ANSWER KEYS - Teacher Use Only

Negative Numbers | Grade 6

Student Concept Worksheet Answers
1
-7
The opposite of 7 is -7 (same distance from zero, opposite side)
2
12
The opposite of -12 is 12
3
9
|-9| = 9 (distance from zero is 9)
4
15
|15| = 15 (distance from zero is 15)
5
<
-6 < -2 (negative 6 is less than negative 2; -6 is farther left)
6
<
-4 < 1 (all negative numbers are less than positive numbers)
7
-5, -2, 0, 3, 4
From least to greatest: most negative first, then zero, then positive
Practice Worksheet Answers

Part A: Plotting on Number Lines

1-2. Students should place dots at the correct positions on the number lines.

Part B: Absolute Value

# Problem Answer Explanation
3|-8|88 units from zero
4|12|1212 units from zero
5|-15|1515 units from zero
6|0|00 units from zero
7|-1|11 unit from zero
8|25|2525 units from zero

Part C: Comparing Integers

# Comparison Answer Explanation
9-5 ___ -2<-5 is to the left of -2
10-7 ___ 3<Negative < Positive
110 ___ -4>0 is greater than any negative
12-10 ___ -10=Same number
13|-6| ___ |4|>6 > 4
14|-3| ___ |3|=3 = 3

Part D: Ordering Integers

15
-6, -3, 0, 2, 4
16
-8, -5, -1, 3, 5
17
7, 0, -2, -4, -9
Greatest to least (reversed order)

Part E: Real-World Problems

18
8 degrees is warmer
8 > -5 because 8 is to the right of -5 on the number line (positive is warmer than negative)
19
The diver at -50 feet is closer to the surface
-50 > -200, so -50 feet is closer to sea level (0)
20
Jake has more money by $25
Jake has $10, Sarah has -$15. Difference: 10 - (-15) = 10 + 15 = $25
21
Minneapolis, Chicago, Denver, Miami
-18, -12, -4, 68 (coldest to warmest)

Challenge Questions:

#22: FALSE. It depends on the numbers. |-3| = 3, which is NOT greater than |10| = 10. The absolute value depends on how far from zero, not whether it's positive or negative.

#23: 8 and -8. These are opposites, each 8 units from zero, so they are 16 units apart (8 + 8 = 16).

FAST Practice Quiz Answers
1
B) -7, -3, 0, 2, 5
Least to greatest: most negative first, then zero, then positive numbers in order.
2
B) 14
|-14| = 14. Absolute value is always positive (distance from zero).
3
C) 5 degrees is 13 degrees warmer than -8 degrees
From -8 to 5 is 13 degrees (8 + 5 = 13). A is false (5 is warmer). B is false (5 is above zero). D is false (|-8| = 8, which is greater than 5).
4
Select: "-5 is greater than -9", "The opposite of -6 is 6", and "0 is greater than all negative numbers"
-5 > -9: TRUE (farther right on number line)
Opposite of -6 is 6: TRUE
|-7| = -7: FALSE (|-7| = 7, always positive)
0 > all negatives: TRUE
-12 > -4: FALSE (-12 < -4)
5
B) The snorkeler is closer to sea level because -12 > -45
-12 is closer to 0 than -45. The snorkeler at -12 feet is closer to the surface (sea level = 0).
6
B) |-10| > |8|
|-10| = 10 and |8| = 8. Since 10 > 8, the answer is B.
FAST Quiz Scoring Guide
Score Interpretation Recommended Action
6/6 Mastery Ready for operations with integers. Introduce adding and subtracting integers.
4-5/6 Approaching Mastery Review the specific concept missed. Focus on absolute value if that was the issue, or on comparing negatives.
2-3/6 Developing Reteach using number line visuals. Use thermometer or elevator examples for real-world context.
0-1/6 Needs Intervention Small group instruction with hands-on number lines. Start with understanding zero as the middle point.
FAST Success Kit | Grade 6 | FL B.E.S.T. Standards: MA.6.NSO.1.1, MA.6.NSO.1.2, MA.6.NSO.1.3 | Answer Key - Teacher Use Only