Important Questions for Class 7 Maths Chapter 11 With Answers

Important Questions for Class 7 Maths Chapter 11: These important questions from CBSE Class 7 Maths Chapter 11 Exponents and Powers are highly helpful for students as they focus on core concepts and problem-solving techniques.

Important Questions for Class 7 Maths Chapter 11 Overview

• Laws of Exponents : Understanding how to multiply and divide powers with the same base, raising a power to a power, and dealing with numbers raised to zero or negative exponents.
• Standard Form : Learning to express very large or very small numbers in standard form for easier computation and comparison.

Important Questions for Class 7 Maths Chapter 11 PDF

Important Questions for Class 7 Maths Chapter 11 PDF

Question 4. Find the value of:

Solution:

Question 5. Express the following in exponential form:

Solution:

Solution:

Question 7. Simplify the following and write in exponential form:

Solution:

• 2 × 10 3

• 7 2 × 2 2

• 2 3 × 5

• 3 × 4 4

• 0 × 10 2

• 5 2 × 3 3

• 2 4 × 3 2

• 3 2 × 10 4

Solution:

1. 2 × 103 can be written as 2 × 10 × 10 × 10 = 2 × 1000 = 2000
2. 72 × 22 can be written as 7 × 7 × 2 × 2 = 49 × 4 = 196
3. 23 × 5 can be written as  2 × 2 × 2 × 5 = 8 × 5 = 40
4. 3 × 44 can be written as 3 × 4 × 4 × 4 × 4= 3 × 256 = 768
5. 0 × 102  can be written as 0 × 10 × 10 = 0 × 100 = 0
6. 52 × 33 can be written as 5 × 5 × 3 × 3 × 3 = 25 × 27 = 675
7. 24 × 32 can be written as 2 × 2 × 2 × 2 × 3 × 3 = 16 × 9 = 144
8. 32 × 104 can be written as 3 × 3 × 10 × 10 × 10 × 10 = 9 × 10000 = 90000

• (-4) 3

• (-3) × (-2) 3

• (-3) 2 × (-5) 2

• (-2) 3 × (-10) 3

Solution:

1. On expansion of (-4)3,

1. On expansion of (-3) × (-2)3

1. On expansion of (-3)2 × (-5)2

1. On expansion of (-2)3 × (-10)3

• 2.7 × 10 12 and 1.5 × 10 8

1. b) 4 × 10 14 and 3 × 10 17

Solution:

1. b)       The above equation is given as 4 × 1014 and 3 × 1017

Solution:

• When the bases are the same and the exponents are different then the product law is expressed as

• The other aspect of product law is when the bases are different but the exponents are the same then the product law is:

• When the bases are the same but the exponents are different then as per quotient law,

• When the bases are different and the exponents are the same, then the quotient law is an ÷ bn = (a/b)n. here a and b are the rational number and n is a natural number.

• 3 2 × 3 4 × 3 8

• 6 15 ÷ 6 10

• a 3 × a 2

• 7 x × 7 2

• (5 2 ) 3 ÷ 5 3

• 2 5 × 5 5

• b 4 × c 4

• (3 4 ) 3

• (2 20 ÷ 2 15 ) × 2 3

Solution:

1. 32 × 34 × 38 will be written as (3) 2 + 4 + 8 = 314

1. 615 ÷ 610 will be written as (6) 15-10 = 65.

1. a3 × a2 will be written as (a) 3 + 2 = a5.

1. 7x × 72 will be written as 7 (x + 2), this is in accordance with the rule of multiplying the powers when they have the same base, like am × an = a m+n

1. (52)3 ÷ 53. In this the rule of power of as power will be followed, according to which

1. 25 × 55 = (2 × 5)5 = 105. The rule of multiplying the power with the same exponent is applied here.

1. b4 × c4 = (b × c)4 = bc4. The rule of multiplying the power with the same exponents is applied here.

1. (34)3 = (3) 4× 3 = 312. The rule of taking the power of as power is applied here.

1. (220 ÷ 215) × 23

Benefits of Solving Important Questions for Class 7 Maths Chapter 11

• Concept Clarity: Practicing important questions helps students understand fundamental concepts such as the laws of exponents, standard form, and negative powers.
• Improved Problem-Solving Skills: These questions challenge students to apply concepts in different ways, enhancing their analytical and logical thinking abilities.
• Preparation for Exams: Important questions are often modeled after exam-style problems, making them a valuable resource for scoring well in tests and exams.
• Real-Life Applications: Understanding exponents and powers equips students to deal with real-world scenarios involving large and small numbers, such as scientific notation and measurements.
• Builds Confidence: Regular practice of important questions boosts students confidence in tackling challenging problems and reinforces their understanding of the chapter.
• Time Management: Solving a variety of questions helps students learn to manage their time effectively during exams by improving their speed and accuracy.