Download Properties - Simpson County Schools

Math
Properties
Day 1
1
What Are You Learning?
I
CAN identify
properites.
2
Why Do You Need To Know This?

Properties are used to solve a variety of
problems.

Understanding and knowing the properties
makes it easier to solve problems.
3
Vocabulary
Equivalent expressions—
expressions that have the same value
Properties—Statement that is true for
any # or variable
4
Vocabulary
Distributive Property—To
multiply a sum by a number,
multiply each addend of the sum
by the number outside the
parentheses.
Ex: 3(4 + 6) = 3(4) + 3(6)
5
Vocabulary
Commutative Property—The
order in which two numbers are
added or multiplied does not
change their sum or product.
Ex: 5 + 4 = 4 + 5
9x7=7x9
6
Vocabulary
Associative Property—The way in
which three numbers are grouped
when they are added or multiplied
does not change their sum or
product.
Ex: (2 x 3) x 7 = 2 x (3 x 7)
(6 + 4) +8 = 6 + (4 + 8)
7
Vocabulary
Identity Property—The sum of an addend and
zero is the addend. The product of a factor and
one is the factor.
Additive Identity—Identity is zero.
Multiplicative Identity—Identity is one.
Ex:
5x1=5
9+0=9
8
Name the property shown by each
statement.
a.
6 + (2 + 7) = (6 + 2) + 7
f.
7=1x7
b.
15 x 10 = 10 x 15
g.
24 + 5 = 5 + 24
c.
4x1=4
h.
4(a + 5) = 4(a) + 4(5)
d.
4(6 + 8) = 4(6) + 4(8)
i.
7+0=7
e.
1 x (3 x 4) = (1 x 3) x 4
j.
(11 x 4) x 8 = 11 x (4 x 8)
9
Name the property shown by each
statement.
m+n=n+m
1
2
3
4
5
6
7
8
9
10
21
22
23
24
25
26
27
28
29
30
11
12
13
14
m
m
co
as
so
ut
a
ci
at
iv
15
e
tiv
e
e
4.
st
rib
ut
iv
3.
di
2.
id
associative
commutative
identity
distributive
1.
en
tit
y
25% 25% 25% 25%
16
17
18
19
20
10
Name the property shown by each
statement.
3+0=3
1
2
3
4
5
6
7
8
9
10
21
22
23
24
25
26
27
28
29
30
11
12
13
14
m
m
co
as
so
ut
a
ci
at
iv
15
e
tiv
e
e
4.
st
rib
ut
iv
3.
di
2.
id
associative
commutative
identity
distributive
1.
en
tit
y
25% 25% 25% 25%
16
17
18
19
20
11
How to use the Distributive Property to write an
expression as an equivalent expression…

Example: 3(7 + 4)
Step 1: Multiply the number outside the
parenthesis to each number inside the
parenthesis.
3 ∙ 7 + 3 ∙ 4 ----- This is your equivalent
expression, now evaluate.
Step 2: Add the two products.
21 + 12 = 33
12
Use the distribute property to write an equivalent
expression then evaluate.

(3 + 8)4

(11 + 3)8

7(8-6)
13
Use the distributive property to write 2(5 + 3) as
an equivalent expression then evaluate.
2(8); 16
2(5) + 2(3); 16
2(5) + 3; 13
(5 + 3)2; 16
1.
2.
3.
4.
25% 25% 25% 25%
2(
6
;1
8)
2(
1
2
3
4
5
6
7
8
9
10
21
22
23
24
25
26
27
28
29
30
11
12
13
14
5)
+
15
;1
3)
2(
...
2(
16
5
)+
3;
13
(5
17
+
2;
3)
18
16
19
20
14
Class Work
15