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# Multiplication Properties - Teacher

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```									Multiplication
Objective:
Today will learn how to multiply numbers
with 2 digits by numbers with 1 digit.

Example:
34
x 9
Why do we need to know the
Multiplication Properties?
It helps you solve problems
without working them out.
It helps with mental math.
It makes understanding
math easier.
Vocabulary To Know:
Factor
Product
Commutative Property
Associative Property
Identity Property
Zero Property
Distributive Property
Factor
The numbers that are multiplied together
in a multiplication problem.

Example:

34 x 9 = 306
Product
The answer to a multiplication problem.

Example:

34 x 9 = 306
Commutative
Property of Multiplication
The order that factors (numbers) are
multiplied will not change the product

Example:

56 x 4 = 4 x 56
Commutative
Property of Multiplication
Lets Practice:
1. 34 x 8 = ____ x 34
2. 5 x ____ = 62 x 5
3. ____ x 9 = 9 x 71
Associative
Property of Multiplication
The way that factors (numbers) are grouped
will not change the product (answer).

Example:

(21 x 3) x 9 = 21 x (3 x 9)
Associative
Property of Multiplication

Lets Practice:
1. 34 x (___ x 6) = (34 x 8) x 6
2. (431 x 6) x 3 = ___ x (6 x 3)
3. 19 x (___ x ___) = (19 x 2) x 7
Zero
Property of Multiplication
Any factor (number) multiplied by 0 will
equal 0.

Example:

679 x 0 = 0
Zero
Property of Multiplication
Lets Practice:
1. 43 x 0 = ____
2. 35 x ____ = 0
Identity
Property of Multiplication
Any factor (number) multiplied by 1 will
equal that number.

Example:

679 x 1 = 679
Identity
Property of Multiplication
Lets Practice:
1. 55 x 1 = ____
2. 77 x ____ = 77
Distributive
Property of Multiplication
When two addends are multiplied by a factor the
product will be the same as when each addend is
multiplied by the factor and the products are added.

Example:

(2 + 3) x 4 = (2 x 4) + (3 x 4)
Distributive
Property of Multiplication
Lets Practice:
1. (2 + 6) x 34 = (___ x 34) + (___ x 34)
2. (6 + 9) x 16 = (___ x 16) + (___ x 16)
3. (4 + 5) x 23 = (4 x ___) + (5 x ___)
4. (___ + 3) x 11 = (7 x 11) + (3 x 11)
5. (___ + ___) x 90 = (4 x 90) + (1 x 90)
2 Digit x 1 Digit
Multiplication Steps
1. Write the problem – lining up the place
values (ones under ones).
2. Multiply the bottom number in the ones
place by the top number in the ones place.
3. Write the answer below the problem in the
ones place. Regroup if necessary.
4. Multiply the bottom number in the ones
place by the top number in the tens place
and add the number you carried if you
have one.
5. Write the answer below the problem in the
tens place.
2 Digit x 1 Digit

2      1
Start
Here
2 Digit x 1 Digit

1
1       2
2       1
5
6       0
Hand Trick:

UP then OVER!
2 Digit x 1 Digit

1
6        3
2       1
4
2 5       2
Hand Trick:

UP then OVER!
2 Digit x 1 Digit

6
9       9
2       1
7
6 9       3
Hand Trick:

UP then OVER!
You Try One…

2
8       4
2       1
6
5 0       4
You Try Another…

7
1    9
8
1 5    2
You Try Another…

3    1
9
2 7    9
3 Digit x 1 Digit

1
2 1       2
3 2 1
1
5
1, 0   6    0
3 Digit x 1 Digit

1 2
6 3       9
3 2 1
1
3
1, 9   1    7
2 & 3 Digit x 1 Digit

Independent Practice
1. 14 x 5 =    6. 28 x 1 =
2. 62 x 2 =    7. 26 x 3 =
3. 234 x 9 =   8. 343 x 6 =
4. 45 x 7 =    9. 54 x 8 =
5. 87 x 4 =    10. 414 x 3 =
2 Digit x 2 Digit Steps
Step 1: Write the
problem making sure
you line up the correct
place values.
2     1   2     1      Step 2: Do the green
Start     Start
Here
steps first.
Here
Step 3: Mark out the
number you carried
and add a zero to hold

0
the ones place.
Step 4: Do the red
steps next.
together.
Hand Trick:
UP then OVER and
OVER then UP!
1              2 Digit x 2 Digit
1               Step 1: Write the
problem making sure
4      6        you line up the correct
place values.

2      3
2   1   2   1    Step 2: Do the green
steps first.
Step 3: Mark out the

1 3      8        number you carried
and add a zero to hold

0
the ones place.
9 2               Step 4: Do the red
steps next.

1, 0 5      8        Step 5: Add the green
together.
Hand Trick:
UP then OVER and
OVER then UP!
2 Digit x 2 Digit
1                Step 1: Write the
problem making sure
8       3        you line up the correct
place values.

5       2
2    1   2   1    Step 2: Do the green
steps first.
1                  Step 3: Mark out the

1 6       6        number you carried
and add a zero to hold

0
the ones place.
4 1 5                 Step 4: Do the red
steps next.

4, 3 1       6        Step 5: Add the green
together.
Hand Trick:
UP then OVER and
OVER then UP!
1       2 Digit x 2 Digit
3        Step 1: Write the
problem making sure
9   4    you line up the correct
place values.

3   8
Step 2: Do the green
steps first.
Step 3: Mark out the

1
7 5   2    number you carried
and add a zero to hold

0
the ones place.
2 8 2         Step 4: Do the red
steps next.

3, 5 7   2    Step 5: Add the green
together.
Hand Trick:
UP then OVER and
OVER then UP!
1       2 Digit x 2 Digit
2        Step 1: Write the
problem making sure
8   5    you line up the correct
place values.

2   5
Step 2: Do the green
steps first.
Step 3: Mark out the

1
4 2   5    number you carried
and add a zero to hold

0
the ones place.
1 7 0         Step 4: Do the red
steps next.

2, 1 2   5    Step 5: Add the green
together.
You try one…
1        Step 1: Write the
problem making sure
2   3    you line up the correct
place values.

1   4
Step 2: Do the green
steps first.
Step 3: Mark out the

1
9   2    number you carried
and add a zero to hold

0
the ones place.
2 3        Step 4: Do the red
steps next.

3 2   2    Step 5: Add the green
together.
1       You try another…
2         Step 1: Write the
problem making sure
7   3     you line up the correct
place values.

4   8
Step 2: Do the green
steps first.
1           Step 3: Mark out the

1
5 8   4     number you carried
and add a zero to hold

0
the ones place.
2 9 2          Step 4: Do the red
steps next.

3, 5 0   4     Step 5: Add the green
together.
2 Digit x 2 Digit

Independent Practice
1. 26 x 35 =   6. 28 x 12 =
2. 62 x 41 =   7. 26 x 37 =
3. 34 x 99 =   8. 43 x 62 =
4. 45 x 74 =   9. 54 x 86 =
5. 87 x 73 =   10. 44 x 38 =
3 Digit x 2 Digit

What do you think the steps will be
to multiply a 3 Digit x a 2 Digit?

548          423           937
x 19         x 25          x 62
Great Job!

```
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