Ordering Rational Numbers Answers

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1
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Which number line correctly graphs the numbers in the list? –6, 4, –1, 0 , 5

A
A number line going from negative 6 to positive 6 in increments of 1. Points are at negative 6, negative 1, 0, 4, 5.
Option A
B
A number line going from negative 6 to positive 6 in increments of 1. Points are at negative 6, 0, 1, 4, 5.
Option B
C
A number line going from negative 2 to positive 10 in increments of 1. Points are at 0, 1, 4, 5, 6.
Option C
D
A number line going from negative 2 to positive 10 in increments of 1. Points are at negative 1, 0, 4, 5, 6.
Option D
2
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Sabric and Jessica disagree over an inequality statement. Sabric claims that –3.613 > –3.63. Jessica claims that –3.613 < –3.63. Which statement about each student’s claim is true?

A
Jessica is correct because –3.613 lies to the left of –3.63 on a number line.
B
Jessica is correct because –3.63 lies to the right of –3.613 on a number line.
C
Sabric is correct because –3.613 lies to the left of –3.63 on a number line.
D
Sabric is correct because –3.613 lies to the right of –3.63 on a number line.
3

Which list orders the numbers from least to greatest?

Question illustration
A
1.3, 1 and one-half, negative 2.5, negative 2 and two-thirds, 3
Option A
B
negative 2.5, negative 2 and two-thirds, 1.3, 1 and one-half, 3
Option B
C
Negative 2.5, negative 2 and two-thirds, 1 and one-half, 1.3, 3
Option C
D
Negative 2 and two-thirds, negative 2.5, 1.3, 1 and one-half, 3
Option D
4

Which list orders the numbers from least to greatest?

Question illustration
A
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Option A
B
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Option B
C
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Option C
D
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Option D
5

Which list orders –3, 2, 5, –1 from least to greatest?

A
–1, 2, –3, 5
B
–1, –3, 2, 5
C
–3, –1, 2, 5
D
5, 2, –1, –3
6

Which list orders the numbers from least to greatest?–2.6, 5.1, 0.8, –2.16, 0.58

A
0.58, 0.8, –2.16, –2.6, 5.1
B
–2.16, –2.6, 0.8, 0.58, 5.1
C
–2.16, –2.6, 0.58, 0.8, 5.1
D
–2.6, –2.16, 0.58, 0.8, 5.1
8

Maya is the manager for the track team. She created a table to compare finish times from the second practice to the first practice.100 m Dash Finish Time ComparisonRunnerSecond practice time compared to first practice timeJoshua+1.03Kedwin–0.97Leila–0.95Miguel+1.1Nicole–0.87Maya claims that the runners’ order of most improved to least improved is Miguel, Joshua, Nicole, Leila, and Kedwin. Which statement describes whether Maya is correct?

A
Maya is correct because she compared each digit in the same place value. Miguel added the most time to his sprint so he is most improved.
B
Maya is incorrect because –0.87 < –0.95 < –0.97. Runners that decrease times are improving, and those that add time are not improving.
C
Maya is incorrect because 1.1 < 1.03. She should switch the order of Joshua and Miguel because Joshua added more time to his run.
D
Maya is incorrect because she listed the runners from least improved to most improved. Runners that decreased times are improving, and those that add time are not improving.
9

Which list orders the numbers from least to greatest?–5, 1, 3, –2

Question illustration
A
1, –2, 3, –5
B
–2, –5, 1, 3
C
–5, –2, 1, 3
D
3, 1, –2, –5

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