Download The Answer is……

SOL 4.22 Demonstrating
the Meaning of Equality
Now Lets Review What We Just
Learned
= Means Equal
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=
=
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Balanced
means =
This is NOT EQUAL

7 + 3 = 10
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These Are Examples of Equations
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2=2
17 = 2 + 15
x=7
7=x
t + 3 = 8 what does t =?
5 x 3= 10 + 5
2+3=5
Remember- Both sides
of an equation have to be equal!
Commutative Property
of Addition
Definition – The addends can
exchange places and still equal the
same sum.

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Example – 7+2=2+7
Commutative Property
of Multiplication
Definition – The factors can
exchange places and still equal the
same product.
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Example – 3 x 2 = 2 x 3
Associative Property
of Addition
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Definition – The addends can be
grouped differently and still equal
the same sum.
Example – 2+(3+4)=(2+3)+4
Associative Property
of Multiplication
Definition – The factors can be
grouped differently and still equal
the same product.
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Example – 5x(3x2)=(5x3)x2
Let’s Practice a
Few Problems...
2
1
3
4
6
8
5
7
9
10
Question 1

What property is shown here?
34 + 27 = 27 + 34
A. Commutative Property of Addition
B. Commutative Property of Multiplication
C. Associative Property of Addition
D. Associative Property of Multiplication
Answer 1

What property is shown here?
34 + 27 = 27 + 34
Answer:
A. Commutative Property of Addition
Question 2

What property is shown here?
48 + (73 + 16) = (48 + 73) + 16
A. Commutative Property of Addition
B. Commutative Property of Multiplication
C. Associative Property of Addition
D. Associative Property of Multiplication
Answer 2

What property is shown here?
48 + (73 + 16) = (48 + 73) + 16
Answer:
C. Associative Property of Addition
Question 3

What property is shown here?
18 x (22 x 49) = (18 x 22) x 49
A. Commutative Property of Addition
B. Commutative Property of Multiplication
C. Associative Property of Addition
D. Associative Property of Multiplication
Answer 3

What property is shown here?
18 x (22 x 49) = (18 x 22) x 49
Answer:
D. Associative Property of Multiplication
Question 4

What property is shown here?
66 x 37 = 37 x 66
A. Commutative Property of Addition
B. Commutative Property of Multiplication
C. Associative Property of Addition
D. Associative Property of Multiplication
Answer 4

What property is shown here?
66 x 37 = 37 x 66
Answer:
B. Commutative Property of Multiplication
Question 5

Which shows the Commutative
Property of Addition?
A. 7+2+3=3+7+8
B. 7+(2+3)=(2+2)+7
C. 7+2+3=2+3+7
D. 7+2+3=5+7+2
Answer 5

Which shows the Commutative
Property of Addition?
Answer:
C. 7+2+3=2+3+7
Question 6

Which shows the Associative
Property of Multiplication?
A. (6 x 5) x 2 = 6 x (5 x 2)
B. 6 x 5 x 2 = 5 x 6 x 2
C. 5 x (6 x 2) = 5 x (6 x 2)
D. 5 x 6 x 2 = 6 x 10
Answer 6

Which shows the Associative
Property of Multiplication?
Answer:
A. (6 x 5) x 2 = 6 x (5 x 2)
Question 7

Which shows the Commutative
Property of Multiplication?
A. 7 x 8 x 4 = 7 x 16 x 2
B. (7 x 8) x 4 = 7 x (2 x 16)
C. 7 x 8 x 4 = 8 x 4 x 7
D. 7 x (8 x 4) = (7 x 8) x 4
Answer 7

Which shows the Commutative
Property of Multiplication?
Answer:
C. 7 x 8 x 4 = 8 x 4 x 7
Question 8

Which shows the Associative
Property of Addition?
A. 6 + 9 + 12 = 12 + 6 + 9
B. 6 + (9 + 12) = (6 + 9) + 12
C. 6 + 9 + 12 = 15 + 12
D. 6 + (9 + 12) = (9 + 12) + 6
Answer 8

Which shows the Associative
Property of Addition?
Answer:
B. 6 + (9 + 12) = (6 + 9) + 12
Answer 9

Which of the following goes in the
blank to make this statement true:
62 + (13 + 4) = ______
Answer:
A. 62 x 17
B.
17 + (13 + 62)
C.
(62 + 13) + 4
D.
62 + 4
Question 10

Which will be true if an equal sign
(=) is placed in the empty box?
A. 5 x4 ___ 4 x 5
B. 5 x 4___ 4 ÷ 5
C. 5 x 4 ___ 5 + 4
D. 5 x 4 ___ 5 - 4
Answer 10
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Which is the best answer for:
14 + 22 = _____
Answer:
A.
22 – 14
B.
22 x 14
C.
22 ÷ 14
D.
22 + 14
These properties also work using
symbols
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If
= 5 and = 4 and =
2, which statement would be
true?
A + = +
B + = +
C + =
+
D + = +
How Should we solve this
problem?
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First, lets substitute each shape
with its numerical value.
Remember, = 5 and = 4 and
= 2, which statement would then
be true?
A. 5 + 2 = 4 + 5
B. 2 + 4 = 2 + 5
C. 2 + 4 = 5 + 5
D. 5 + 4 = 4 + 5
The Answer is……

(
D 5+4=4+5
+
=
+
)