Integers Opposites Absolute Value Test Answer Key with Scoring – Grade 6

Question 1 Signed numbers in context (2 points)

(a) −85 (below sea level). (b) +120 (money earned).

Scoring: 1 point per part.

Question 2 Opposites and absolute value (2 points)

(a) 17. (b) −23 is 23 units from 0, so |−23| = 23.

Scoring: 1 point per part.

Question 3 Reading points (2 points)

(a) A = −4 and D = −1.5. (b) A is 4 left of 0 and C is 4 right, so A and C.

Scoring: 1 point per part.

Question 4 Comparing numbers (2 points)

(a) −8 is left of −3: −8 < −3. (b) |−6| = 6 and 6 > −6: |−6| > −6.

Scoring: 1 point per part.

Question 5 Ordering rational numbers (2 points)

As decimals: −1.5, 0.4, −1.2, 0.25. Left to right: −32, −1.2, 14, 0.4.

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

Question 6 Overnight lows (3 points)

(a) The least number is −17: Fargo.

(b) Greatest to least: 3, −9, −14, −17: Denver, Bozeman, Duluth, Fargo.

(c) |−17| = 17 is the largest distance from 0, so Fargo. Its value is far below zero, so it is the coldest, not the warmest.

Scoring: 1 point per part.

Question 7 Checking a claim (3 points)

(a) No. On a number line −9 lies to the left of −4, and left means less.

(b) −9 < −4.

(c) |−9| = 9 and |−4| = 4, so −9.

Scoring: 1 point per part.

Question 8 Above and below sea level (3 points)

(a) Shipwreck, kelp bed, lighthouse, cliff (−120, −30, 85, 200).

(b) Distances: 120, 30, 85, 200. The smallest is 30: kelp bed.

(c) The largest is 200: cliff.

Scoring: 1 point per part.

Question 9 Negative but greater (1 point)

Any negative number to the right of −3 works, such as −2, −1 or −0.5.

Scoring: 1 point for a valid number between −3 and 0.