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 has
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.