Last Updated on September 8, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 8 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 8 maths. In this article, you will find case study questions for CBSE Class 8 Maths Chapter 10 Exponents and Powers. It is a part of Case Study Questions for CBSE Class 8 Maths Series.

Chapter | Exponents and Powers |

Type of Questions | Case Study Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 8 |

Subject | Maths |

Useful for | Class 8 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 8 Maths Chapterwise Case Study |

### Case Study Questions on Exponents and Powers

**Questions**

**Passage 1: **

In a class science teacher give some information to all students about Solar system in following manner.

Distance of earth from sun = 149600000 km

Mass of earth = 5970000000000000000000000 kg

Mass of Mars = 642000000000000000000000000000 kg

Mass of sun = 1990000000000000000000000000000 kg

Mass of moon = 73500000000000000000000 kg

Now asked them to answer some question.

Q. 1. Write distance of earth from sun in standard form?

(a) 1.496Ã—10^{8} km

(b) 14.96Ã—10^{8} km

(c) 1.496Ã—10^{9} km

(d) 14.96Ã—10^{9} km

** Difficulty Level:** Medium

Ans. Option (a) is correct.

Explanation: In standard notation we write by

using power of 10 so 149600000 km

= 1.496 Ã— 10^{8} km

Q. 2. Write mass of sun in standard notation?

(a) 19.9 Ã— 10^{28} kg

(b) 1.99 Ã— 10^{28} kg

(c) 1.99 Ã— 10^{30} kg

(d) 19.9 Ã— 10^{30} kg

** Difficulty Level:** Medium

Ans. Option (c) is correct.

Q. 3. Mass of earth in standard notation:

(a) 5.97 Ã— 10^{24} kg

(b) 59.7 Ã— 10^{24} kg

(c) 5.97 Ã— 10^{26} kg

(d) 59.7 Ã— 10^{26} kg

** Difficulty Level:** Medium

Ans. Option (a) is correct.

Q. 4. Calculate the total mass of earth and moon.

** Difficulty Level:** Hard

Sol. Mass of earth = 5.97 Ã— 10^{24} kg

Mass of moon = 7.35 Ã— 10^{22} kg

Change mass of earth = 597.0 Ã— 10^{22} kg

Sum of mass of earth and moon

= 597.0 Ã— 10^{22} + 7.35 Ã— 10^{22}

= 604.35 Ã— 10^{22} kg

Q. 5. Calculate difference of mass of mars from mass of sun?

** Difficulty Level:** Hard

Sol. Mass of sun = 1.99 Ã— 10^{30} kg

Change mass of sun = 19.9 Ã— 10^{29} kg

Mass of mars = 6.42 Ã— 10^{29} kg

Difference between mass of sun and mass of mars

is 19.9 Ã— 1029 kg â€“ 6.42 Ã— 10^{29} kg

= 13.52 Ã— 10^{29} kg

Hence, difference between mass of sun and mars

=13.52Ã—10^{29} kg.

### Also check

- Direct and Inverse Proportions Class 8 Case Study Questions Maths Chapter 11
- Exponents and Powers Class 8 Case Study Questions Maths Chapter 10
- MensurationÂ Class 8 Case Study Questions Maths Chapter 9
- Algebraic Expressions and IdentitiesÂ Class 8 Case Study Questions Maths Chapter 8
- Comparing QuantitiesÂ Class 8 Case Study Questions Maths Chapter 7
- Cube and Cube RootsÂ Class 8 Case Study Questions Maths Chapter 6
- Square and Square RootsÂ Class 8 Case Study Questions Maths Chapter 5
- Data HandlingÂ Class 8 Case Study Questions Maths Chapter 4
- Understanding QuadrilateralsÂ Class 8 Case Study Questions Maths Chapter 3
- Linear Equations in One VariableÂ Class 8 Case Study Questions Maths Chapter 2
- Rational NumbersÂ Class 8 Case Study Questions Maths Chapter 1

### Download eBooks for CBSE Class 8 Maths

- Rational Numbers Topicwise Worksheet for CBSE Class 8 Maths
- Linear Equations in One Variable Worksheet for CBSE Class 8 Maths
- Understanding Quadrilaterals Worksheet for CBSE Class 8 Maths
- Data Handling Worksheet for CBSE Class 8 Maths
- Squares and Square Roots Worksheet for CBSE Class 8 Maths
- Cube and Cube Roots Worksheet for CBSE Class 8 Maths
- Comparing Quantities Worksheet for CBSE Class 8 Maths
- Algebraic Expressions and Identities Worksheet for CBSE Class 8 Maths

### Topics from which case study questions may be asked

- Use of Exponents to Express Small Numbers in Standard Form
- Comparing very large number and very small numbers
- Powers with negative Exponents
- Laws of Exponents

When any non-zero integer is multiplied repeatedly with itself, it is called exponential form of the given number.

a^{b}Here, a = base and b = exponent and we read it as ‘a’ raised to the power ‘b’.

Case study questions from the above given topic may be asked.

### Frequently Asked Questions (FAQs) on Exponents and Powers Case Study

#### Q1: What are the important topics covered in Chapter 10 Exponents and Powers for Class 8?

A1: The key topics include laws of exponents, simplifying expressions using exponents, powers with negative exponents, and expressing numbers in standard and exponential forms.

#### Q2: What is an exponent in mathematics?

A2: An exponent refers to the number of times a number, known as the base, is multiplied by itself. For example, in 2^{3}, 2 is the base and 3 is the exponent, meaning 2 Ã— 2 Ã— 2 = 8.

#### Q3: What are the laws of exponents?

A3: – Product law: $a^m \times a^n=a^{m+n}$

– Quotient law: $a^m \div a^n=a^{m-n}$

– Power of a power law: $\left(a^m\right)^n=a^{m \times n}$

– Zero exponent rule: $a^0=1$ (where $a \neq 0$ )

– Negative exponent rule: $a^{-m}=\frac{1}{a^m}$

#### Q4: How are negative exponents handled?

A4: Negative exponents represent reciprocals. For example, 2^{âˆ’3} = 1/8â€‹. So, when you have a negative exponent, you convert it into a fraction.

#### Q5: What is the power of zero?

A5: any non-zero number raised to the power of zero is always equal to 1.

#### Q6: **How do we express large numbers using exponents?**

A6: Large numbers are often written using exponents to make them more manageable. For example, 1 billion can be written as 10^{9}.

#### Q7: **Why do we use exponents in mathematics?**

A7: Exponents simplify the representation and calculation of large or small numbers. They are essential in scientific notation, which is widely used in scientific fields to manage very large or very small values.

#### Q8: **Are there any online resources or tools available for practicing Mensuration case study questions?**

A8: We provide case study questions for CBSE Class 8 Maths on ourÂ website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visitÂ Physics GurukulÂ website. they are having a large collection of case study questions for all classes.