Unit 1 : Whole
Numbers
Hello!
Education
Mabuhay!
Place Value
Did you know?
By the end of the 7th century, decimal numbers begin to appear in
inscriptions in Southeast Asia as well as in India.
Some scholars hold that they appeared even earlier. A 6th centrury
copper-plate grant at Mankani bearing the numeral 346 is often
cited. But its reliability is subject to dispute.
The first indisputable occurrence of zero (0) in an inscription
occurs at Gwalior in 876 CE, containing a numeral “270” in a
notation surprisingly similar to ours.
Hindu -
Arabic or
Decimal
System
Unlike other numeration system such as the Roman Numeration, the Hindu-Arabic
system uses place value which makes it easier to read numbers.
Place Value Chart
Thousands Hundreds Tens Ones
1000 100 10 1
In a four-digit number, the place value of each digit
from left to right are thousands, hundreds, tens, and
ones.
Math 1 - TMPG
The place value chart belows the number 4 728
Place Value Chart
Place Value in Thousands Hundreds Tens Ones
Words
Place Value in 1000 100 10 1
Figures
Given Number 4 7 2 8
The number 4 728 is read as “ four thousand, seven hundred
twenty-eight ”
Math 1 - TMPG
Observe that the value is simply the product of the digit in the number 4
728.
Digit Place Value Value
Word Figure
8 ones 1 8x1=8
2 tens 10 2 x 10 = 20
7 hundreds 100 7 x 100 = 700
4 thousands 1 000 4 x 1000 = 4000
Give the place value and the value of the digit
8 in each numeral
Number Place Value Value
More 1. 485
Examples 2. 825
3. 8 032
4. 7 908
5. 1 873
Write the following in words
1. 461 More
2. 809
3. 4 045 Examples
4. 7 420
5. 3 004
Write the following in symbols
1. Five hundred eight
2. Two hundred forty-six
More 3. Three thousand, eight hundred seventy
Examples 4. Eight Thousand, eight hundred seventy
5. Six thousand, two
Answer the following.
1. What is the digit with the biggest
value in 1 459?
2. What is the sum of the digits in the More
tens and thousands place in the
numeral 9 087?
Examples
3. Which digit has the smallest value in
the numeral 1 089?
Let’s Recall
The place values in a 4-digit number are thousands,
hunreds, tens and ones.
The value of each digit in a numeral is the digit
multiplied by its place value.
Math 1 - TMPG
Assignment
Watch “Donald Duck in Mathmagic
Land” and make a reaction paper.
Video is Available on Youtube.
https://www.youtube.com/watch?
v=U_ZHsk0-eF0
Quiz no.1
Give the place value and the value of the digit 5 in each numeral.
Write the digit with the smallest and biggest value. Write the number
in words.
Number Place Value Value Biggest Smallest In words
Value Value
1. 765
2. 8 059
3. 540
4. 6 005
5. 5 847
Math 1 - TMPG
Table of Contents.
01 02 03
Place Value Addition of Whole Subtraction of
Numbers Whole Numbers
04 05
Multiplication of Division of Whole
Whole Numbers Numbers
Addition of
Whole Numbers
Did you know?
Accorrding to news published on
CNN Philippines, the latest finding
registred a total of 534 new islands
in the Philippines which more than
the 400 previously announced. From
just 7 107 the Philippines now has a
total od 7 641 islands.
Addition
Originally, the Philippines has a total 7 107 islands. Lately, 534
new islands are added which makes out total number of islands as 7
641. It means that 7 107 + 534 = 7 641.
In the addition sentence 7 107 + 534 = 7 641, 7 107 and 534 are
called addends while 7 641 is called sum. Addends are the
numbers being added while sum is the result in addtion.
Addition is the process of putting two or more numbers things
togther.
Addition with the
use of illustration
3 4 7
The illustration abouve clearly shows that to find the total number of mangoes, we can
simply count them from left to right. The addition sentence would be 3 + 4 = 7.
Addition with the
3 4 use of block
model
7
Properties of Addition
1. Commutative Property of Addition (CPA)
- It says that the order of the addends does not affect the sum.
4+3=3+4=7
Properties of Addition
2. Associative Property of Addition (APA)
- It says that changing the grouping of the addends does not affect the
sum.
(8+7)+2 = 8+ (7+2)
15+2 = 8 + 9
17 = 17
Properties of Addition
3. Identity Property of Addition (IPA)
- states that the sum of a number and zero is the same number.
8 +0 = 8 0 + 35 = 35 1+0=1
Adding Two to Three - Digit
Number
Step 1 : Arrange trhe numbers in column so that the digits of the same
place value are aligned.
Step 2: Add the digit on the ones place, tens place, then the hundreds
place
Ex. : Find the sum of 74 and 162.
Let’s Recall
Addition is the process of putting two or more numbers things togther.
Addends are the numbers being added while sum is the result in addtion.
Commutative Property of Addition (CPA) states that the order of the
addends does not affect the sum. Associative Property of Addition (APA)
states that changing the grouping of the addends does not affect the sum.
Identity Property of Addition (IPA) states that the sum of a number and zero
is the same number.
Math 1 - TMPG
Table of Contents.
01 02 03
Place Value Addition of Whole Subtraction of
Numbers Whole Numbers
04 05
Multiplication of Division of Whole
Whole Numbers Numbers
Subtraction of
Whole Numbers
Did you know?
The saltwater crocodile is the largest of
all living reptiles. It is found in suitable
habitats in from Nothern Australia
through Southeast Asia to the eastern
coast of India. An adult crododile’s
weight is 409 to 1 000 kilograms and
lenght is 4.1 to 5.5 meters.
Subtraction
Subtraction is the process of taking away one number from another. For instance, if an
older crocodile has a lenght of 6 meters while the younger crocodile has a length of 4
meters, then what is the difference in their lengths?
To find the difference, we subtract 4 from 6 ,
the illustration shows that the difference between 6 and 4 is 2.
It means 6 -4 = 2
Subtraction
Another way to show this is by using the inverse operation of subtraction
which is addition. That is 4 + _ = 6. So what should be added to 4 to get a
sum of 6? This shows that subtraction is like finding the missing addend.
In 6 -4 =2, 6 is called the minuend. It is the numbers being subtracted
from. The number 4 is called the subtrahend or the number used to
subtract. Then, 2 is called difference or remainder, which is the answer in
subtraction.
Subtraction
Subtraction is the inverse operation of addition. It means that 6-4 = 2 may
be translated into an addition sentence:
Subtraction Sentence:
6-4=2
Addition Sentence:
4 + 2 = 6 0r 2 + 4 = 6
Subtraction of Two to Three - Digit
Number
Step 1 : Arrange the numbers in column so that the digits of the same
place value fall on the same column
Step 2: Subtract the ones digit
Step 3: Subtract the tens digit
Step 4: Subtract the hundreds digit.
Subtraction of Two to Three - Digit
Number
Problem 1:
James has 79 pesos. He bought a piece of sandwhich at 25 pesos. How
much money does he have left?
Problem 2:
Enya has a collection of 342 keychains. Of these 157 are foreign and
the rest are Philippine made. How many of her keychains are Phillipine
made?
Let’s Recall
Subtraction is the process of taking away one number from
another.
Subtraction is the inverse operation of addition.
Minued the numbers being subtracted from; the subtrahend
si the number used to subtract; while difference is called
to the answer in subtraction.
Math 1 - TMPG
Table of Contents.
01 02 03
Place Value Addition of Whole Subtraction of
Numbers Whole Numbers
04 05
Multiplication of Division of Whole
Whole Numbers Numbers
Multiplication of
Whole Numbers
Did you know?
The giraffe is an African even-toed
ungulate mammal and the tallest living
teresterial animmal in the world. It
stands 5-6 m tall and has an average
weight of 830 kg for females and about
twice as much for males.
Multiplication
In Did You Know?, the average weight of the male giraffe is around twice that
of the female. The word “twice” means double or multiply by 2. Since the
average weight of a female giraffe is 830 kg, then that of the male is around
830 x 2 which is 1 660 kg.
In the Multiplication sentence, 830 x 2 = 1 660, 830 and 2 are called the
factors while 1 660 is called product.
Multiplication as Repeated Addition
Find the sum of the followiing .
1.
2.
3.
Multiplication is called repeated addition since adding the
same number repeatedly may be expressed as multiplication
instead.
Multiplication
Basics Multiplication Facts
Basic multiplication facts are easy to memorize by
using the Multiplication Table, skip counting or the
concept of multiples. Use of flashcard would be a great
help to.
Properties of Multiplication
1. Commutative Property of Multiplication (CPM)
- when the order of the factors is changed, the product is still the same.
3 x 5 = 5 x 3 = 15
Properties of Multiplication
2. Associative Property of Multiplication (APM)
-Changing the grouping of the factors does not affect the product.
(2 x 8) x 5= 2 x (8 x 5)
16 x 5 = 2 x 40
80 = 80
Properties of Multiplication
3. Identity Property of Multiplication (IPM)
- states that the product of a number and 1 is the same number.
8x1=8 1x6=6
Properties of Multiplication
4. Zero Property of Multiplication (ZPM)
- Any number multiplied by zero is zero.
82 x 0 = 0 0 x 16 = 0
Let’s Recall
Multiplication is called repeated addition .
The numbers being multiplied are called factors while the answer is called
product.
Commutative Property of Multiplication when the order of the factors is
changed, the product is still the same. Associative Property of
Multiplication (APM) when changing the grouping of the factors does not
affect the product. Identity Property of Multiplication (IPM) states that the
product of a number and 1 is the same number. Zero Property of
Multiplication (ZPM) states any number multiplied by zero is zero.
Math 1 - TMPG
Table of Contents.
01 02 03
Place Value Addition of Whole Subtraction of
Numbers Whole Numbers
04 05
Multiplication of Division of Whole
Whole Numbers Numbers
Division of Whole
Numbers
Did you know?
Messages from the brain travel
along the nerves at up to 200 miles
an hour (322 km/h)
Division
The process of division can be expressed as:
where,
10 is called dividend or the number being divided
2 is called the divisor or the number that divides
5 is called the qoutient or the answer of the division
Division as Repeated Subtraction
Division is called repeated subtraction . To answer the question,
“How many 2’s are in 10?”, we may either subtract 2
repeatedly or simply divide.
10 - 2 = 8
8 -2 = 6
6 -2 = 4
4-2=2
2 -2 = 0
The process shows that there are five 2’s in 10.
Division as Inverse Operation of Multiplication
Division is inverse operation of multiplication. For , may be
written as 5 x 2 = 10 or 2 x 5 = 10. It means that
dividend divisor = qoutient may be written as
divisor x qoutient = dividend
Division
Let’s Recall
Division is called repeated subtraction
Division is inverse operation of multiplication.
The number being divided is called the dividend.
The number that divides is called the divisor.
The result is called the qoutient.
Math 1 - TMPG
Assignment
Create flashcards for Addition,
Subtraction , Multiplication, and Division.
25 - Addition
25 - Subtraction
Use Multiplication and Division table for
multiplication and division.
Use your Creativity!
Certificate of Completion
You have successfully completed
Unit 1 - Whole Numbers
Congratulations!
08/25/2023
Date Signature
Thank you!
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