Lesson 10 - Writing and Expanidng

Lesson 10 ­ Writing and Expanidng Multiplication Expressions.notebook February 24, 2014
Lesson 10: Writing and Expanding Multiplication Expressions
Today's Objective:
I will identify parts of an expression using mathematical
terms for multiplication.
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Lesson 10 ­ Writing and Expanidng Multiplication Expressions.notebook February 24, 2014
Let's Review the Properties we discussed in Lesson 8:
Additive Identity Property of Zero
Multiplicative Identity Property of One
Commutative property of Addition and Multiplication
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Lesson 10 ­ Writing and Expanidng Multiplication Expressions.notebook February 24, 2014
DISCUSSION:
When we want to show multiplication of two numbers, like 5 and 7,
we typically write 5 X 7, using the "x" to show the operation. When
we start to use variables with multiplication, we can use other
forms.
axb
a
.b
Wh
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u
x wh ld we us
e en va
riable a form o
th
s are
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ab
(a)(b)
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Lesson 10 ­ Writing and Expanidng Multiplication Expressions.notebook February 24, 2014
Example 1:
Write each expression using the fewest number of symbols and
characters. Use math terms to describe the expressions and parts of
the expressions.
a. 6 x b
b. 4.3.h
c. 2 x 2 x 2 a x b
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Lesson 10 ­ Writing and Expanidng Multiplication Expressions.notebook February 24, 2014
d. 5 x m 3 x p
e. 1 x g x w
Wh
at P
RO
P
you ERTY
use
can
?
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Lesson 10 ­ Writing and Expanidng Multiplication Expressions.notebook February 24, 2014
Example 2:
.
To expand multiplication expressions we will rewrite the expressions
by including the " " back into the expressions.
a. 5g
b. 7abc
c. 12g
.
e. 7g .9h
d. 3h 8
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Lesson 10 ­ Writing and Expanidng Multiplication Expressions.notebook February 24, 2014
Example 3
a. Find the product of 4f .7g
b. Multiply 3de.9yz
c. Double the product of 6y and 3bc
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Lesson 10 ­ Writing and Expanidng Multiplication Expressions.notebook February 24, 2014
Lesson Summary:
An expression in Expanded form: An expression that is written as sums(and/or
differences) of products whose factors are numbers, variables, or variables raised to
whole number powers is said to be in expanded form. A single number, variable, or a
single product of numbers and/or variables is also considered to be in expanded form.
• What is the difference between simplifying and expanding?
• How would you describe the following terms?
> FACTOR
> VARIABLE
> PRODUCT
> COEFFICIENT
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Lesson 10 ­ Writing and Expanidng Multiplication Expressions.notebook February 24, 2014
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Lesson 10 ­ Writing and Expanidng Multiplication Expressions.notebook February 24, 2014
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