3. PRAYER
Dear Lord, Our Almighty God, thank you for keeping us safe
and for showering us with Your blessings. Forgive our sins
and grant us the knowledge and perseverance we need to
gain wisdom. Bless us today with intelligence and a
peaceful environment as we learn new things to make us
better individuals. Bless our teachers and classmates;
make them useful instruments in making our quest for an
excellent education a reality. All these we pray, in the name
of Jesus, Amen.
6. Reminders:
1. Always turn on your video camera.
2. Do not click “PRESENT BUTTON” unless you are asked to.
3. Use the “CHAT BOX” to post your concern, comments and
answer related to the discussion.
4. Log-in in the beginning of the Google meet time.
5. Log-out in the end of the Google meet time.
6. If you want to go to comfort room, press 1.
7. Do not open your microphone, if you are not answering or if the
teacher is discussing.
8. Enjoy the class.
10. LEARNING COMPETENCIES
C.1 The learner compares
numbers up to 1 000 000.
C.2 The learner orders numbers
up to 100 000 in increasing or
decreasing order.
11. Number and Number sense:
Number Theory
LESSON 02
Ordering and
Comparing Numbers
13. COMPARING NUMBERS
We use the relation symbols “greater
than” (>), “less than” (<), and “equal
to” (=) to compare numbers.
To compare whole numbers,
look first at the digits in
the highest place values. If
these digits are equal, then
compare the next digits.
14. EXAMPLES
● Let us compare the two given numbers.
1 325 ___________ 1 487
● Compare the digits in the thousands place.
Since the digits in the thousands place are
same, go to the next digits. Compare the
digits in the hundreds place.
15. Since 3 is smaller than 4, then 1
487 is greater than 1 325. In
symbols, we write: 1 487 > 1325. We
can also say that 1 325 is less than
1 487 or 1 325 < 1 487.
25. ORDERING NUMBERS
● To arrange whole numbers either
from the least to greatest or vice
versa, compare them. Always start the
comparison of whole numbers from
the highest place value.
26. Example:
● It is easy to arrange or order number if there is mastery in
comparing numbers. In the given, the grades of the five
students are: 92, 99, 95, 91, and 90.
● All the tens digits are 9, so compare the ones digits. Since we
are looking are looking for the student who got the top
position, then the arrangement of the numbers should be
from the greatest to the least. The highest ones digits is 9
and the smallest ones digit is 0. Therefore, the arrangement
of numbers from the greatest to the least should be 99, 95,
92, 91, and 90.
27. Other examples:
From least to greatest:
935 942 904 964
Answer: 904 935 942 964
8 356 3 657 9 326 5 674
Answer: 3 657 5 674 8 356 9 326
30. Della, Victoria, Rachel and Monica are three friends, their
heights are (159 cm), (172 cm), (169 cm) and (168 cm)
respectively. Can you tell which one is the smallest and
which is the tallest?
In order to decide who the tallest girl is, we will have
to arrange their heights in a particular order. So,
Della (159 cm), Monica (168cm), Rachel (169cm)
and Victoria (172cm), with this we get that Della is
the shortest. Now, we will find out who is the
tallest, by arranging the heights in decreasing
order – Victoria (172 cm), Rachel (169 cm), Monica
(168 cm) and Della (159 cm) with this we can get
that Victoria is the tallest girl.
31. When we arrange the numbers in an
increasing order, it is known
as Ascending Order, and when the
words are arranged in a decreasing
order, and then they are known
as Descending Order.
32. • For ascending check the smallest
number from the given list and place it
first and then put the numbers
according to the increasing order.
• For descending check the biggest
number from the given list and place it
first and then put the numbers
according to the decreasing order.
38. Write YES on the line if the statement is
correct and NO if not.
1. 132 001 is less than 132 010.
2. 223 300 is greater than 212 003.
3. 5 543 350 is less than 5 343 300.
4. 103 435 356 is greater than 10 435 239.
5. 124 563 is less than 144 359.
6. 255 893 is greater than 252 893.
7. 783 293 is less than 803 563.
8. 453 549 is greater than 534 893.
9. 252 893 is less than 223 893.
10. 13 833 400 is equal to 13 483 004.
