NCERT Class 5 Mathematics Maths Mela Chapter 01 We the Travellers I PDF Download

Chapter 1: We the Travellers - I

When was the last time you went on a long trip? Where did you go? How did you travel? What was the duration of your trip? How much distance did you cover? Ask the elders who went with you to help you answer these questions.

Human beings have always been interested in travelling. About a hundred years ago, there were far fewer vehicles than today. There were animal-drawn carts, cars, and trains. Long before this, thousands of years ago, people travelled long distances on foot or used animals to travel from one place to another. They also built boats and ships to travel across lakes, rivers, and seas. Boats were probably the first form of transport invented by humans, much before bullock carts! Do you know how many vehicles are currently there in your state?

Reading and Writing Large Numbers

How do you write numbers to show several thousand objects?

Let us start with 1,000. What numbers do we get when we keep adding a thousand?

[Figure: A sequence showing 1,000; 2,000; blank boxes; blank boxes; blank boxes; blank boxes; blank boxes; blank boxes; 9,000, See in your textbook]

What number do we get when we add a thousand to 9,000? We get ten thousand. How do we write this number?

Look at the table below and notice the pattern of writing numbers. In the place value chart, we have added another column, TTh. It stands for ten thousand.

[Figure: Visual representation showing: 10 Ones = 1 Ten = 10; 10 Tens = 1 Hundred = 100; 10 Hundreds = 1 Thousand = 1,000; 10 Thousands = 1 Ten Thousand = 10,000, See in your textbook]

In the same way, 10 Thousands = Ten Thousand = 10,000

We use a comma to help us read large numbers easily.

Do you remember how we read and write numbers in the Indian place value system? We use the same ten digits 0-9 in different places to write larger numbers.

For example,

1,380 = 1 Thousand + 3 Hundreds + 8 Tens + 0 Ones.

[Figure: Visual representation of 1,380 using tokens, See in your textbook]

9,123 = 9 Thousands + 1 Hundred + 2 Tens + 3 Ones.

[Figure: Visual representation of 9,123 using tokens, See in your textbook]

Teacher's Note

When you write a number in its expanded form, start with the largest place value. In the example 9,123 = 9 Thousands + 1 Hundred + 2 Tens + 3 Ones, notice that we count each group of tokens and write the digits in order from left to right. This same order - ten thousands, thousands, hundreds, tens, ones - appears in the place value chart and in all the numbers you will write.

Let us see how we write numbers beyond 10,000 and how we name them. We write them in the same way as numbers below 9,999. You can use the tokens given in the end of the book.

Teacher's Note

Look at the digits in the place value chart for each number. The first digit (on the left) tells you how many ten thousands; then comes the thousands digit, then the hundreds digit, then the tens digit, then the ones digit on the right. Reading the number name aloud in order - forty-five thousand eight hundred sixty-seven for 45,867 - helps you remember which digit goes in which place.

Let Us Do

1. Fill in the blanks by continuing the pattern in each of the following sequences. Discuss the patterns in class.
   1. (a) 456 → 567 → 678 → __ → __ → __ → __
   2. (b) 1,050 → __ → 3,150 → 4,200 → __ → __ → __
   3. (c) 5,501 → 6,401 → 7,301 → __ → __ → __ → __
   4. (d) 10,100 → 10,200 → 10,300 → __ → __ → __ → 10,900
   5. (e) 10,105 → 10,125 → __ → __ → __ → __ → __
   6. (f) 10,992 → 10,993 → __ → __ → __ → __ → __
   7. (g) 10,794 → 10,796 → 10,798 → __ → __ → __ → __
   8. (h) 73,005 → 72,004 → __ → __ → __ → __ → __
   9. (i) 82,350 → 83,350 → __ → __ → __ → __ → __

Key Points

• To write large numbers, we add a new place value column called ten thousands (TTh) before the thousands place. Each time we move left in the place value chart, the value increases by 10.
• We use a comma to separate groups of digits in large numbers, making them easier to read. For example, 45,867 has a comma after the 5.
• Every number can be broken into place values: each digit tells you how many of that place value it contains. For 13,520, we have 1 ten thousand, 3 thousands, 5 hundreds, 2 tens, and 0 ones.
• Number sequences follow a pattern - the difference between consecutive numbers stays the same or changes in a predictable way. Look at what you add or subtract to go from one number to the next.

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