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Math Problems
Grade 6
Powers with decimal bases
Evaluate:
(
3
+
2
)
2
−
7
=
(3+2)^2-7 =
(
3
+
2
)
2
−
7
=
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Which sign makes the statement true?
\newline
−
3
4
?
−
0.25
-\frac{3}{4} ? -0.25
−
4
3
?
−
0.25
\newline
Choices:
\newline
(A)
=
=
=
\newline
(B)
≠
\neq
=
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Which sign makes the statement true?
\newline
0.3
0.3
0.3
?
1
3
\frac{1}{3}
3
1
\newline
Choices:
\newline
(A)
=
=
=
\newline
(B)
≠
\neq
=
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.05
)
2
=
(0.05)^2 =
(
0.05
)
2
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.5
)
2
=
(0.5)^2 =
(
0.5
)
2
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.08
)
2
=
(0.08)^2 =
(
0.08
)
2
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.6
)
3
=
(0.6)^3 =
(
0.6
)
3
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.04
)
3
=
(0.04)^3 =
(
0.04
)
3
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.7
)
3
=
(0.7)^3 =
(
0.7
)
3
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.06
)
3
=
(0.06)^3 =
(
0.06
)
3
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.06
)
2
=
(0.06)^2 =
(
0.06
)
2
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.4
)
3
=
(0.4)^3 =
(
0.4
)
3
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.9
)
2
=
(0.9)^2 =
(
0.9
)
2
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.5
)
3
=
(0.5)^3 =
(
0.5
)
3
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.07
)
2
=
(0.07)^2 =
(
0.07
)
2
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.08
)
3
=
(0.08)^3 =
(
0.08
)
3
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.8
)
3
=
(0.8)^3 =
(
0.8
)
3
=
_____
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.05
)
3
=
(0.05)^3 =
(
0.05
)
3
=
_____
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(
3
+
4
)
×
6
=
(3+4) \times 6=
(
3
+
4
)
×
6
=
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(
2
2
3
×
5
8
÷
1
1
4
)
3
=
\left(2 \frac{2}{3} \times \frac{5}{8} \div 1 \frac{1}{4}\right)^{3}=
(
2
3
2
×
8
5
÷
1
4
1
)
3
=
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Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.3
)
2
=
(0.3)^2 =
(
0.3
)
2
=
_____
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Evaluate. Write your answer as a fraction or whole number.
\newline
(
1
4
)
4
=
(\frac{1}{4})^4 =
(
4
1
)
4
=
_____
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Evaluate. Write your answer as a fraction or whole number.
\newline
(
2
3
)
3
(\frac{2}{3})^3
(
3
2
)
3
= _____
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(
0.7
)
2
+
2.8
(
5.5
)
=
(0.7)^{2}+2.8(5.5)=
(
0.7
)
2
+
2.8
(
5.5
)
=
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If
f
(
x
)
=
2
5
x
+
19
f(x)=2^{5 x}+19
f
(
x
)
=
2
5
x
+
19
, what is the value of
f
(
−
1
)
f(-1)
f
(
−
1
)
, to the nearest tenth (if necessary)?
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
6
,
2
,
2
3
,
…
6,2, \frac{2}{3}, \ldots
6
,
2
,
3
2
,
…
\newline
Find the
6
6
6
th term.
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
11
,
15
,
19
,
…
11,15,19, \ldots
11
,
15
,
19
,
…
\newline
Find the
33
33
33
rd term.
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
10
,
14
,
18
,
…
10,14,18, \ldots
10
,
14
,
18
,
…
\newline
Find the
47
47
47
th term.
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
14
,
28
,
56
,
…
14,28,56, \ldots
14
,
28
,
56
,
…
\newline
Find the
6
6
6
th term.
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
12
,
24
,
48
,
…
12,24,48, \ldots
12
,
24
,
48
,
…
\newline
Find the
7
7
7
th term.
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
2
,
10
,
50
,
…
2,10,50, \ldots
2
,
10
,
50
,
…
\newline
Find the
8
8
8
th term.
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
4
,
11
,
18
,
…
4,11,18, \ldots
4
,
11
,
18
,
…
\newline
Find the
42
42
42
nd term.
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
150
,
120
,
96
,
…
150,120,96, \ldots
150
,
120
,
96
,
…
\newline
Find the
6
6
6
th term.
\newline
Answer:
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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).
\newline
9
,
6
,
4
,
…
9,6,4, \ldots
9
,
6
,
4
,
…
\newline
Find the
6
6
6
th term.
\newline
Answer:
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Solve for
x
x
x
.
\newline
2.8
=
x
0.3
+
1.8
2.8=\frac{x}{0.3}+1.8
2.8
=
0.3
x
+
1.8
\newline
Answer:
x
=
x=
x
=
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Use multiplication to expand the expression below. Then compute.
\newline
(
−
6
)
3
(-6)^{3}
(
−
6
)
3
\newline
Press the
×
\times
×
button or type the * symbol on your keyboard to represent multiplication.
\newline
Expanded form:
\newline
Answer:
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Use multiplication to expand the expression below. Then compute.
\newline
(
−
2
)
2
(-2)^{2}
(
−
2
)
2
\newline
Press the
×
\times
×
button or type the * symbol on your keyboard to represent multiplication.
\newline
Expanded form:
\newline
Answer:
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Use multiplication to expand the expression below. Then compute.
\newline
(
−
3
)
3
(-3)^{3}
(
−
3
)
3
\newline
Press the
×
\times
×
button or type the * symbol on your keyboard to represent multiplication.
\newline
Expanded form:
\newline
Answer:
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Use multiplication to expand the expression below. Then compute.
\newline
(
−
2
)
4
(-2)^{4}
(
−
2
)
4
\newline
Press the
×
\times
×
button or type the * symbol on your keyboard to represent multiplication.
\newline
Expanded form:
\newline
Answer:
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