1. 3rd Grade Comparing and Ordering Numbers

2. 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. 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. Comparing Numbers > = Greater than < = Less than
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. Think of the signs like the mouth of an alligator
Think of the signs like the mouth of an alligator. The alligator is greedy and always eats the larger number.
58 > 25
Greater than symbol

6. No matter which way he faces, he still wants to eat the bigger number.
< 58
Less than symbol

7. How to compare numbers 1 2 3 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 7

8. When two numbers are the same, you will use the equal sign to compare them.
= 25

9. < > > < < 16 25 1,275 1,105 155 130 5,607 7,902 335 675
Lets try some!
<
1, ,105
>
>
5, ,902
<
<

10. 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.

11. 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
725
The 3 is the smallest number, therefore 365 is the smallest number.

12. 536 365 725 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
725 2 1
The 5 is the smallest number out of the two, therefore 536 is the next smallest number in the set.

13. All of the numbers are the same.
Write < > or = =
2,425
2,425
All of the numbers are the same. 13

14. < 50,000 Write < > or = Five thousand
What about word & standard form 14

15. 536 365 725 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
725 2 1 3
The 725 is the largest number.
We would list them as 365, 536, 725.

16. Lets try one. Put these numbers in order from least to greatest.
536, 126, 227
126, 227, 536

17. 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. Which one belongs in the middle?
125
256
136 C. 102
B D. 302

19. If you know how to compare numbers, you know how to put them in order
Put these numbers in order
from greatest to least
1, ,271 2 4 3 1 19

20. Order the numbers: Greatest to Least-Which set is correct
983
984
998
b. 998
905
c. 998
d. 984

21. Put these numbers in order from greatest to least
35, , 2 1 3 4 21

22. Which set is correct: Comparison Symbols <,>,=
4,650>4,575<4,590
4,575>4,650>4,590
4,575<4,590<4,650
4,650>4,575>4,590