MATH THIRD QUARTER 1ST GRADE

MULTIPLICATION

​- repeated addition

- shortens the process of addition​

MAKING ADDITION SENTENCE INTO MULTIPLICATION SENTENCE

follow the format

CCA​

(count, copy, and answer)

MAKING ADDITION SENTENCE INTO MULTIPLICATION SENTENCE

5+5+5+5+5+5+5=35

COUNT - 7

COPY - 5

ANSWER - 35​​

5 X 7 = 35​

​EXAMPLES​:

2+2+2+2=8

COUNT - 4

COPY - 2

ANSWER - 8​​

4 X 2 = 8​

MAKING MULTIPLICATION SENTENCE INTO ADDITION SENTENCE

8 X 7=56

COUNT - 8

COPY - 7

ANSWER - 56​​

7+7+7+7+7+7+7+7=56

​EXAMPLES​:

3 X 9=27

COUNT - 3

COPY - 9

ANSWER - 27​​

3+3+3=27

PARTS OF MULTIPLICATION SENTENCE

​MULTIPLICAND

-the number of groups

-number that is being multiplied

-first number in the multiplication sentence​

​MULTIPLIER

- the number of objects in each group

-number that multiplies​

-second number in the multiplication sentence​

PRODUCT

-answer in multiplication​​​

​

PARTS OF MULTIPLICATION SENTENCE

​EXAMPLE:

​5 x 2 = 10

5 is the MULTIPLICAND

2 is the MULTIPLIER

5 and 2 are FACTORS​

10 is the PRODUCT​

​FACTORS

-the multiplicand and multiplier

-the two numbers being multiplied

​

TIMES SIGN​ (x)

-the sign used for multiplication​

​0X1=0

0X2=0

0X3=0

0X4=0

0X5=0

0X6=0

0X7=0

0X8=0

0X9=0

0X10=0​

​

​1X1=1

1X2=2

1X3=3

1X4=4

1X5=5

1X6=6

1X7=7

1X8=8

1X9=9

1X10=10​

​

​2X1=2

2X2=4

2X3=6

2X4=8

2X5=10

2X6=12

2X7=14

2X8=16

2X9=18

2X10=20​

​

​3X1=3

3X2=6

3X3=9

3X4=12

3X5=15

3X6=18

3X7=21

3X8=24

3X9=27

3X10=30​

​

​4X1=4

4X2=8

4X3=12

4X4=16

4X5=20

4X6=24

4X7=28

4X8=32

4X9=36

4X10=40​

​

​5X1=5

5X2=10

5X3=15

5X4=20

5X5=25

5X6=30

5X7=35

5X8=40

5X9=45

5X10=50​

​

MULTIPLICATION WITH TWO OR MORE DIGITS

​EXAMPLE:

52

X4

---------

208

​

​

4X2=8 (write 8 on the left)

4X5=20

ANSWER IS 208​

​

​

MULTIPLICATION WITH REGROUPING

​EXAMPLE:​

89

X5

---------

445

​

​

5X9=45 (write 5 on the left, carry over 4)

5x8=40 + 4 (carry over) =44

ANSWER IS 445​

​

​

​6X1=6

6X2=12

6X3=18

6X4=24

6X5=30

6X6=36

6X7=42

6X8=48

6X9=54

6X10=60​

​

​7X1=7

7X2=14

7X3=21

7X4=28

7X5=35

7X6=42

7X7=49

7X8=56

7X9=63

7X10=70​

​

​8X1=8

8X2=16

8X3=24

8X4=32

8X5=40

8X6=48

8X7=56

8X8=64

8X9=72

8X10=80​

​

​9X1=9

9X2=18

9X3=27

9X4=36

9X5=45

9X6=54

9X7=63

9X8=72

9X9=81

9X10=90​

​

​10X1=10

10X2=20

10X3=30

10X4=40

10X5=50

10X6=60

10X7=70

10X8=80

10X9=90

10X10=100​

​

X9 TECHNIQUE

9X6=

6-1=5

10-6=4

ANSWER 54​

​X10 TECHNIQUE

just add 0 at the ending​

​

1x1=1

2x2=4

3X3=9

4X4=36

5X5=25

6X6=36

7X7=49

8X8=64

9X9=81

10X10=90​

​

TECHNIQUE FOR CONSECUTIVE NUMBERS

example:5x6, 6x7, 7x8, 8x9

choose the lower number and multiply by itself

6x7=

the lower number is 6

6x6=36

add another 6 to make it 6x7

36+6=​42

6x7=42​

PROPERTIES OF MULTIPLICATION

ASSOCIATIVE PROPERTY OF MULTIPLICATION (APM)​

​CHANGING THE GROUPING OF THE FACTORS DOES NOT AFFECT THE PRODUCT. THE PRODUCT REMAINS THE SAME.

​

5 X 3= 15

3 X 5 = 15​

COMMUTATIVE PROPERTY OF MULTIPLICATION (CPM)​

​CHANGING THE POSITION OF THE FACTORS DOES NOT AFFECT THE PRODUCT. THE PRODUCT REMAINS THE SAME.

CLUE: it uses parentheses ()​

​

(5 X 3) x 2= 30

5 x (3 x 2) = 30​

IDENTITY PROPERTY OF MULTIPLICATION (IPM)​

​ANY NUMBER MULTIPLIED BY 1, THE ANSWER IS THE NUMBER ITSELF.

​​

1 X 100 =100​

1 X 5 = 5

99 X 1 = 99

3 X 1 = 3​

ZERO PROPERTY OF MULTIPLICATION (IPM)​

​ANY NUMBER MULTIPLIED BY ZERO (0), THE ANSWER IS ZERO (0).

​​

0 X 5000 = 0

0 X 4 = 0

1 X 0 = 0

100 X 0 = 0​