The set of number Prep 1

Mathematics Quiz

Created by MR/Nasef.N

Natural Numbers, Counting Numbers, Integers, Absolute Value, and Comparing Integers

1. Which of the following sets represents natural numbers?

A) \(\{0, 1, 2, 3, \ldots\}\)

B) \(\{1, 2, 3, 4, \ldots\}\)

C) \(\{\ldots, -2, -1, 0, 1, 2, \ldots\}\)

D) \(\{0.5, 1, 1.5, 2, \ldots\}\)

2. What is the smallest natural number?

A) 0

B) 1

C) -1

D) There isn't one

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3. Which set includes all counting numbers and their negatives?

A) Natural numbers

B) Whole numbers

C) Integers

D) Rational numbers

4. The absolute value of \(-7\) is:

A) \(-7\)

B) \(7\)

C) \(0\)

D) Undefined

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5. Which statement is true about the number line?

A) Numbers increase as you move left

B) Zero is always at the far left

C) Numbers decrease as you move left

D) All numbers are positive

6. Which of these numbers is an integer but not a natural number?

A) 5

B) 0

C) -3

D) 1.5

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7. What is \(| -12 | + | 5 |\)?

A) \(-17\)

B) \(-7\)

C) \(7\)

D) \(17\)

8. Which symbol correctly completes the statement: \(-8 \_ -5\)?

A) \(>\)

B) \(<\)

C) \(=\)

D) \(\geq\)

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9. The set \(\{0, 1, 2, 3, \ldots\}\) represents:

A) Natural numbers

B) Whole numbers

C) Integers

D) Counting numbers

10. If \(a\) is a positive integer and \(b\) is a negative integer, which statement is always true?

A) \(a > b\)

B) \(a < b\)

C) \(|a| < |b|\)

D) \(a = b\)

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11. What is the result of \(| -3 | \times | 4 |\)?

A) \(-12\)

B) \(-7\)

C) \(7\)

D) \(12\)

12. Which number has the greatest absolute value?

A) \(-2\)

B) \(5\)

C) \(-8\)

D) \(0\)

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13. The opposite of \(7\) is:

A) \(-7\)

B) \(\frac{1}{7}\)

C) \(7\)

D) \(0\)

14. Which of these numbers is neither positive nor negative?

A) \(-1\)

B) \(1\)

C) \(0\)

D) \(0.5\)

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15. On a number line, where is \(-4\) located compared to \(2\)?

A) To the right

B) To the left

C) At the same position

D) It depends

16. What is the correct order from least to greatest: \(-3, 0, 2, -1, 1\)?

A) \(0, -1, 1, -3, 2\)

B) \(-3, -1, 0, 1, 2\)

C) \(2, 1, 0, -1, -3\)

D) \(-1, -3, 0, 1, 2\)

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17. Which expression represents the distance between \(-5\) and \(3\) on the number line?

A) \(| -5 | - | 3 |\)

B) \(| -5 + 3 |\)

C) \(| -5 | + | 3 |\)

D) \(| 3 - (-5) |\)

18. If \(x\) is an integer and \(|x| = 4\), what are the possible values of \(x\)?

A) \(4\) only

B) \(-4\) only

C) \(4\) and \(-4\)

D) \(0, 1, 2, 3, 4\)

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19. Which of these statements is false?

A) All natural numbers are integers

B) All integers are natural numbers

C) Zero is an integer

D) \(-1\) is an integer

20. What is the correct inequality for: "A number \(x\) is at least 3 units from zero"?

A) \(|x| \leq 3\)

B) \(|x| < 3\)

C) \(|x| \geq 3\)

D) \(|x| > 3\)