Numeral of thirteen lakhs thirteen thousand three hundred and thirteen is

• a. $1,31,31,313$
• b. $13,13,313$
• c. $13,01,313$
• d. $13,14,313$

To determine the numeral representation of "thirteen lakhs thirteen thousand three hundred and thirteen," we need to break down the components of the number based on the Indian numbering system. In this system, a lakh is equal to 100,000, and the structure of large numbers is grouped differently than in the Western system.

Breaking Down the Number

Let's dissect the phrase:

• Thirteen lakhs: This is 13 x 100,000, which equals 1,300,000.
• Thirteen thousand: This is 13 x 1,000, which equals 13,000.
• Three hundred and thirteen: This is simply 313.

Combining the Parts

Now, we can add these components together:

• 1,300,000 (thirteen lakhs)
• + 13,000 (thirteen thousand)
• + 313 (three hundred and thirteen)

When we add these values, we get:

• 1,300,000 + 13,000 = 1,313,000
• 1,313,000 + 313 = 1,313,313

Final Representation

Thus, the complete numeral for "thirteen lakhs thirteen thousand three hundred and thirteen" is 1,31,31,313.

Choosing the Correct Option

Now, looking at the options provided:

• a. 1,31,31,313
• b. 13,13,313
• c. 13,01,313
• d. 13,14,313

The correct answer is clearly option a. 1,31,31,313.

Understanding the Structure

This breakdown not only helps in identifying the correct numeral but also illustrates how the Indian numbering system works, emphasizing the importance of understanding the terms used in large numbers. Each component plays a crucial role in forming the complete number, and recognizing this can aid in both comprehension and application in various mathematical contexts.