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Let’s check out your problem:
Which decimal is equivalent to
5
9
\frac{5}{9}
9
5
?
\newline
Choices:
\newline
(A)
0.
5
‾
0.\overline{5}
0.
5
\newline
(B)
0.
18
‾
0.\overline{18}
0.
18
\newline
(C)
0.1
8
‾
0.1\overline{8}
0.1
8
\newline
(D)
0.
9
‾
0.\overline{9}
0.
9
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Math Problems
Grade 8
Checkpoint: Rational and irrational numbers
Full solution
Q.
Which decimal is equivalent to
5
9
\frac{5}{9}
9
5
?
\newline
Choices:
\newline
(A)
0.
5
‾
0.\overline{5}
0.
5
\newline
(B)
0.
18
‾
0.\overline{18}
0.
18
\newline
(C)
0.1
8
‾
0.1\overline{8}
0.1
8
\newline
(D)
0.
9
‾
0.\overline{9}
0.
9
Convert to decimal:
Step
1
1
1
: Convert the
fraction
5
9
\frac{5}{9}
9
5
into a decimal by dividing
5
5
5
by
9
9
9
.
Identify repeating sequence:
Step
2
2
2
: Identify the repeating sequence in the decimal.
Express as repeating decimal:
Step
3
3
3
: Express the repeating decimal using the notation for repeating decimals.
Match with choices:
Step
4
4
4
: Match the expression with the given choices.
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Solve for
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Which of the following sets of numbers could represent the three sides of a triangle?
\newline
{
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,
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,
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}
\{13,22,32\}
{
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,
22
,
32
}
\newline
{
11
,
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{
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36
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15
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Question
Which of the following sets of numbers could not represent the three sides of a triangle?
\newline
{
14
,
27
,
40
}
\{14,27,40\}
{
14
,
27
,
40
}
\newline
{
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,
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}
\{4,9,14\}
{
4
,
9
,
14
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\newline
{
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,
21
,
29
}
\{9,21,29\}
{
9
,
21
,
29
}
\newline
{
12
,
17
,
28
}
\{12,17,28\}
{
12
,
17
,
28
}
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Question
Which of the following sets of numbers could not represent the three sides of a triangle?
\newline
{
11
,
14
,
24
}
\{11,14,24\}
{
11
,
14
,
24
}
\newline
{
12
,
21
,
33
}
\{12,21,33\}
{
12
,
21
,
33
}
\newline
{
15
,
25
,
39
}
\{15,25,39\}
{
15
,
25
,
39
}
\newline
{
10
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22
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31
}
\{10,22,31\}
{
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22
,
31
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Question
Which of the following sets of numbers could not represent the three sides of a triangle?
\newline
{
9
,
19
,
27
}
\{9,19,27\}
{
9
,
19
,
27
}
\newline
{
6
,
20
,
27
}
\{6,20,27\}
{
6
,
20
,
27
}
\newline
{
14
,
19
,
32
}
\{14,19,32\}
{
14
,
19
,
32
}
\newline
{
9
,
18
,
25
}
\{9,18,25\}
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18
,
25
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Question
Which of the following sets of numbers could not represent the three sides of a triangle?
\newline
{
13
,
22
,
36
}
\{13,22,36\}
{
13
,
22
,
36
}
\newline
{
8
,
18
,
25
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\{8,18,25\}
{
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,
18
,
25
}
\newline
{
4
,
13
,
15
}
\{4,13,15\}
{
4
,
13
,
15
}
\newline
{
5
,
8
,
12
}
\{5,8,12\}
{
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,
8
,
12
}
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Posted 8 months ago
Question
Which of the following sets of numbers could represent the three sides of a triangle?
\newline
{
10
,
13
,
22
}
\{10,13,22\}
{
10
,
13
,
22
}
\newline
{
14
,
26
,
42
}
\{14,26,42\}
{
14
,
26
,
42
}
\newline
{
6
,
14
,
22
}
\{6,14,22\}
{
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14
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{
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,
18
,
34
}
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Question
Which of the following sets of numbers could represent the three sides of a triangle?
\newline
{
4
,
10
,
14
}
\{4,10,14\}
{
4
,
10
,
14
}
\newline
{
12
,
25
,
36
}
\{12,25,36\}
{
12
,
25
,
36
}
\newline
{
6
,
8
,
14
}
\{6,8,14\}
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,
8
,
14
}
\newline
{
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,
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}
\{15,30,46\}
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15
,
30
,
46
}
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Posted 9 months ago
Question
Which of the following sets of numbers could not represent the three sides of a triangle?
\newline
{
11
,
13
,
26
}
\{11,13,26\}
{
11
,
13
,
26
}
\newline
{
13
,
19
,
30
}
\{13,19,30\}
{
13
,
19
,
30
}
\newline
{
6
,
10
,
15
}
\{6,10,15\}
{
6
,
10
,
15
}
\newline
{
13
,
19
,
29
}
\{13,19,29\}
{
13
,
19
,
29
}
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Posted 9 months ago
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