Integers QUIZ | teachernela - Free Printable

Here's the complete solution with explanations for each part of the worksheet.

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## I. Choose true or false

1. 0 is neutral meaning it has no sign.

✔ True
Explanation: Zero is neither positive nor negative. It is considered "neutral" because it doesn’t carry a + or – sign. On the number line, it’s the origin point separating positive and negative numbers.

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2. Positive numbers are found at the left of the number line.

✘ False
Explanation: On a standard horizontal number line, positive numbers are to the right of zero, and negative numbers are to the left. So this statement is incorrect.

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3. The higher the negative number is, its value gets smaller.

✔ True
Explanation: This refers to the *numerical value* (not magnitude). For example, -5 is “higher” than -10 numerically (because -5 > -10), but its actual value is *less negative*, so we say its value is “smaller” in the sense of being closer to zero. But wait — let’s clarify:

Actually, the phrasing is tricky. If “higher” means more positive (like -1 is higher than -5), then yes: as you go from -10 → -5 → -1, the numbers get “higher,” and their values increase (become less negative). But the statement says “its value gets smaller” — that’s incorrect if we interpret “value” as numerical value.

Let’s re-read:
> “The higher the negative number is, its value gets smaller.”

This is ambiguous, but mathematically:
- A “higher” negative number (e.g., -1 vs. -5) has a larger value (since -1 > -5).
- So saying “its value gets smaller” is false.

✔ Correction: FALSE

Final Answer: ✘ False
Explanation: As negative numbers become “higher” (closer to zero, like from -10 to -1), their actual value increases (becomes larger), not smaller. So the statement is false.

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4. The absolute value of a positive integer is equal to a negative integer.

✘ False
Explanation: Absolute value is always non-negative. The absolute value of any positive integer is itself (a positive integer). For example, |7| = 7, which is positive, not negative. So it cannot be equal to a negative integer.

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5. We can apply the concept of integers in reading temperatures.

✔ True
Explanation: Temperatures can be below zero (negative integers, e.g., -5°C) or above zero (positive integers, e.g., 20°C). So yes, integers are commonly used to represent temperatures.

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## ✔ Final Answers for Part I:
1. True
2. False
3. False *(corrected)*
4. False
5. True

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## II. Ordering Integers

A. Type each set of integers from least to greatest.

#### a) -12, 0, -15, 6, 12, 5
→ Order: -15, -12, 0, 5, 6, 12
Explanation: Smallest (most negative) to largest (most positive).

#### b) -24, 10, -29, -13, 26, 17
→ Order: -29, -24, -13, 10, 17, 26
Explanation: Start with most negative (-29), then move toward positive.

#### c) 5, -15, -25, 12, -9, 7
→ Order: -25, -15, -9, 5, 7, 12
Explanation: Negative numbers first (smallest to largest), then positives.

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B. Type each set of integers from greatest to least.

#### a) -2, 4, 9, -19, -9, 6
→ Order: 9, 6, 4, -2, -9, -19
Explanation: Largest positive first, then smallest (most negative) last.

#### b) -14, 19, 27, -21, 9, -8
→ Order: 27, 19, 9, -8, -14, -21
Explanation: Start with largest positive (27), end with most negative (-21).

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## ✔ Final Answers for Part II:

A. Least to Greatest:

a) -15, -12, 0, 5, 6, 12
b) -29, -24, -13, 10, 17, 26
c) -25, -15, -9, 5, 7, 12

B. Greatest to Least:

a) 9, 6, 4, -2, -9, -19
b) 27, 19, 9, -8, -14, -21

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✔ All done! Let me know if you’d like a printable version or visual number line help.