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Let’s check out your problem:
Put these numbers in order from greatest to least.
\newline
Order Items:
[
−
2
24
40
]
[
8
10
]
[
−
2
14
28
]
[-2 \frac{24}{40}][\frac{8}{10}][-2 \frac{14}{28}]
[
−
2
40
24
]
[
10
8
]
[
−
2
28
14
]
View step-by-step help
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Math Problems
Grade 7
Equal quotients of integers
Full solution
Q.
Put these numbers in order from greatest to least.
\newline
Order Items:
[
−
2
24
40
]
[
8
10
]
[
−
2
14
28
]
[-2 \frac{24}{40}][\frac{8}{10}][-2 \frac{14}{28}]
[
−
2
40
24
]
[
10
8
]
[
−
2
28
14
]
Convert to decimals:
Convert all numbers to decimals for easier comparison.
\newline
−
2
24
40
=
−
2
+
24
40
=
−
2
+
0.6
=
−
1.4
-2 \frac{24}{40} = -2 + \frac{24}{40} = -2 + 0.6 = -1.4
−
2
40
24
=
−
2
+
40
24
=
−
2
+
0.6
=
−
1.4
\newline
8
10
=
0.8
\frac{8}{10} = 0.8
10
8
=
0.8
\newline
−
2
14
28
=
−
2
+
14
28
=
−
2
+
0.5
=
−
1.5
-2 \frac{14}{28} = -2 + \frac{14}{28} = -2 + 0.5 = -1.5
−
2
28
14
=
−
2
+
28
14
=
−
2
+
0.5
=
−
1.5
Compare decimal values:
Compare the decimal values to determine the order from greatest to least.
\newline
Values:
−
1.4
-1.4
−
1.4
,
0.8
0.8
0.8
,
−
1.5
-1.5
−
1.5
\newline
Order:
0.8
0.8
0.8
,
−
1.4
-1.4
−
1.4
,
−
1.5
-1.5
−
1.5
Convert back to original format:
Convert decimals back to the original format for the final answer.
\newline
0.8
=
8
10
0.8 = \frac{8}{10}
0.8
=
10
8
\newline
−
1.4
=
−
2
24
40
-1.4 = -2 \frac{24}{40}
−
1.4
=
−
2
40
24
\newline
−
1.5
=
−
2
14
28
-1.5 = -2 \frac{14}{28}
−
1.5
=
−
2
28
14
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