Let's analyze each statement one by one and determine whether it is
True or
False. We will provide explanations for each answer.
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1) Zero is larger than every negative integer.
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Explanation: Negative integers are numbers less than zero (e.g., -1, -2, -3, etc.). Since zero is greater than any number less than zero, this statement is true.
-
Answer:
True
---
2) The smallest integer is zero.
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Explanation: Integers include both positive and negative numbers, as well as zero. There is no "smallest" integer because the set of negative integers extends infinitely in the negative direction (e.g., -1, -2, -3, ...). Therefore, zero is not the smallest integer.
-
Answer:
False
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3) Zero is not an integer.
-
Explanation: By definition, integers include all whole numbers, both positive and negative, as well as zero. Zero is definitely an integer.
-
Answer:
False
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4) The opposite of zero is zero.
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Explanation: The opposite (or additive inverse) of a number is the number that, when added to the original number, results in zero. For zero, adding zero to itself gives zero. Therefore, the opposite of zero is indeed zero.
-
Answer:
True
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5) The successor of -152 is -153.
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Explanation: The successor of a number is the number that comes immediately after it. For integers, the successor is obtained by adding 1. The successor of -152 is -152 + 1 = -151, not -153.
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Answer:
False
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6) The predecessor of -214 is -213.
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Explanation: The predecessor of a number is the number that comes immediately before it. For integers, the predecessor is obtained by subtracting 1. The predecessor of -214 is -214 - 1 = -215, not -213.
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Answer:
False
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7) -15 is greater than -10.
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Explanation: On the number line, numbers become smaller as you move to the left. Since -15 is further to the left than -10, -15 is less than -10, not greater.
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Answer:
False
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8) Every negative integer is less than every natural number.
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Explanation: Natural numbers are the set of positive integers starting from 1 (i.e., 1, 2, 3, ...). Negative integers are all numbers less than zero. Since all negative integers are less than zero and all natural numbers are greater than zero, every negative integer is indeed less than every natural number.
-
Answer:
True
---
Final Answers:
1. True
2. False
3. False
4. True
5. False
6. False
7. False
8. True
Boxed Answer:
\[
\boxed{\text{True, False, False, True, False, False, False, True}}
\]
Parent Tip: Review the logic above to help your child master the concept of fun integer worksheet.
