Knowing Our Numbers - Chapter 1 Quiz
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Questions and Answers

What is the total distance covered by her in six days?

Answer not provided in content.

How many glasses of capacity 25 ml can be filled with 4 litres and 500 ml of curd?

180 glasses

The greater number is determined by the number of digits.

True

When forming the largest four-digit number from 7, 8, 3, and 5, the leftmost digit must be the smallest.

<p>False</p> Signup and view all the answers

What is the smallest four-digit number?

<p>1000</p> Signup and view all the answers

What is the smallest five-digit number?

<p>10000</p> Signup and view all the answers

In the Indian system of numeration, commas are placed after ______ digits.

<p>3</p> Signup and view all the answers

What does the prefix 'kilo' represent?

<p>1000 times larger</p> Signup and view all the answers

What does 'centi' represent in terms of size?

<p>100 times smaller</p> Signup and view all the answers

What does 'milli' represent?

<p>1000 times smaller</p> Signup and view all the answers

List five distinct situations in which numbers are used.

<p>Counting students, measuring distances, recording time, managing finances, and telling ages.</p> Signup and view all the answers

What is the greatest number among 92, 392, 4456, 89742?

<p>89742</p> Signup and view all the answers

What is the smallest number among 382, 4972, 18, 59785, 750?

<p>18</p> Signup and view all the answers

The greatest number in 1473, 89423, 100, 5000, 310 is __________.

<p>89423</p> Signup and view all the answers

The smallest number in 1473, 89423, 100, 5000, 310 is __________.

<p>100</p> Signup and view all the answers

The greatest number in 1834, 75284, 111, 2333, 450 is __________.

<p>75284</p> Signup and view all the answers

The smallest number in 1834, 75284, 111, 2333, 450 is __________.

<p>111</p> Signup and view all the answers

The greatest number in 2853, 7691, 9999, 12002, 124 is __________.

<p>12002</p> Signup and view all the answers

The smallest number in 2853, 7691, 9999, 12002, 124 is __________.

<p>124</p> Signup and view all the answers

What is the greatest 4-digit number you can make using the digits 7, 8, 3, 5?

<p>8753</p> Signup and view all the answers

What is the smallest 4-digit number you can make using the digits 7, 8, 3, 5?

<p>3578</p> Signup and view all the answers

The greatest 5-digit number is __________.

<p>99999</p> Signup and view all the answers

The smallest 6-digit number is __________.

<p>100000</p> Signup and view all the answers

Match the following numbers with their expansion:

<p>78 = 7 × 10 + 8 278 = 2 × 100 + 7 × 10 + 8 5278 = 5 × 1000 + 2 × 100 + 7 × 10 + 8 45278 = 4 × 10000 + 5 × 1000 + 2 × 100 + 7 × 10 + 8</p> Signup and view all the answers

What is the number name for 20000?

<p>Twenty thousand</p> Signup and view all the answers

What is the greatest 6-digit number?

<p>999999</p> Signup and view all the answers

What is the smallest 7-digit number?

<p>1000000</p> Signup and view all the answers

1 lakh = _______ ten thousand.

<p>10</p> Signup and view all the answers

1 million = _______ hundred thousand.

<p>10</p> Signup and view all the answers

1 crore = _______ ten lakh.

<p>10</p> Signup and view all the answers

1 crore = _______ million.

<p>10</p> Signup and view all the answers

1 million = _______ lakh.

<p>100</p> Signup and view all the answers

Write the numeral for forty two lakh seventy thousand eight.

<p>427008</p> Signup and view all the answers

Write the numeral for two crore ninety lakh fifty five thousand eight hundred.

<p>2,90,55,800</p> Signup and view all the answers

Write the numeral for seven crore sixty thousand fifty five.

<p>7,60,055</p> Signup and view all the answers

How many millimetres make one kilometre?

<p>1,000,000</p> Signup and view all the answers

How much was the increase in population during 1991-2001?

<p>72,958</p> Signup and view all the answers

What was the total weight of apples and oranges sold by Raman?

<p>5451 kg</p> Signup and view all the answers

Find the total money Raman received from selling apples.

<p>98,280</p> Signup and view all the answers

Find the difference between the greatest and the least 5-digit number using the digits 6, 2, 7, 4, 3.

<p>59421</p> Signup and view all the answers

How many shirts can be stitched from 40 m cloth if 2 m 15 cm is needed for each?

<p>17</p> Signup and view all the answers

Study Notes

Introduction to Numbers

  • Counting has evolved from small quantities to handling large numbers effectively.
  • Numbers allow communication about quantities, helping to compare and arrange collections.
  • The development of mathematics is closely tied to human progress and collective learning.

Comparing Numbers

  • Identifying the greatest or smallest number involves assessing digits and their places.
  • Greater numbers are determined by comparing digit counts and individual digit values from left to right.
  • Example comparisons:
    • Greatest: 59785; Smallest: 18 from set 382, 4972, 18, 59785, 750.
    • Method involves examining the digits in descending order of place value.

Creating Numbers

  • Four unique digits can be arranged to form different numbers, leading to identifying the greatest (8753) and smallest (3578) combinations.
  • Digits can be manipulated to create specific arrangements, enhancing understanding of place values and number formation.

Ascending and Descending Orders

  • Ascending order arranges numbers from smallest to largest, while descending order reverses this.
  • Practical tasks include arranging various sets of numbers to reinforce ordering skills.

Shifting Digits

  • Swapping digits within a number can yield new values, teaching students about digit positions and their impact on magnitude.
  • Experimenting with digits can help in understanding greater and smaller values.

Introducing Larger Numbers

  • Post 9999, the next number is 10,000, marking the start of five-digit numbers.
  • The naming convention follows a systematic approach, expanding numbers by place value (thousands, ten thousands, lakhs, crores).

Expansion of Numbers

  • Numbers can be expressed in their expanded form, highlighting the value of each digit based on its position.
  • For example, 5278 can be expanded as 5000 + 200 + 70 + 8, demonstrating the contributions of each digit.

Understanding Six-Digit Numbers

  • Transitioning from five-digit to six-digit numbers demonstrates the pattern of naming large quantities.
  • Concepts of lakhs and crores are introduced, providing insight into increasingly large numbers.

Aiding in Large Number Comprehension

  • Using indicators and placement boxes can assist in organizing and comprehending large numbers.
  • Commas play a vital role in structuring large numbers in the Indian numeration system, promoting clarity in reading and writing.

Tips for Learning

  • Practicing with various number sets, digit manipulation, and expanding numbers can solidify understanding of numerical concepts.
  • Engage with real-world examples to relate number theory to practical applications, enhancing the learning experience.### Indian System of Numeration
  • The second comma denotes the lakh place, appearing after ten thousand (five digits from the right).
  • The third comma indicates the crore place, appearing after ten lakh (seven digits from the right).
  • Example of number formatting: 5,08,01,592 (5 crore 8 lakh 1 thousand 5 hundred 92).
  • Additional number examples should follow the same format.

International System of Numeration

  • This system uses commas after every three digits from the right, marking thousands and millions.
  • Example: 50,801,592 is read as fifty million eight hundred one thousand five hundred ninety-two.
  • One million equals one thousand thousands.
  • One billion equals one thousand million.

Population Growth in India

  • Population increase statistics during specific decades are significant:
    • 1921-1931: 27 million increase
    • 1931-1941: 37 million increase
    • 1941-1951: 44 million increase
    • 1951-1961: 78 million increase

Basic Commas and Placement Exercises

  • Understanding how to apply commas correctly:
    • For example, "Seventy-three lakh seventy-five thousand three hundred seven" is written as 73,75,307.
  • Numbers can be expressed in both systems and need to be written using placement boxes.

Units of Measurement

  • Length:
    • 1 kilometre (km) = 1000 meters (m) = 1,000,000 millimeters (mm).
    • 1 meter = 100 centimetres (cm) and 1 cm = 10 mm.
  • Weight:
    • 1 kilogram (kg) = 1000 grams (g) = 1,000,000 milligrams (mg).
  • Volume:
    • 1 litre (l) = 1000 millilitres (ml).

Numerical Operations

  • Practical applications include:
    • Calculating total sales from individual item prices and quantities.
    • Finding differences and totals among large sets of numbers.
    • Comparing population figures from different years or other large quantities.

Problem-Solving Techniques

  • Different methods can be applied for addition, subtraction, multiplication, and division in context, e.g., population growth calculations.
  • Understanding the relation between numbers when solving comparisons, e.g., more bicycles sold in a given year.

Comprehending Large Numbers

  • The smallest numbers in various ranges (e.g., four-digit numbers start at 1000).
  • The importance of placing commas for clarity in reading and writing large numbers.
  • Use of numbers is essential in daily life for economic transactions, community statistics, and distance measurements.

Important Numerical Relationships

  • Comprehend and manipulate numbers while considering their contextual values (e.g., how many lakhs make a million).

Key Vocabulary in Context

  • Kilo: signifies 1000 times larger.
  • Centi: indicates 100 times smaller.
  • Milli: refers to 1000 times smaller.

Utilize these notes to understand large numbers, their formats, and practical applications in real-life contexts.

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Chapter 1 Knowing our Numbers PDF

Description

Test your understanding of basic counting concepts in this quiz based on Chapter 1 of 'Knowing Our Numbers'. Learn how ancient civilizations communicated quantities and explore the evolution of numerals. Perfect for students starting their journey in mathematics!

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