Exponents and Powers Class 7 Case Study Questions Maths Chapter 11

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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 of Case Study Questions for CBSE Class 7 Maths 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) 2²
(b) 2⁴
(c) 2⁶
(d) 2⁸

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 × 10⁸
(b) 6.55 × 10⁷
(c) 6.553 × 10⁶
(d) 6.5536 × 10⁵

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 × 10⁶ in standard form

Sol. 7.9 × 10⁶ = 7.9 × 1000000 = 7900000

Q. 5. Simplify: (–5)³ ÷ (–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
• Integers 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 × 2 × 2 × 2 × 2 = 2⁵; 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.

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