The Number System Quiz! Trivia

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| By David Morehead
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David Morehead
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Quizzes Created: 1 | Total Attempts: 392
| Attempts: 392 | Questions: 19
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1. Decimals, whole numbers, and natural numbers can ALL be rational numbers....if we CAN put them into a FRACTION!

Explanation

Decimals, whole numbers, and natural numbers can all be expressed as fractions. A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers. Since decimals, whole numbers, and natural numbers can all be written in fraction form, they can all be considered rational numbers. Therefore, the statement is true.

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About This Quiz
The Number System Quiz! Trivia - Quiz

Explore the fundamentals of number systems with 'The Number System Quiz! Trivia'. This quiz assesses understanding of rational, irrational, integers, and decimal classifications, enhancing numerical literacy and critical... see morethinking in mathematics. see less

2. The whole numbers are 0, 1, 2, 3, 

Explanation

The statement is true because the whole numbers include 0 and all positive integers. The numbers 0, 1, 2, and 3 are all whole numbers as they are non-negative integers. Therefore, the given statement is correct.

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3. Is zero a negative or a positive number?

Explanation

Hint: It goes in the middle of the number line!

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4. How do you say this number?  -6

Explanation

The correct answer is "negative 6" because the negative sign (-) in front of the number indicates that it is less than zero. In this case, the number is specifically -6, which means it is six units to the left of zero on the number line.

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5. Natural numbers greater than 0 are positive?

Explanation

Natural numbers are a set of numbers that start from 1 and go infinitely in a positive direction. Since they start from 1, which is a positive number, all natural numbers greater than 0 are positive. Therefore, the statement "Natural numbers greater than 0 are positive" is true.

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6. -4 is what type of number?

Explanation

The number -4 is an integer because it is a whole number that can be positive, negative, or zero. It is not a natural number because natural numbers are positive integers starting from 1. Similarly, it is not a whole number because whole numbers include all positive integers and zero, but not negative numbers. Therefore, the correct classification for -4 is an integer.

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7. Which integer has a lower value?

Explanation

Hint: Which is further away from 0?

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8. Which of the following are whole numbers?

Explanation

Whole numbers are a set of numbers that include all the positive integers (including zero) and their negatives. In this case, the numbers 0 and 4 are whole numbers because they are both positive integers and their negatives (-4) are also included in the set. However, 8.6 is not a whole number because it is a decimal and not an integer.

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9. What is the MOST SPECIFIC name for the numbers listed below: ...-2,-1,0,1,2...

Explanation

The most specific name for the given numbers is "integers." Integers are whole numbers that can be positive, negative, or zero, and they include the numbers -2, -1, 0, 1, and 2. The terms "integer," "integer number," "Integer," "INTEGER," and "INTEGERS" all refer to the same concept of these whole numbers.

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10. All Rational Numbers can be put into a _________________.

Explanation

All Rational Numbers can be put into a fraction because a rational number can be expressed as the ratio of two integers. In other words, it can be written in the form of a fraction, where the numerator and denominator are both integers. This allows us to represent rational numbers accurately and precisely.

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11. Which of the following are Real Numbers? 

Explanation

Natural numbers, integers, and whole numbers are all subsets of real numbers. Natural numbers are positive counting numbers, including zero. Integers are whole numbers and their negatives. Whole numbers are non-negative integers. Repeating decimals can also be represented as real numbers, as they can be expressed as a fraction or decimal. Therefore, all the options listed are real numbers.

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12. Match the following numbers(on the left) to a situation(on the right) when you would use the numbers.
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13. Match the following type of number with its proper description.
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14. 1.815 is a rational number because it has a _____________ decimal.

Explanation

The number 1.815 has a terminating decimal because the digits after the decimal point eventually end, and there are no repeating patterns. This means that the number can be expressed as a fraction in the form of p/q, where p and q are integers and q is not equal to zero.

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15. 7 is what type of number(s)?

Explanation

The number 7 is an integer because it is a whole number without any fractional or decimal part. It is also a whole number because it is not a fraction or a decimal. Additionally, 7 is a natural number because it is a positive whole number that is not a fraction or a decimal.

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16. Which of the following are integers?

Explanation

-3.2 is not an integer because it has a decimal part to it.
7/2 is not an integer because it is equation 3.5 which has a decimal part.

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17. 0 is what type of number(s)?

Explanation

0 is considered an integer because it is a whole number that can be expressed without a fractional or decimal component. It is also considered a whole number because it is not a fraction or a decimal. Therefore, the correct answer is Integer, Whole.

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18. 62.454545...(to infinity) is a rational number because it has a _________________ decimal.

Explanation

62.454545...(to infinity) is a rational number because it has a repeating decimal. In this case, the decimal part of the number, which is 454545...(to infinity), repeats indefinitely. A rational number can be expressed as a ratio of two integers, and since the repeating decimal can be written as a fraction (in this case, 62.45/99), it is considered a rational number.

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19. Match the type of number with the amount of numbers that are between -50 and 75
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Decimals, whole numbers, and natural numbers can ALL be rational...
The whole numbers are 0, 1, 2, 3, 
Is zero a negative or a positive number?
How do you say this number?  -6
Natural numbers greater than 0 are positive?
-4 is what type of number?
Which integer has a lower value?
Which of the following are whole numbers?
What is the MOST SPECIFIC name for the numbers listed below:...
All Rational Numbers can be put into a _________________.
Which of the following are Real Numbers? 
Match the following numbers(on the left) to a situation(on the right)...
Match the following type of number with its proper description.
1.815 is a rational number because it has a _____________ decimal.
7 is what type of number(s)?
Which of the following are integers?
0 is what type of number(s)?
62.454545...(to infinity) is a rational number because it has a...
Match the type of number with the amount of numbers that are between...
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