Real Numbers Quiz Questions And Answers

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Janaisa Harris, BA (Mathematics) |
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Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher.
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Quizzes Created: 2 | Total Attempts: 10,845
| Attempts: 8,185 | Questions: 10 | Updated: Oct 11, 2025
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Question 1 / 10
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1) Which of the following sets represents the set of NATURAL NUMBERS?

Explanation

bold italic T bold italic h bold italic e bold space bold italic N bold italic a bold italic t bold italic u bold italic r bold italic a bold italic l bold space bold italic N bold italic u bold italic m bold italic b bold italic e bold italic r bold italic s bold space bold italic a bold italic r bold italic e bold space bold italic a bold italic l bold italic l bold space bold italic t bold italic h bold italic e bold space bold italic p bold italic o bold italic s bold italic i bold italic t bold italic i bold italic v bold italic e bold space bold italic w bold italic h bold italic o bold italic l bold italic e bold space bold italic n bold italic u bold italic m bold italic b bold italic e bold italic r bold italic s
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About This Quiz
Real Numbers Quiz Questions And Answers - Quiz

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... see moreto 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. see less

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2) Simplify fraction numerator square root of 40 over denominator square root of 8 end fraction

Explanation

fraction numerator square root of bold 40 over denominator square root of bold 8 end fraction bold equals square root of bold 40 over bold 8 end root bold equals square root of bold 5
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3) What is a rational number?

Explanation

bold italic A bold space bold italic r bold italic a bold italic t bold italic i bold italic o bold italic n bold italic a bold italic l bold space bold italic n bold italic u bold italic m bold italic b bold italic e bold italic r bold space bold italic i bold italic s bold space bold italic a bold space bold italic n bold italic u bold italic m bold italic b bold italic e bold italic r bold space bold italic t bold italic h bold italic a bold italic t bold space bold italic c bold italic a bold italic n bold space bold italic b bold italic e bold space bold italic w bold italic r bold italic i bold italic t bold italic t bold italic e bold italic n bold space bold italic a bold italic s bold space bold italic a bold space bold italic f bold italic r bold italic a bold italic c bold italic t bold italic i bold italic o bold italic n
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4) Simplify: 5 square root of 12

Explanation

bold 5 square root of bold 12 bold space bold equals bold 5 bold space bold cross times square root of bold 4 square root of bold 3bold equals bold 5 bold cross times bold 2 square root of bold 3bold equals bold 10 square root of bold 3
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5) How many significant figures are there in the number: 1234000?

Explanation

begin mathsize 20px style 1234000 space c a n space b e space w r i t t e n space i n space s c i e n t i f i c space n o t a t i o n space a s colon1.234 space cross times space 10 to the power of 6.bold italic S bold italic i bold italic n bold italic c bold italic e bold space bold italic t bold italic h bold italic e bold space bold italic n bold italic u bold italic m bold italic b bold italic e bold italic r bold space bold italic b bold italic e bold italic t bold italic w bold italic e bold italic e bold italic n bold space bold 1 bold space bold italic a bold italic n bold italic d bold space bold 10 bold space bold italic a bold italic t bold space bold italic t bold italic h bold italic e bold space bold italic s bold italic t bold italic a bold italic r bold italic t bold space bold italic h bold italic a bold italic s bold space bold 4 bold space bold italic f bold italic i bold italic g bold italic u bold italic r bold italic e bold italic s bold comma bold space bold italic t bold italic h bold italic i bold italic s bold space bold italic i bold italic s bold space bold italic t bold italic h bold italic e bold space bold italic n bold italic u bold italic m bold italic b bold italic e bold italic r bold spacebold italic o bold italic f bold space bold italic s bold italic i bold italic g bold italic n bold italic i bold italic f bold italic i bold italic c bold italic a bold italic n bold italic t bold space bold italic f bold italic i bold italic g bold italic u bold italic r bold italic e bold italic s bold space bold italic i bold italic n bold space bold italic o bold italic u bold italic r bold space bold italic n bold italic u bold italic m bold italic b bold italic e bold italic r bold. bold space end style
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6) Explain why a mixed number 1 4 over 5is a rational number?

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.

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7) Which number is written in decimal?

Explanation

The correct answer is 0.13 

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8) What is 53600000  written in scientific notation?

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.

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9) Simplify: 6 square root of 5 space plus 3 square root of 20

Explanation

bold 6 square root of bold 5 bold space bold plus bold 3 square root of bold 20bold equals bold 6 square root of bold 5 bold plus bold 3 square root of bold 4 square root of bold 5bold equals bold 6 square root of bold 5 bold plus bold 6 square root of bold 5bold equals bold 12 square root of bold 5
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10) Which of the following numbers is a surd?

Explanation

root index bold 3 of bold 64 bold space bold equals bold space bold 4 bold space bold italic s bold italic i bold italic n bold italic c bold italic e bold space bold 4 bold cross times bold 4 bold cross times bold 4 bold equals bold 64square root of bold 121 bold space bold equals bold space bold 11fraction numerator square root of bold 25 over denominator bold 7 end fraction bold equals bold 5 over bold 7 bold space bold italic w bold italic h bold italic i bold italic c bold italic h bold space bold italic i bold italic s bold space bold italic a bold space bold italic f bold italic r bold italic a bold italic c bold italic t bold italic i bold italic o bold italic nbold 1 bold. bold 626262 bold. bold. bold. bold space bold italic i bold italic s bold space bold italic a bold space bold italic r bold italic e bold italic c bold italic u bold italic r bold italic r bold italic i bold italic n bold italic g bold space bold italic d bold italic e bold italic c bold italic i bold italic m bold italic a bold italic l bold comma bold space bold italic w bold italic h bold italic i bold italic c bold italic h bold space bold italic i bold italic s bold space bold italic a bold space bold italic r bold italic a bold italic t bold italic i bold italic o bold italic n bold italic a bold italic l bold space bold italic n bold italic u bold italic m bold italic b bold italic e bold italic r
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Janaisa Harris |BA (Mathematics) |
High School Math Teacher
Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher.
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Which of the following sets represents the set of NATURAL NUMBERS?
Simplify 
What is a rational number?
Simplify: 
How many significant figures are there in the number: 1234000?
Explain why a mixed number is a rational number?
Which number is written in decimal?
What is 53600000  written in scientific notation?
Simplify: 
Which of the following numbers is a surd?
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