This document provides instructions on how to multiply decimals. It explains that you should place the number with more digits on top when lining up the factors. You count the total number of decimal places in the factors to determine where to place the decimal point in the product. Examples are provided to demonstrate multiplying decimals, such as 0.53 x 2.618 = 1.387. The document also briefly reviews properties of multiplication, such as the commutative, associative, and identity properties.

1. Multiplying Decimals
Lesson 1-7

2. Problem of the Day: Solve
the equations below
:
• Find the sum or difference:
• 8 - .8 = 12.3 + .123 =
• 3.8 - .99= 3.12- .312=
• 12.56 + 234.56= 8.3+ .99=

3. Problem of the Day: Solve
the equations below
:
• In a basketball game Lebron James makes 5
three pointers and 14 two point shots. How
many points in total did he score? If his
normal average point total per game is 27.6,
did he play above or below his average?

4. LO: Eagle Scholars will be able to
multiply decimals
• You do not line up the factors by the decimal
point.
• Instead, place the number with more digits on
top.
• Line up the other number underneath, at the
right.
• Multiply
• Count the number of decimal places (from the
right) in each factor.
• Use the total number of decimal places in
your two factors to place the decimal in your
product.

5. Example: 5.63 x 3.7
1
4 2
5.63 two
x 37 .
one
1 1
139 4 1
+ 168 9 0
20.8 31 three

6. Example: 0.53 x 2.618
2.618 has more digits (4) than 0.53 (3), so it goes on top.
3 4 Decimal Places
1 2
2 618 .
three
x 0 53 1
. two
7 854
130 900
+ 000 000
1.38 754 five

7. Try This: 6.5 x 15.3
3 1
2 1
15.3 one
x 6.5
1
one
76 5
+ 918 0
9 9.4 5 two

8. Multiplication Properties
Commutative Property of Multiplication: Factors can be multiplied
in any order.
Example: 12 x 5 = 5 x 12
Associative Property of Multiplication: Factors can be grouped in
any way.
Example: (2 x 3) x 5 = 2 x (3 x 5)
Identity Property of Multiplication: The product of any number and
one is that number.
Example: 18 x 1 = 18