What is a rational number?

A number that can be written as a fraction

A number that cannot be written as a fraction

An infinite, non-recurring decimal.

Explain why a mixed number is a rational number?

Because it can be expressed as an improper fraction.

Because it can be expressed as a decimal.

Because it is a recurring decimal.

Real Numbers Quiz Questions And Answers

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Quizzes Created: 2 | Total Attempts: 10,477

Questions: 10 | Attempts: 8,009 | Updated: Dec 11, 2024

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Do you know anything about real numbers in mathematics? Do you think you can pass this quiz based on a real number system? Real numbers include both rational and irrational numbers. All rational numbers, including integers, fractions, and decimal numbers, come under real numbers. Here, in this quiz, you'll have to solve questions based on a real number system. Do you think you can do so? Take this quiz and see if your knowledge of real numbers adds up.

Questions and Answers

1.

What is a rational number?
- A.
  
  A number that cannot be written as a fraction
- B.
  
  A number that can be written as a fraction
- C.
  
  An infinite, non-recurring decimal.
- D.
  
  A surd
Correct Answer
B. A number that can be written as a fraction
2.

Which of the following numbers is a surd?
- A.
- B.
- C.
- D.
- E.
- F.
Correct Answer
D.
3.

Which of the following sets represents the set of NATURAL NUMBERS?
- A.
  
  {..., -3,-2,-1,0,1,2,3 ...}
- B.
  
  {0,1,2,3,4,5, ...... }
- C.
  
  { 1,2,3,4,5,...}
- D.
  
  {2,4,6,8,10,...}
- E.
  
  {1.3.5.7,9, ...}
Correct Answer
C. { 1,2,3,4,5,...}
4.

Which number is written in decimal?
- A.
  
  1300
- B.
  
  130
- C.
  
  0.13
- D.
  
  113
- E.
  
  13
Correct Answer
C. 0.13

Explanation
The correct answer is 0.13

Rate this question:

5
3
5.

What is 53600000 written in scientific notation?
- A.
  
  5.36 * 10^6
- B.
  
  53.6* 10^6
- C.
  
  5.36* 10^7
- D.
  
  5.36* 10^8
Correct Answer
C. 5.36* 10^7

Explanation
53600000 written in scientific notation is 5.36 x 10^7. In scientific notation, a number is expressed as a product of a decimal number between 1 and 10 and a power of 10. In this case, 53600000 can be written as 5.36 multiplied by 10 raised to the power of 7. This notation is commonly used to represent very large or very small numbers in a concise and standardized format.

Rate this question:

3
0
6.

How many significant figures are there in the number: 1234000?
- A.
  
  1
- B.
  
  2
- C.
  
  3
- D.
  
  4
- E.
  
  7
Correct Answer
D. 4
7.

Simplify:
- A.
- B.
- C.
- D.
- E.
Correct Answer
B.
8.

Simplify
- A.
- B.
- C.
- D.
- E.
Correct Answer
A.
9.

Explain why a mixed number is a rational number?
- A.
  
  Because it is not a decimal.
- B.
  
  Because it can be expressed as a decimal.
- C.
  
  Because it can be expressed as an improper fraction.
- D.
  
  Because it is a recurring decimal.
- E.
  
  Because it is not an integer.
Correct Answer
C. Because it can be expressed as an improper fraction.

Explanation
A mixed number can be expressed as an improper fraction by converting the whole number part into a fraction and adding it to the fractional part. An improper fraction is a rational number because it can be represented as the ratio of two integers, where the numerator and denominator are both integers. Therefore, since a mixed number can be expressed as an improper fraction, it is also a rational number.

Rate this question:

9
0
10.

Simplify:
- A.
- B.
- C.
- D.
- E.
Correct Answer
D.