NCERT Class 7 Maths Chapter 13 Exponents and Powers Exercise 13.3

Chapter 13 Exponents and Powers Exercise 13.3

Question 1: Write the following numbers in the expanded forms:
279404
Answer:

= (2 × 100000) + (7 × 10000) + (9 × 1000) + (4 × 100) + (0 × 10) + (4 × 1)
= (2 × 10⁵) + (7 × 10⁴) + (9 × 10³) + (4 × 10²) + (0 × 10¹) + (4 × 10⁰)

3006194
Answer:

= (3 × 1000000) + (0 × 100000) + (0 × 10000) + (6 × 1000) + (1 × 100) + (9 × 10) + 4
= (3 × 10⁶) + (0 × 10⁵) + (0 × 10⁴) + (6 × 10³) + (1 × 10²) + (9 × 10¹) + (4 × 10⁰)

2806196
Answer:

= (2 × 1000000) + (8 × 100000) + (0 × 10000) + (6 × 1000) + (1 × 100) + (9 × 10) + 6
= (2 × 10⁶) + (8 × 10⁵) + (0 × 10⁴) + (6 × 10³) + (1 × 10²) + (9 × 10¹) + (6 × 10⁰)

120719
Answer:

= (1 × 100000) + (2 × 10000) + (0 × 1000) + (7 × 100) + (1 × 10) + (9 × 1)
= (1 × 10⁵) + (2 × 10⁴) + (0 × 10³) + (7 × 10²) + (1 × 10¹) + (9 × 10⁰)

20068
Answer:

= (2 × 10000) + (0 × 1000) + (0 × 100) + (6 × 10) + (8 × 1)
= (2 × 10⁴) + (0 × 10³) + (0 × 10²) + (6 × 10¹) + (8 × 10⁰)

Question 2: Find the number from each of the following expanded forms:
(a) (8 ×10)
⁴ + (6 × 10)³ + (0 × 10)² + (4 × 10)¹ + (5 × 10)
Answer:

= (8 × 10000) + (6 × 1000) + (0 × 100) + (4 × 10) + (5 × 1)
= 80000 + 6000 + 0 + 40 + 5
= 86045

(b) (4 ×10)⁵ + (5 × 10)³ + (3 × 10)² + (2 × 10)
Answer:

= (4 × 100000) + (0 × 10000) + (5 × 1000) + (3 × 100) + (0 × 10) + (2 × 1)
= 400000 + 0 + 5000 + 300 + 0 + 2
= 405302

(c) (3 ×10)⁴ + (7 × 10)² + (5 × 10)
Answer:

= (3 × 10000) + (0 × 1000) + (7 × 100) + (0 × 10) + (5 × 1)
= 30000 + 0 + 700 + 0 + 5
= 30705

(d) (9 ×10)⁵ + (2 × 10)² + (3 × 10)¹
Answer:

= (9 × 100000) + (0 × 10000) + (0 × 1000) + (2 × 100) + (3 × 10) + (0 × 1)
= 900000 + 0 + 0 + 200 + 30 + 0
= 900230

Question 3: Express the following numbers in standard form:
(i) 5,00,00,000
Answer:
The standard form of the given number is 5 × 10⁷.

(ii) 70,00,000
Answer:
The standard form of the given number is 7 × 10⁶.

(iii) 3,18,65,00,000
Answer:
The standard form of the given number is 3.1865 × 10⁹.

(iv) 3,90,878
Answer:
The standard form of the given number is 3.90878 × 10⁵.

(v) 39087.8
Answer:
The standard form of the given number is 3.90878 × 10⁴.

(vi) 3908.78
Answer:
The standard form of the given number is 3.90878 × 10³.

Question 4: Express the number appearing in the following statements in standard form.
(a) The distance between Earth and Moon is 384,000,000 m.
Answer:
The standard form of the statement is 3.84 × 10⁸ m.

(b) Speed of light in vacuum is 300,000,000 m/s.
Answer:
The standard form of the statement is 3 × 10⁸ m/s.

(c) Diameter of the Earth is 1,27,56,000 m.
Answer:
The standard form of the statement is 1.2756 × 10⁷ m.

(d) Diameter of the Sun is 1,400,000,000 m.
Answer:
The standard form of the statement is 1.4 × 10⁹ m.

(e) In a galaxy there are on an average 100,000,000,000 stars.
Answer:
The standard form of the statement is 1 × 10¹¹ stars.

(f) The universe is estimated to be about 12,000,000,000 years old.
Answer:
The standard form of the statement is 1.2 × 10¹⁰ years old.

(g) The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300,000,000,000,000,000,000 m.
Answer:
The standard form of the statement is 3 × 10²² m.

(h) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.
Answer:
The standard form of the statement is 6.023 × 10²² molecules.

(i) The earth has 1,353,000,000 cubic km of sea water.
Answer:
The standard form of the statement is 1.353 × 10⁹ cubic km.

(j) The population of India was about 1,027,000,000 in March, 2001.
Answer:
The standard form of the statement is 1.027 × 10⁹.

1 comment:

Buy from our Store

Visit our VS Store to get Extra Discounts! Only for our Beloved users!

Visit here

Also read!

• Class 6

Class 6 Computer Kips Solutions
Class 6 Gul Mohar English Solutions
→ Class 6 Map Pointing Solutions
Class 6 NCERT Civics Solutions
Class 6 NCERT Geography Solutions
Class 6 NCERT History Solutions
Class 6 NCERT Maths Solutions
Class 6 NCERT Science Solutions

• Class 7

Class 7 Computer Kips Solutions
Class 7 Gul Mohar English Solutions
English Grammar Class 7
English Writing Skills Class 7
Class 7 Map Pointing Solutions
Class 7 NCERT Civics Solutions
Class 7 NCERT Civics Notes
Class 7 NCERT Civics Extra Questions
Class 7 NCERT Geography Solutions
Class 7 NCERT Geography Notes
Class 7 NCERT Geography Extra Questions
Class 7 NCERT History Solutions
Class 7 NCERT History Notes
Class 7 NCERT History Extra Questions
Class 7 NCERT Maths Solutions
Class 7 NCERT Science Solutions
Class 7 NCERT Science Notes
Class 7 NCERT Science Extra Questions

• Class 8

Class 8 Kips Artificial Intelligence Solutions
Class 8 Gul Mohar English Solutions
English Grammar Class 8
English Writing Skills Class 8
Class 8 Map Pointing Solutions
Class 8 NCERT Civics Solutions
Class 8 NCERT Civics Notes
Class 8 NCERT Civics Extra Questions
Class 8 NCERT Geography Solutions
Class 8 NCERT Geography Notes
Class 8 NCERT Geography Extra Questions
Class 8 NCERT History Solutions
Class 8 NCERT History Notes
Class 8 NCERT History Extra Questions
Class 8 NCERT Maths Solutions
Class 8 NCERT Science Solutions
Class 8 NCERT Science Notes
Class 8 NCERT Science Extra Questions
Class 8 NCERT Science Exemplar
Class 8 NCERT Science MCQs

• Class 9

Class 9 Kips Artificial Intelligence Solutions
Class 9 Map Pointing Solutions
Class 9 NCERT Civics Solutions
Class 9 NCERT Geography Solutions
Class 9 NCERT History Solutions
Class 9 NCERT Maths Solutions
Class 9 NCERT Science Solutions

• Class 10

Class 10 Kips Artificial Intelligence Solutions
Class 10 NCERT English Solutions
→ Class 10 Map Pointing Solutions
Class 10 NCERT Civics Solutions
Class 10 NCERT Civics Notes
Class 10 NCERT Civics Extra Questions
Class 10 NCERT Geography Solutions
Class 10 NCERT Geography Notes
Class 10 NCERT Geography Extra Questions
Class 10 NCERT History Solutions
→ Class 10 NCERT History Notes
Class 10 NCERT History Extra Questions
Class 10 NCERT Maths Solutions
Class 10 NCERT Science Solutions
Class 10 NCERT Science Notes
Class 10 NCERT Science Extra Questions

• Computer languages
Python Basics

• Extra Activities
Extra Activities

• Extra Knowledge
Extra Information
General Knowledge
Historical Places in India
Latest technology
Physical Sciences
Facts

• Mathematics quick links
Mathematical Terms
Maths Tricks