Unit 1: Number Sense
Topic D: Ordering Numerals
We arrange numerals in order from smallest to largest. Sorting numbered papers such as order forms, arranging items by the date and comparing prices are some of the ways you use this skill.
Look at two numerals and tell which one is larger. How do you do this?
Exercise 1
Draw a line under the larger numeral in each pair.
 43, 48
 27, 21
 64, 63
 24, 35
 92, 89
 72, 81
Answers to Exercise 1
 27
 64
 35
 92
 81
To compare numerals, look at the place with the largest value.
Example A: Compare 63 and 59
Look at the tens place.
 63 has a 6 in the tens place
 59 has a 5 in the tens place.
 63 is larger than 59.
Example B: Compare 496 and 476
Look at the hundreds place.
 Both have 4’s.
Look at the tens place.
 496 has a 9 in the tens place
 476 has a 7 in the tens place.
 496 is larger than 476.
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 2
Draw a line under the larger numeral in each pair. Check your work using the answer key at the end of the exercise.
 36, 46
 580, 59
 87, 67
 716, 116
 429, 449
 289, 283
 471, 422
 316, 322
 876, 318
Answers to Exercise 2
 580
 87
 716
 449
 289
 471
 322
 876
Exercise 3
Draw a line under the larger numeral in each pair. Check your work using the answer key at the end of the exercise.
 148, 151
 129, 132
 34, 37
 325, 236
 118, 13
 489 423
 471, 422
 316, 322
 876, 319
Answers to Exercise 3
 132
 37
 325
 118
 489
 471
 322
 876
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, 61, 16, 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 4
Arrange these numbers in order from smallest to largest. Check your work using the answer key at the end of the exercise.
 323, 32, 332, 33, 3, 322, 2
 44, 7, 474, 47, 744, 74, 77
 123, 135, 152, 125
 472, 427, 452, 475
Answers to Exercise 4
 2, 3, 32, 33, 322, 323, 332
 7, 44, 47, 74, 77, 474, 744
 123, 125, 135, 152
 427, 452, 472, 475
Greater Than, Less Than, Equals
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 point or the tip of the sign is close to the small number.
 5 < 12 means 5 is less than 12
 6 > 3 means 6 is greater than 3
The sign = means “equals” and is used when two amounts are the same.
Remember
The hungry mouth goes to the biggest number.
Exercise 5
Write <, >, or = in each blank as needed. Check your work using the answer key at the end of the exercise.
 3 < 5
 8 > 7
 12 9
 28 28
 48 84
 376 376
 520 530
 582 521
 674 296
 214 251
 879 900
 784 784
Answers to Exercise 5
 >
 =
 <
 =
 <
 >
 >
 <
 <
 =
Topic D SelfTest
Mark /12 Aim 10/12
 Box the larger number of each pair. (6 marks)
 978, 789
 566, 556
 120, 142
 701, 710
 430, 403
 879, 987
 Arrange these numerals in order from smallest to largest. (2 marks)
 75, 754, 475, 47, 747, 574, 775
 18, 237, 429, 824, 37, 994, 112
 Write >, <. or = in each blank to make a true statement. (4 marks)
 678 768
 102 100
 463 846
 101 101
Answers to Topic D Self Test

 978
 566
 142
 710
 430
 987

 47, 75, 475, 574, 747, 754, 775
 18, 37, 112, 237, 429, 824, 994

 <
 >
 <
 =