This document provides information about comparing and ordering numbers, including: - Key vocabulary terms like place value, digits, greater than, less than, and equal signs. - How to compare numbers using the appropriate symbol (> for greater than, < for less than, = for equal). - How to order numbers from least to greatest or greatest to least by examining each place value from left to right. - Examples of comparing and ordering different numbers.

1. 4210011 0010 1010 1101 0001 0100 1011
Comparing and
Ordering Numbers

2. 421
0011 0010 1010 1101 0001 0100 1011
Vocabulary
• Place value - The value of a place of a digit in a
number.
• Digits - Any one of the tens symbols 0, 1, 2, 3, 4,
5, 6, 7, 8, or 9 used to write numbers.
• Greater Than (>) - A symbol used to compare two
numbers, with the greater number given first.
Example: 8 > 6
• Less Than (<) - A symbol used to compare two
numbers, with the lesser number given first.
Example: 6 < 8

3. 421
0011 0010 1010 1101 0001 0100 1011
Vocabulary
• Equal (=) - Two numbers or number
sentences being alike in value on either
side.
• Compare - To examine 2 or more objects or
people to find out how they are alike and
how they are different.
• Ordering - To put numbers or objects in a
specific order. Example: listing from
greatest to least or least to greatest.

4. 421
0011 0010 1010 1101 0001 0100 1011
Comparing Numbers
• Comparing numbers means to show one
number is more than, less than, or equal to
another number.
• We use symbols to show the relationship.
> Greater than
< Less than
= means equal to

5. 421
0011 0010 1010 1101 0001 0100 1011
Think of the signs like the
mouth of an alligator.
The alligator is greedy and
always eats the larger number.
58 > 25Greater than symbol

6. 421
0011 0010 1010 1101 0001 0100 1011
No matter which way he faces,
he still wants to eat the bigger
number.
25 < 58Less than symbol

7. How to compare numbers
Line up the
numbers
Compare at
highest
place value
If numbers
are the same
go to next digit
to the right
12,391
8,971
13,762
12,391
8,971
13,762
12,391
8,971
13,762
1 2 3

8. 421
0011 0010 1010 1101 0001 0100 1011
Write < > or =
Five thousand 50,000<
What about word &
standard form

9. 421
0011 0010 1010 1101 0001 0100 1011
When two numbers are the
same, you will use the equal
sign to compare them.
25 = 25

10. Write < > or =
2,425 2,425=
All of the numbers are the
same.

11. 421
0011 0010 1010 1101 0001 0100 1011
Lets try some!
16 25<
>155 130
335 675<
1,275 1,105>
5,607 7,902<

12. 421
0011 0010 1010 1101 0001 0100 1011
Ordering Numbers
• Ordering numbers is putting numbers in a
given order, either from least to greatest or
greatest to least.
• 1, 3, 7, 9, 11 is listed from least to greatest.
• 11, 9, 7, 3, 1 is listed from greatest to least.

13. 421
0011 0010 1010 1101 0001 0100 1011
Ordering Numbers
• Lets put these numbers in
order from least to greatest.
• To put these in order, start in
the hundreds place.
• Look at the 5, 3, and 7. Out
of those three numbers,
which is the smallest?
536
365
725The 3 is the smallest number,
therefore 365 is the smallest
number.

14. 421
0011 0010 1010 1101 0001 0100 1011
Ordering Numbers
• We see that 365 is the
smallest number.
• Now lets compare the 5 and
the 7.
• Which one of these two is
smaller?
536
365
725The 5 is the smallest number out
of the two, therefore 536 is the
next smallest number in the set.
1
2

15. 421
0011 0010 1010 1101 0001 0100 1011
Ordering Numbers
• We see that 365 is the
smallest number.
• We see that 536 is the
middle number.
• Therefore, which is the
largest number?
• How would we list them?
536
365
725The 725 is the largest number.
1
2
3
We would list them as 365, 536, 725.

16. 421
0011 0010 1010 1101 0001 0100 1011
Lets try one.
Put these numbers in order from
least to greatest.
536, 126, 227
126, 227, 536

17. 421
0011 0010 1010 1101 0001 0100 1011
Lets try one.
Put these numbers in order from
greatest to least.
2,603; 5,892; 1,879
5,892; 2,603; 1,879

18. 421
0011 0010 1010 1101 0001 0100 1011
Which one belongs in the middle?
125 256
A.136 C. 102
B. 256 D. 302

19. 421
0011 0010 1010 1101 0001 0100 1011
If you know how to compare
numbers, you know how to put
them in order
1,730 14 569 9,271
Put these numbers in order
from greatest to least
12 34

20. 421
0011 0010 1010 1101 0001 0100 1011
Order the numbers: Greatest to
Least-Which set is correct
a. 905 983 984 998
b. 998 983 984 905
c. 998 984 983 905
d. 984 983 905 998

21. Put these numbers in order from
greatest to least
35,872 36,872 569 9
12 3 4

22. 421
0011 0010 1010 1101 0001 0100 1011
Which set is correct: Comparison
Symbols <,>,=
A.4,650>4,575<4,590
B.4,575>4,650>4,590
C.4,575<4,590<4,650
D.4,650>4,575>4,590