Large Numbers Around Us | A

Question 2

As you did before, divide the given numbers to uncover interesting facts about division. Share your thoughts and questions with the class after you uncover each number.

Question diagram 1
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Solution

We will find the distance of the world's longest train journey by dividing two large numbers.

Step 1 — Calculate the journey distance

We need to divide 13,95,000 by 150. This will give us the distance in kilometers. We can simplify the division first. Divide both numbers by 10.

13,95,000÷15013,95,000 \div 150

=139,500÷15= 139,500 \div 15

Now, we perform the division. Let us divide 1395 by 15. 15 multiplied by 9 is 135. We subtract 135 from 139. The remainder is 4. We bring down the next digit, 5. This makes the number 45. 15 multiplied by 3 is 45. We subtract 45 from 45. The remainder is 0. We have two zeros left in 139,500. We add these two zeros to our result.

=9300= 9300

9300 kms\boxed{9300 \text{ kms}}

Diagram 1

Step 2 — Understand the journey

The calculated distance is 9300 kms. This is the longest single-train journey. It runs between Moscow and Vladivostok. This journey takes about 7 days. The longest Indian train route is 4219 kms. It runs from Dibrugarh to Kanyakumari. This Indian journey takes about 76 hours. The Russian journey is much longer. It is more than double the Indian route.

Answer

(i) The distance of the longest single-train journey in the world is 9300 kms.

More questions in A

Q1

Calculate the product to uncover the fact. Once you find the product, read the number in both Indian and American naming systems. Share your thoughts and questions about the fact with the class after you discover each number.

Q2

As you did before, divide the given numbers to uncover interesting facts about division. Share your thoughts and questions with the class after you uncover each number.

Q3

Share such large-number facts you know / come across with your class.

Q4

To make the digit 7, three sticks are needed.

Write or make the number 5108. How many sticks are required?

Q5

  1. Make or write the number 42,019. It would require exactly 23 sticks.

  2. Starting with 42,019, add or write two more sticks, and make a bigger number. One example is 42,078. What other numbers bigger than 42,019 can you make in this way?

  3. Preetham wants to insert the digit '1' somewhere among the digits '4', '2', '0', '1' and '9'. Where should he place the digit '1' to get the biggest possible number?

  4. What other numbers can he make by placing the digit '1'?

Q6

  1. Make or write the number 63,890.

  2. Starting with 63,890, rearrange exactly four sticks and make a bigger number. One example is 88,078. What other numbers bigger than 63,890 can you make in this way?

Q7

  1. Make any number using exactly 24 sticks or lines.

  2. What is the biggest number that can be made using 24 sticks or lines?

  3. What is the smallest number that can be made using 24 sticks or lines?

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