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  1. Download PDF solutions for Class 6 Maths Chapter 1 exercises on numerals, place value and word problems. Learn how to write and compare large numbers in Indian and International systems.

  2. Learn how to compare, arrange and make numbers using different digits and conditions. Explore the history and development of numbers and Mathematics with examples and activities.

    • 2MB
    • 27
    • Introduction
    • Ascending and Descending Order and Shifting Digits
    • Larger Numbers and Estimates
    • Bodmas
    • GeneratedCaptionsTabForHeroSec

    Introduction to Numbers

    1. Numbers are arithmetic values. 2. Numbers are used to convey the magnitude of everything around us.

    Comparing Numbers

    Comparing numbers when the total number of digits is different 1. The number with the most number of digits is the largest number by magnitude, and the number with the least number of digits is the smallest number. Example: Consider numbers: 22, 123, 9, 345, 3005. The largest number is 3005 (4 digits), and the smallest number is 9 (only 1 digit) Comparing numbers when the total number of digits is the same 1. The number with the highest leftmost digit is the largest number. If this digit also...

    Ascending Order and Descending Order

    1. Ascending Order:Arranging numbers from the smallest to the greatest. 2. Descending Order:Arranging numbers from the greatest to the smallest number. 3. Example: Consider a group of numbers: 32, 12, 90, 433, 9999 and 109020. They can be arranged in descending order as 109020, 9999, 433, 90, 32 and 12, and in ascending order as 12, 32, 90, 433, 9999 and 109020. To know more about Ascending Order, visit here. To know more about descending Order, visit here.

    How many numbers can be formed using a certain number of digits?

    1. If a certain number of digits are given, we can make different numbers having the same number of digits by interchanging the positions of digits. 2. Example: Consider 4 digits: 3, 0, 9, 6. Using these four digits, (i) Largest number possible = 9630 (ii) Smallest number possible = 3069 (Since 4 digit number cannot have 0 as the leftmost number, the number then will become a 3-digit number)

    Shifting Digits

    1. Changing the position of digits in a number changes the magnitude of the number. 2. Example: Consider the number 789. If we swap the hundredths place digit with the digit at units place, we will get 987 which is greater than 789. Similarly, if we exchange the tenths place with the units place, we get 798, which is greater than 789.

    Introducing Large Numbers

    Large numbers can be easily represented using the place value. It goes in ascending order, as shown below. 1. Largest 3 digit number + 1 = Smallest 4 digit number. 2. Largest 4 digit number + 1 = Smallest 5 digit number, and so on. Example: 9999 (greatest 4 digit number) + 1 = 10,000 (smallest 5 digit number) 3. We can convert every large number in terms of smaller numbers: Remember, 1 hundred = 10 tens 1 thousand = 10 hundreds = 100 tens 1 lakh = 100 thousands = 1000 thousands 1 crore = 100...

    Estimation

    1. When there is a very large figure, we approximate that number to the nearest plausible value. This is called estimation. 2. Estimating depends on the degree of accuracy required and how quickly the estimate is needed. 3. Example: To know more about “Estimation of Numbers”, visit here

    Estimating Sum or Difference

    1. Estimations are used in adding and subtracting numbers. 1. Example of estimation in addition: Estimate 7890 + 437. Here 7890 > 437. Therefore, round off to hundreds. 7890 is rounded off to 7900 437 is rounded off to + 400 Estimated Sum = 8300 Actual Sum = 8327 2. Example of estimation in subtraction: Estimate 5678 – 1090. Here 5678 > 1090. Therefore, round off to thousands. 5678 is rounded off to 6000 1090 is rounded off to – 1000 Estimated Difference = 5000 Actual Difference = 4588

    BODMAS

    1. We follow an order to carry out mathematical operations. It is called as BODMAS rule. While solving mathematical expressions, parts inside a bracket are always done first, followed by of, then division, and so on. 1. Example : [(5 + 1) ×2] ÷ (2 ×3) + 2 – 2 = ? [(5 + 1) ×2] ÷ (2 ×2) + 2 – 2….{Solve everything which is inside the brackets} = [6 × 2] ÷ 6 + 2 – 2…..{Multiplication inside brackets} = 12 ÷ 6 + 2 – 2……{Division} = 2 + 2 – 2……{Addition} = 4 – 2…….{Subtraction} = 2

    Using brackets

    1. Using brackets can simplify mathematical calculations. 2. Example : 1. 7 × 109 = 7 × (100 + 9) = 7 × 100 + 7 × 9 = 700 + 63 = 763 2. 7 × 100 + 6 × 100 = 100 × (7 + 6) = 100 × 13 = 1300

    Roman Numerals

    1. Digits 09 in Roman are represented as I, II, III, IV, V, VI, VII, VIII, IX, X 2. Some other Roman numbers are : I = 1, V = 5 , X = 10 , L = 50 , C = 100 , D = 500 , M = 1000 Rules for Writing Roman Numerals 1. If a symbol is repeated, its value is added as many times as it occurs. Example: XX = 10 + 10 = 20 2. A symbol is not repeated more than three times. But the symbols X, L and D are never repeated. 3. If a symbol of a smaller value is written to the right of a symbol of greater value,...

    Learn how to compare, arrange, and estimate numbers using place value, Roman numerals, and BODMAS. Find examples, exercises, and FAQs on CBSE Class 6 Maths Chapter 1.

  3. May 9, 2019 · NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers PDF solved by Subject Experts as per NCERT (CBSE) Book guidelines. Knowing Our Numbers Class 6 Maths Chapeter 1 Questions with Solutions to help you to revise complete Syllabus and Score More marks.

  4. Learn how to compare, read and write large numbers, and use the metric system for distance and weight. This lesson covers the NCERT book topics for class 6 math unit 1.

  5. Sep 10, 2019 · Class 6 Maths Chapter 1 Knowing Our Numbers NCERT Solutions: In Chapter 1 Knowing our numbers, we discuss about Comparing Numbers Worksheet, Large Numbers In Practice, Using Brackets and Roman Numerals Chart. You can find the other.

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