https://file.aiquickdraw.com/mathbot/file/1727491005181d40d077b.jpg

The equation in the image is:

\[
(1475)_{10} = (N)_8
\]

This means the decimal number \( 1475 \) (base 10) needs to be converted into its octal (base 8) form, and the result is represented as \( N \).

Let me perform the conversion to determine \( N \).The decimal number \( 1475 \) in base 10 is equal to \( 2703 \) in base 8. Therefore, \( N = 2703 \).

Would you like further details or explanations?

Here are five related questions you might find helpful:
1. How can you convert any number from decimal to octal manually?
2. What are the steps to convert octal numbers back to decimal?
3. How does the base system work for different numbering systems like binary, octal, and hexadecimal?
4. What are some real-world applications of octal numbers?
5. How do you perform arithmetic operations directly in base 8?

**Tip**: When converting from one base to another, especially between bases like 2, 8, and 16, it can be easier because these bases are all powers of 2!

Convert the decimal number 1475 to its octal form.

Understand how to convert the decimal number 1475 to its octal equivalent. This process involves repeated division by 8, covering important concepts in number systems and base conversion. Suitable for students in Grades 9-12.

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