6th Grade Ordering Rational Numbers and Absolute Value Test Solutions and Scoring (PDF)

6th Grade math test solutions: Ordering Rational Numbers and Absolute Value – Maths PDF

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This compare absolute value test answers for 6th Grade covers ordering rational numbers and absolute value (Common Core 6.NS.C.7a, 6.NS.C.7b, 6.NS.C.7c, 6.NS.C.7d), with a free PDF to print.

Use this key to score the test out of 20 points. Each solution is fully worked, and the scoring line explains how to award each point and partial credit for correct reasoning.

Grade 6 · Common Core State Standards: 6.NS.C.7a, 6.NS.C.7b, 6.NS.C.7c, 6.NS.C.7d

Compare absolute value test answers: worked solutions

Question 1 – Compare [2 pts]

(a) \(-6 > -9\).

(b) \(-0.4 < -0.04\).

Scoring: 1 point for each comparison.

Question 2 – Order [2 pts]

\(-2, -0.5, 0, 1.5\).

Least to greatest from left to right.

Scoring: 2 points for the correct order; 1 point if exactly one number is out of place.

Question 3 – Absolute value [2 pts]

(a) 12. (b) 7.5.

Scoring: 1 point for each value.

Question 4 – Temperature [2 pts]

\(-7 < -2\).

Anchorage is colder.

Scoring: 1 point for the inequality; 1 point for the city.

Question 5 – Elevation [2 pts]

\(10 > -280\), so the beach is higher.

\(|-280| = 280 > 10 = |10|\), so the valley has the greater absolute value.

Distance from 0 is the absolute value.

Scoring: 1 point for each correct answer with a reason.

Question 6 – Debt [2 pts]

Aisha: \(-15\); Jamal: \(-40\).

\(-40 < -15\).

Jamal owes more.

Scoring: 1 point for the integers; 1 point for the inequality and conclusion.

Question 7 – Equal distance [2 pts]

\(4.5\) and \(-4.5\). They are opposites and are the same distance from 0.

Scoring: 1 point for both numbers; 1 point for the explanation.

Question 8 – Order with absolute values [3 pts]

Values: 6, \(-2\), 3, \(-1\).

Order: \(-2, -1, 3, 6\), which is \(-2, -|1|, |3|, |-6|\).

Scoring: 1 point for evaluating each; 1 point for the order; 1 point for writing the original expressions in order.

Question 9 – Rank the scores [3 pts]

(a) \(-7, -4, -1, 1\): Ethan, Noah, Mei, Sofia.

(b) \(|-7| = 7\), so Ethan.

Scoring: 1 point for each part.

Total score

Total

20 points

Key facts behind this compare absolute value test answers

Key facts

Numbers increase from left to right on a number line.
Every positive number is greater than every negative number.
Among negatives, the one closer to 0 is greater.
Absolute value is the distance from 0, so it is never negative.
A number can be less than another and still have the greater absolute value.

How to use this compare absolute value test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

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