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Chapter 1: Knowing Our Numbers

    Introduction

    Estimation and Comparing Numbers

    Estimation and Rounding Off Numbers

    Revision of Place Value

    Introduction of Large Numbers

    Usage of Commas

    International System of Numeration

    Large Numbers used in Daily Life Situations

    Exercise 1.1

    Exercise 1.2

    Exercise 1.3

    Exercise 1.4

    Exercise 1.5

    What Have We Discussed ?

    Enhanced Curriculum Support

    Easy Level Worksheet

    Moderate Level Worksheet

    Hard Level Worksheet

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Chapter 1: Knowing Our Numbers > Introduction of Large Numbers

Introduction of Large Numbers

Introducing 10,000

The greatest 1-digit number is .

The greatest 2-digit number is .

The greatest 3-digit number is .

Similarly, the greatest 4-digit number is .

Let us increment the Greatest Numbers:

Let us assume that each box can contain at most 9 dots. As you can see the last box (i.e. the right-most box) has dots.

Lets see what happens when we add one more dot to it. Click somewhere in the 1s cell to add 1:

9 + 1 = .

This shows the transition from the greatest single-digit number to the smallest double-digit number. Here, 10 = 10 × 1.

99 + 1 = .

This demonstrates the transition from the greatest double-digit number to the smallest triple-digit number. Here, 100 = 10 × 10.

999 + 1 = .

This indicates the transition from the greatest triple-digit number to the smallest quadruple-digit number. Here, 1000 = 10 × 100.

By extending the pattern, adding 1 to the greatest 4-digit number (9999) results in the smallest 5-digit number.

9999 + 1 = .

The new number, 10000, called as ten thousand is the first 5-digit number, marking a new level in place value. Additionally, 10000 = 10 × 1000, adhering to the observed pattern.

These patterns demonstrate how numbers progress from one place value category to the next, emphasizing the importance of place value in understanding the number system.

Introducing 1,00,000

Which is the greatest 5-digit number?

Adding 1 to the greatest 5-digit number, should give the smallest 6-digit number

99,999 + 1 =

This number is named one lakh.

comes next to 99,999.

Drop the number names into the related boxes.

Instructions

three lakh
four lakh twenty nine
four lakh fifty seven thousand nine hundred twenty eight
three lakh fifty three thousand five hundred
four lakh eight hundred twenty nine
three lakh fifty thousand
four lakh seven thousand nine hundred twenty eight
3,00,000
3,50,000
3,53,500
4,57,928
4,07,928
4,00,829
4,00,029

Expand the following numbers

3,00,000 = 3 ×

3,50,000 = × 100000 + 5 ×

3,53,500 = 3 × + 5 × + 3 × + 5 ×

4,57,928 = × 100000 + × 10000 + × 1000 + × 100 + × 10 + × 1

4,07,928 = × + 7 × + × 100 + × + 8 ×

4,00,829 = 4 × 100000 + × + 2 × + × 1

4,00,029 = × + × + ×

If we add one more to the greatest 6-digit number we get the 7-digit number. It is called ten lakh.

If we add one more to the 7-digit number we get the smallest 8-digit number. The smallest 8-digit number is called one crore.

Let’s use a 1←10 machine to see if that is actually the case. Let us assume that each box can contain at most 9 dots. As you can see the last box has 9 dots. Lets see what happens when we add one more dot to it. Click somewhere in the 1s cell to add 1:

Remember

1 hundred = 10 tens

0 10 20 30 40 50 60 70 80 90 100 10 10 10 10 10 10 100 10 10 10 10

10 Tens = 1 Hundred

1 thousand = hundreds = tens

1 lakh = thousands = hundreds

1 crore = lakhs = thousands

Try these

1.What is 10–1= ?

2. What is 100–1=?

3. What is 10,000 – 1 =?

4. What is 1,00,000 – 1 =?

5. What is 1,00,00,000 – 1 =?

Note:

1)10,100,10000,100000,10000000 are the smallest 2-digit, 3-digit,5-digit,6-digit,8-digit numbers respectively.

2)9,99 ,9999,99999,9999999 are the greatest 1-digit,2-digit,4-digit,5-digit,7-digit numbers respectively.

3)We can say that the predecessor of the smallest n-digit number is the grestest (n-1)-digit numbers.

Example: In the above case: Predecessor of the smallest 2-digit number(10) is greatest 1-digit number(9).In this case n=2;Try to apply this concept for the remaining cases.

Match the quantities to the number of digits needed to specify the quantity.

Instructions

Number of children in your class
Number of children in 6th grade
Number of people in Telangana state
Number of people in India
2 digits
3 digits
4 digits
5 digits
6 digits
7 digits
8 digits

Try to find the exact numbers through internet for your information.

Try these

1. Give an example where the number of things counted would be more than 6-digit number.

2. Starting from the greatest 6-digit number, write the previous five numbers in descending order.,,,,.

3. Starting from the smallest 8-digit number, write the next five numbers in ascending order and read them.,,,,.