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Math Problems
Grade 6
Properties of multiplication
Which equation shows the identity property of multiplication?
\newline
Choices:
\newline
(A)
w
⋅
y
=
u
⋅
v
w \cdot y = u \cdot v
w
⋅
y
=
u
⋅
v
\newline
(B)
0
⋅
u
=
0
0 \cdot u = 0
0
⋅
u
=
0
\newline
(C)
u
⋅
v
−
u
⋅
w
=
u
⋅
(
v
−
w
)
u \cdot v - u \cdot w = u \cdot (v - w)
u
⋅
v
−
u
⋅
w
=
u
⋅
(
v
−
w
)
\newline
(D)
u
=
1
⋅
u
u = 1 \cdot u
u
=
1
⋅
u
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Which property of multiplication is shown?
\newline
d
⋅
f
=
f
⋅
d
d \cdot f = f \cdot d
d
⋅
f
=
f
⋅
d
\newline
Choices:
\newline
(A) identity
\newline
(B) zero
\newline
(C) distributive
\newline
(D) commutative
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Which property of multiplication is shown?
\newline
d
⋅
f
=
f
⋅
d
d \cdot f = f \cdot d
d
⋅
f
=
f
⋅
d
\newline
Choices:
\newline
(A)commutative
\newline
(B)distributive
\newline
(C)associative
\newline
(D)identity
\newline
Get tutor help
Which equation shows the distributive property of multiplication?
\newline
Choices:
\newline
(A)
b
⋅
c
=
c
⋅
b
b \cdot c = c \cdot b
b
⋅
c
=
c
⋅
b
\newline
(B)
(
b
+
c
)
⋅
d
=
b
⋅
d
+
c
⋅
d
(b + c) \cdot d = b \cdot d + c \cdot d
(
b
+
c
)
⋅
d
=
b
⋅
d
+
c
⋅
d
\newline
(C)
b
⋅
1
=
b
b \cdot 1 = b
b
⋅
1
=
b
\newline
(D)
b
⋅
0
=
0
b \cdot 0 = 0
b
⋅
0
=
0
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Which equation shows the zero property of multiplication?
\newline
Choices:
\newline
(A)
a
⋅
b
=
c
a \cdot b = c
a
⋅
b
=
c
\newline
(B)
b
⋅
a
=
a
⋅
b
b \cdot a = a \cdot b
b
⋅
a
=
a
⋅
b
\newline
(C)
(
a
−
b
)
⋅
c
=
a
⋅
c
−
b
⋅
c
(a - b) \cdot c = a \cdot c - b \cdot c
(
a
−
b
)
⋅
c
=
a
⋅
c
−
b
⋅
c
\newline
(D)
a
⋅
0
=
0
a \cdot 0 = 0
a
⋅
0
=
0
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Which equation shows the commutative property of multiplication?
\newline
Choices:
\newline
(A)
q
=
m
⋅
n
⋅
p
q = m \cdot n \cdot p
q
=
m
⋅
n
⋅
p
\newline
(B)
m
⋅
n
+
m
⋅
p
=
m
⋅
(
n
+
p
)
m \cdot n + m \cdot p = m \cdot (n + p)
m
⋅
n
+
m
⋅
p
=
m
⋅
(
n
+
p
)
\newline
(C)
m
⋅
n
=
n
⋅
m
m \cdot n = n \cdot m
m
⋅
n
=
n
⋅
m
\newline
(D)
0
⋅
m
=
0
0 \cdot m = 0
0
⋅
m
=
0
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Which property of multiplication is shown?
\newline
q
⋅
p
=
p
⋅
q
q \cdot p = p \cdot q
q
⋅
p
=
p
⋅
q
\newline
Choices:
\newline
(A) identity
\newline
(B) commutative
\newline
(C) distributive
\newline
(D) zero
Get tutor help
Which property of multiplication is shown?
\newline
q
⋅
s
+
r
⋅
s
=
(
q
+
r
)
⋅
s
q \cdot s + r \cdot s = (q + r) \cdot s
q
⋅
s
+
r
⋅
s
=
(
q
+
r
)
⋅
s
\newline
Choices:
\newline
(A)zero
\newline
(B)associative
\newline
(C)distributive
\newline
(D)commutative
\newline
Get tutor help
Which property of multiplication is shown?
\newline
d
⋅
f
=
f
⋅
d
d \cdot f = f \cdot d
d
⋅
f
=
f
⋅
d
\newline
Choices:
\newline
(A) identity
\newline
(B) commutative
\newline
(C) zero
\newline
(D) distributive
Get tutor help
Which equation shows the distributive property of multiplication?
\newline
Choices:
\newline
(A)
c
⋅
d
⋅
f
=
g
c \cdot d \cdot f = g
c
⋅
d
⋅
f
=
g
\newline
(B)
c
⋅
(
d
⋅
f
)
=
(
c
⋅
d
)
⋅
f
c \cdot (d \cdot f) = (c \cdot d) \cdot f
c
⋅
(
d
⋅
f
)
=
(
c
⋅
d
)
⋅
f
\newline
(C)
0
=
c
⋅
0
0 = c \cdot 0
0
=
c
⋅
0
\newline
(D)
c
⋅
d
−
c
⋅
f
=
c
⋅
(
d
−
f
)
c \cdot d - c \cdot f = c \cdot (d - f)
c
⋅
d
−
c
⋅
f
=
c
⋅
(
d
−
f
)
Get tutor help
Which property of multiplication is shown?
\newline
(
q
−
r
)
⋅
s
=
q
⋅
s
−
r
⋅
s
(q - r) \cdot s = q \cdot s - r \cdot s
(
q
−
r
)
⋅
s
=
q
⋅
s
−
r
⋅
s
\newline
Choices:
\newline
(A)zero
\newline
(B)identity
\newline
(C)commutative
\newline
(D)distributive
Get tutor help
Which equation shows the zero property of multiplication?
\newline
Choices:
\newline
(A)
j
⋅
(
k
+
m
)
=
j
⋅
k
+
j
⋅
m
j \cdot (k + m) = j \cdot k + j \cdot m
j
⋅
(
k
+
m
)
=
j
⋅
k
+
j
⋅
m
\newline
(B)
k
⋅
j
=
j
⋅
k
k \cdot j = j \cdot k
k
⋅
j
=
j
⋅
k
\newline
(C)
(
j
⋅
k
)
⋅
m
=
j
⋅
(
k
⋅
m
)
(j \cdot k) \cdot m = j \cdot (k \cdot m)
(
j
⋅
k
)
⋅
m
=
j
⋅
(
k
⋅
m
)
\newline
(D)
0
=
0
⋅
j
0 = 0 \cdot j
0
=
0
⋅
j
Get tutor help
Which equation shows the commutative property of multiplication?
\newline
Choices:
\newline
(A)
k
⋅
1
=
k
k \cdot 1 = k
k
⋅
1
=
k
\newline
(B)
k
⋅
m
=
m
⋅
k
k \cdot m = m \cdot k
k
⋅
m
=
m
⋅
k
\newline
(C)
(
k
⋅
m
)
⋅
n
=
k
⋅
(
m
⋅
n
)
(k \cdot m) \cdot n = k \cdot (m \cdot n)
(
k
⋅
m
)
⋅
n
=
k
⋅
(
m
⋅
n
)
\newline
(D)
1
⋅
k
=
k
1 \cdot k = k
1
⋅
k
=
k
Get tutor help
Which equation shows the distributive property of multiplication?
\newline
Choices:
\newline
(A)
(
r
⋅
s
)
⋅
t
=
r
⋅
(
s
⋅
t
)
(r \cdot s) \cdot t = r \cdot (s \cdot t)
(
r
⋅
s
)
⋅
t
=
r
⋅
(
s
⋅
t
)
\newline
(B)
(
r
+
s
)
⋅
t
=
r
⋅
t
+
s
⋅
t
(r + s) \cdot t = r \cdot t + s \cdot t
(
r
+
s
)
⋅
t
=
r
⋅
t
+
s
⋅
t
\newline
(C)
r
⋅
s
=
s
⋅
r
r \cdot s = s \cdot r
r
⋅
s
=
s
⋅
r
\newline
(D)
0
=
r
⋅
0
0 = r \cdot 0
0
=
r
⋅
0
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Which property of multiplication is shown?
\newline
0
=
a
⋅
0
0 = a \cdot 0
0
=
a
⋅
0
Get tutor help
Which equation shows the zero property of multiplication?
\newline
Choices:
\newline
(A)
1
⋅
m
=
m
1 \cdot m = m
1
⋅
m
=
m
\newline
(B)
m
⋅
n
=
n
⋅
m
m \cdot n = n \cdot m
m
⋅
n
=
n
⋅
m
\newline
(C)
(
m
⋅
n
)
⋅
p
=
m
⋅
(
n
⋅
p
)
(m \cdot n) \cdot p = m \cdot (n \cdot p)
(
m
⋅
n
)
⋅
p
=
m
⋅
(
n
⋅
p
)
\newline
(D)
0
=
0
⋅
m
0 = 0 \cdot m
0
=
0
⋅
m
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Evaluate
\newline
78
+
5
+
9917
÷
100
78+5+9917\div100
78
+
5
+
9917
÷
100
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1
2
+
1
6
=
\frac{1}{2}+\frac{1}{6}=
2
1
+
6
1
=
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3
2
+
6
−
2
×
7
3^{2}+6-2 \times 7
3
2
+
6
−
2
×
7
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As a fraction in simplest terms, what would you multiply the first number by to get the second?
\newline
First number:
8
8
8
Second number:
60
60
60
\newline
8
⋅
□
=
60
8 \cdot \square=60
8
⋅
□
=
60
\newline
Submit Answer
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17000
=
5000
+
240
m
17000 = 5000 + 240m
17000
=
5000
+
240
m
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The volume of a right cone is
180
π
180 \pi
180
π
units
3
^{3}
3
. If its radius measures
6
6
6
units, find its height.
\newline
Answer: units
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Bilal is assembling a set of bunkbeds and wants to make sure the support posts are perpendicular to the floor. He measures that the posts are
165
165
165
centimeters
(
c
m
)
(\mathrm{cm})
(
cm
)
tall and
220
c
m
220 \mathrm{~cm}
220
cm
apart. How long should the diagonal measurement be, in
c
m
\mathrm{cm}
cm
, if the support posts are perpendicular to the floor?
\newline
Choose
1
1
1
answer:
\newline
(A)
75
75
75
\newline
(B)
130
130
130
\newline
(C)
275
275
275
\newline
(D)
385
385
385
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Which is equal to
cos
4
5
∘
\cos 45^\circ
cos
4
5
∘
?
\newline
Choices:
\newline
(A)
sin
4
5
∘
\sin 45^\circ
sin
4
5
∘
\newline
(B)
sin
5
5
∘
\sin 55^\circ
sin
5
5
∘
\newline
(C)
cos
5
5
∘
\cos 55^\circ
cos
5
5
∘
\newline
(D)
cos
3
5
∘
\cos 35^\circ
cos
3
5
∘
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Which is equal to
sin
3
0
∘
\sin 30^\circ
sin
3
0
∘
?
\newline
Choices:
\newline
(A)
cos
6
0
∘
\cos 60^\circ
cos
6
0
∘
\newline
(B)
cos
3
0
∘
\cos 30^\circ
cos
3
0
∘
\newline
(C)
sin
6
0
∘
\sin 60^\circ
sin
6
0
∘
\newline
(D)
sin
3
0
∘
\sin 30^\circ
sin
3
0
∘
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Which is equal to
cos
7
5
∘
\cos 75^\circ
cos
7
5
∘
?
\newline
Choices:
\newline
(A)
sin
1
5
∘
\sin 15^\circ
sin
1
5
∘
\newline
(B)
sin
7
5
∘
\sin 75^\circ
sin
7
5
∘
\newline
(C)
cos
1
5
∘
\cos 15^\circ
cos
1
5
∘
\newline
(D)
cos
2
5
∘
\cos 25^\circ
cos
2
5
∘
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Which is equal to
sin
4
5
∘
\sin 45^\circ
sin
4
5
∘
?
\newline
Choices:
\newline
(A)
cos
4
5
∘
\cos 45^\circ
cos
4
5
∘
\newline
(B)
cos
5
5
∘
\cos 55^\circ
cos
5
5
∘
\newline
(C)
sin
5
5
∘
\sin 55^\circ
sin
5
5
∘
\newline
(D)
sin
3
5
∘
\sin 35^\circ
sin
3
5
∘
Get tutor help
Which is equal to
cos
6
0
∘
\cos 60^\circ
cos
6
0
∘
?
\newline
Choices:
\newline
(A)
sin
3
0
∘
\sin 30^\circ
sin
3
0
∘
\newline
(B)
sin
6
0
∘
\sin 60^\circ
sin
6
0
∘
\newline
(C)
cos
3
0
∘
\cos 30^\circ
cos
3
0
∘
\newline
(D)
cos
6
0
∘
\cos 60^\circ
cos
6
0
∘
Get tutor help
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