Large Numbers Around Us | A

Question 4

To make the digit 7, three sticks are needed.

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

Question diagram 1
Check your answer with HomiSolve it yourself, then let Homi check your steps and spot mistakes.
Solution
Understand the Question
  • In a standard digital or matchstick representation, each digit is formed using a specific number of line segments (sticks).
  • To find the total number of sticks required to form the four-digit number 51085108, count the number of sticks needed for each individual digit (55, 11, 00, and 88) and find their sum.

Step 1 · Find Sticks Required for Each Digit

Diagram 1

The number of sticks required to form each digit (0 to 9):

  • Digit 00: 66 sticks
  • Digit 11: 22 sticks
  • Digit 22: 55 sticks
  • Digit 33: 55 sticks
  • Digit 44: 44 sticks
  • Digit 55: 55 sticks
  • Digit 66: 66 sticks
  • Digit 77: 33 sticks
  • Digit 88: 77 sticks
  • Digit 99: 66 sticks

Step 2 · Calculate Total Sticks for 5108

Count the sticks needed for each digit in 51085108:

  • Sticks for digit 5=55 = 5
  • Sticks for digit 1=21 = 2
  • Sticks for digit 0=60 = 6
  • Sticks for digit 8=78 = 7
Total sticks=5+2+6+7=20\begin{aligned} \text{Total sticks} &= 5 + 2 + 6 + 7 \\ &= 20 \end{aligned}
Answer

2020 sticks

Common Mistakes
  • Zero-Value Error: Assuming digit 00 takes 00 sticks because its numerical value is zero. A digital 00 forms an outer loop requiring 66 sticks.
  • Digit 1 Miscount: Counting digit 11 as 11 stick instead of the 22 vertical segments required in standard digital display format.

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?

← Back to Large Numbers Around Us