RD Sharma Class 6 Chapter 1, titled “Knowing Our Numbers,” is a foundational chapter in the renowned mathematics textbook series. This chapter introduces students to the essential concepts of numbers and their applications, setting the stage for more advanced mathematical studies.
In Chapter 1: “Knowing Our Numbers”, students explore a range of fundamental numerical concepts. The chapter begins with an introduction to natural numbers and whole numbers, helping students understand the basic building blocks of mathematics. It then dives into different number systems, including the Indian and International systems, enabling students to appreciate various ways of representing numbers.
Key Topics in RD Sharma Class 6 Chapter 1
A key focus of Chapter 1: “Knowing Numbers” is on place value, a crucial concept for understanding larger numbers. Students learn to identify place values and express numbers in expanded form. The chapter also covers important skills like comparing numbers, and rounding, which are vital for practical problem-solving.
Chapter Overview
In this chapter, students explore a range of fundamental numerical concepts, including:
- Natural numbers and whole numbers
- Method of Numeration (Indian and International)
- Place value and face value
- expanded form of numbers
- Comparing and ordering numbers
- Large Numbers in practice
RD Sharma Solutions Chapter 1: Knowing Our Numbers
Exercise 1.1 – Page 1.7
1. Write each of the following in numeral form:
I. Eight thousand twelve.
II. Seventy thousand fifty three.
III. Five lakh seven thousand four hundred six.
IV. Six lakh two thousand nine.
V. Thirty lakh eleven thousand one.
VI. Eight crore four lakh twenty five.
VII. Three crore three lakh three thousand three hundred three.
VIII. Seventeen crore sixty lakh thirty thousand fifty seven.
Solution:
I. Eight thousand twelve: 8012
II. Seventy thousand fifty three: 70,053
III. Five lakh seven thousand four hundred six: 5,07,406
IV. Six lakh two thousand nine: 6,02,009
V. Thirty lakh eleven thousand one: 30,11,001
VI. Eight crore four lakh twenty five: 8,04,00,025
VII. Three crore three lakh three thousand three hundred three: 3,03,03,303
VIII. Seventeen crore sixty lakh thirty thousand fifty seven: 17,60,30,057
2. Write the following numbers in words in the Indian system of numeration:
I. 42,007
II. 4,05,045
III. 35,42,012
IV. 7,06,04,014
V. 25,05,05,500
VI. 5,50,50,050
VII. 5,03,04,012
Solution:
I. 42,007: Forty two thousand seven.
II. 4,05,045: Four lakh five thousand forty five.
III. 35,42,012: Thirty five lakh forty two thousand twelve.
IV. 7,06,04,014: Seven crore six lakh four thousand fourteen.
V. 25,05,05,500: Twenty five crore five lakh five thousand five hundred.
VI. 5,50,50,050: Five crore fifty lakh fifty thousand fifty.
VII. 5,03,04,012: Five crore three lakh four thousand twelve.
3. Insert commas in the correct positions to separate periods and write the following
numbers in words:
I. 4375
II. 24798
III. 857367
IV. 9050784
V. 10105607
VI. 10000007
VII. 910107104
Solution:
I. 4,375
II. 24,798
III. 8,57,367
IV. 90,50,784
V. 1,01,05,607
VI. 1,00,00,007
VII. 91,01,07,104
4. Write each of the following in expanded notation:
I. 3057
II. 12345
III. 10205
IV. 235060
Solution:
I. 3057 = 3 × 1000 + 0 × 100 + 5 × 10 + 7 × 1
II. 12345 = 1 × 10000 + 2 × 1000 + 3 × 100 + 4 × 10 + 5 × 1
III. 10205 = 1 × 10000 + 0 × 1000 + 2 × 100 + 0 × 10 + 5 × 1
IV. 235060 = 2 × 100000 + 3 × 10000 + 5 × 1000 + 0 × 100 + 6 × 10 + 0 × 1
5. Write the corresponding numeral for each of the following:
I. 7 × 1000 + 2 × 1000 + 5 × 100 + 9 × 10 + 6 × 1
II. 4 × 100000 + 5 × 1000 + 1 × 100 + 7 × 1
III. 8 × 1000000 + 3 × 1000 + 6 × 1
IV. 5 × 10000000 + 7 × 1000000 + 8 × 1000 + 9 × 10 + 4
Solution:
I. 7 × 1000 + 2 × 1000 + 5 × 100 + 9 × 10 + 6 × 1 = 72,596
II. 4 × 100000 + 5 × 1000 + 1 × 100 + 7 × 1 = 4,05,107
III. 8 × 1000000 + 3 × 1000 + 6 × 1 = 80,03,006
IV. 5 × 10000000 + 7 × 1000000 + 8 × 1000 + 9 × 10 + 4 = 5,70,08,094
5. Write the corresponding numeral for each of the following:
I. 7 × 1000 + 2 × 1000 + 5 × 100 + 9 × 10 + 6 × 1
II. 4 × 100000 + 5 × 1000 + 1 × 100 + 7 × 1
III. 8 × 1000000 + 3 × 1000 + 6 × 1
IV. 5 × 10000000 + 7 × 1000000 + 8 × 1000 + 9 × 10 + 4
Solution:
I. 7 × 1000 + 2 × 1000 + 5 × 100 + 9 × 10 + 6 × 1 = 72,596
II. 4 × 100000 + 5 × 1000 + 1 × 100 + 7 × 1 = 4,05,107
III. 8 × 1000000 + 3 × 1000 + 6 × 1 = 80,03,006
IV. 5 × 10000000 + 7 × 1000000 + 8 × 1000 + 9 × 10 + 4 = 5,70,08,094
Tips for Mastering RD Sharma Textbook
- Learn the theory part from NCERT text book and practice regularly with problems from the RD Sharma textbook
- Focus on understanding concepts rather than memorizing
- Relate numbers to real-life situations for better comprehension
- Set learning goals based on concepts rather than completing the book
Conclusion
RD Sharma Class 6 Chapter 1: “Knowing Our Numbers” lays a strong foundation for future mathematical studies. The skills acquired in this chapter, from understanding large numbers to estimating results, are essential for tackling more complex mathematical problems in higher classes and real-life situations.