Last Updated on September 7, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 7 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 7 maths. In this article, you will find case study questions for CBSE Class 7 Maths Chapter 11 Exponents and Powers. It is a part ofÂ Case Study Questions for CBSE Class 7 MathsÂ Series.

Chapter | Exponents and Powers |

Type of Questions | Case Study Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 7 |

Subject | Maths |

Useful for | Class 7 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 7 Maths Chapterwise Case Study |

### Case Study Questions on Exponents and Powers

**Questions**

**Passage 1: **

Bacteria can divide every 15 minutes. So one bacterium can multiply to 2 in 30 minutes, 4 in 45 minutes and so on.

Q. 1. How many bacteria will be there in 4 hours.

(a) 65536

(b) 327680

(c) 131072

(d) 262144

Ans. Option (a) is correct.

Explanation: Bacteria multiplies every 15 minutes

So, it multiplies in every 4 hours $(4 \times 60) 240$ minutes

$$

=\frac{240}{15}=16 \text { times }

$$

So, number of bacteria in 4 hours

$$

\begin{aligned}

& =2^{16} \\

& =2 \times 2 \times 2….. \\

& =65536

\end{aligned}

$$

Q. 2. How many bacteria will be there in 1 hour?

(a) 2^{2}

(b) 2^{4}

(c) 2^{6}

(d) 2^{8}

Ans. Option (b) is correct.

Explanation: Bacteria multiplies every 15 minutes

So, it multiplies in 1 hour $(1 \times 60) 60$ minutes

$$

=\frac{60}{15}=4 \text { times }

$$

So, number of bacteria in 1 hour

$$

=2^4 \text { or } 16

$$

Q. 3. Write 655360000 in scientific notation.

(a) 6.5 Ã— 10^{8}

(b) 6.55 Ã— 10^{7}

(c) 6.553 Ã— 10^{6}

(d) 6.5536 Ã— 10^{5}

Ans. Option (a) is correct.

Explanation: First factor between 1 and 10 is 6.5 and second factor 10 is raised to the power 8 as decimal is shifted 8 places.

Q. 4. Write 7.9 Ã— 10^{6} in standard form

Sol. 7.9 Ã— 10^{6} = 7.9 Ã— 1000000 = 7900000

Q. 5. Simplify: (â€“5)^{3} Ã· (â€“5)^{6}

Sol.

$$

\begin{aligned}

(-5)^3 \div(-5)^6 & =(-5)^{3-6} \\

& =(-5)^{-3} \\

& =\left(\frac{1}{-5}\right)^3=\frac{-1}{125}

\end{aligned}

$$

### Also check

- Visualizing Solid Shapes Class 7 Case Study Questions Maths Chapter 13
- Symmetry Class 7 Case Study Questions Maths Chapter 12
- Exponents and Powers Class 7 Case Study Questions Maths Chapter 11
- Algebraic Expressions Class 7 Case Study Questions Maths Chapter 10
- Perimeter and Area Class 7 Case Study Questions Maths Chapter 9
- Rational Numbers Class 7 Case Study Questions Maths Chapter 8
- Comparing Quantities Class 7 Case Study Questions Maths Chapter 7
- Triangle and its Properties Class 7 Case Study Questions Maths Chapter 6
- Lines and Angles Class 7 Case Study Questions Maths Chapter 5
- Simple Equations Class 7 Case Study Questions Maths Chapter 4
- Data Handling Class 7 Case Study Questions Maths Chapter 3
- Fractions and Decimals Class 7 Case Study Questions Maths Chapter 2
- IntegersÂ Class 7 Case Study Questions Maths Chapter 1

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

- Exponents
- Laws of exponents
- Decimal number system
- Expressing large numbers in the standard form

A number multiplied by itself many numbers of times can be expressed in the exponential notation as 2 Ã— 2 Ã— 2 Ã— 2 Ã— 2 = 2^{5}; where 2 is the base and 5 is the exponent index or power

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

Exponents are also called Powers or Indices.

The exponent says how many times to use the number in a multiplication.

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

#### Q1: What are exponents?

A1: Exponents represent repeated multiplication of a base number.

#### Q2: What is the difference between base and exponent?

A2: In the expression a^{n}, a is the base, which is the number being multiplied, and n is the exponent, which indicates how many times the base is multiplied by itself.

#### Q3: What is a power?

A3: Power refers to the entire expression involving a base and an exponent.

#### Q4: What happens when an exponent is zero?

A4: Any non-zero number raised to the power of zero is equal to 1.

#### Q5: What is a negative exponent?

A5: A negative exponent represents the reciprocal of the base raised to the positive exponent.

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

A6: Large numbers can be expressed using exponents by converting them into powers of 10.

#### Q7: H**ow do you divide numbers with the same base using exponents?**

A7: When dividing numbers with the same base, subtract the exponents.

#### Q10: **Are there any online resources or tools available for practicing Exponents and Powers** **case study questions?**

A10: We provide case study questions for CBSE Class 7 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.