Real Numbers Quiz Questions And Answers

1. Which of the following sets represents the set of NATURAL NUMBERS?

{..., -3,-2,-1,0,1,2,3 ...}

{0,1,2,3,4,5, ...... }

{ 1,2,3,4,5,...}

{2,4,6,8,10,...}

{1.3.5.7,9, ...}

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

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

2. Simplify

fraction numerator square root of 40 over denominator square root of 8 end fraction

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

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

3. What is a rational number?

A number that cannot be written as a fraction

A number that can be written as a fraction

An infinite, non-recurring decimal.

A surd

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

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

4. Simplify:

5 square root of 12

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

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

5. How many significant figures are there in the number: 1234000?

1

2

3

4

7

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

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

6. Explain why a mixed number

1 4 over 5

is a rational number?

Because it is not a decimal.

Because it can be expressed as a decimal.

Because it can be expressed as an improper fraction.

Because it is a recurring decimal.

Because it is not an integer.

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.

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.

7. Which number is written in decimal?

1300

130

0.13

113

13

The correct answer is 0.13

Explanation

The correct answer is 0.13

8. What is 53600000 written in scientific notation?

5.36 * 10^6

53.6* 10^6

5.36* 10^7

5.36* 10^8

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.

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.