. (2 marks)
 75; 754; 475; 47; 5747; 5774; 77575
 18; 23070; 429; 7824; 37; 994; 1120
 Write >, <. or = in each blank to make a true statement. (4 marks)
 3678 3768
 14002 14000
 38463 3846
 10010 10010
Answers to Topic C: SelfTest

 9784
 56663
 14420
 721101
 461300
 2987721

 47, 75, 475, 754, 5747, 5774, 77575
 18, 37, 429, 994, 1120, 7824, 23070

 <
 >
 >
 =