Math Problem Statement

Convert the decimal number 1475 to its octal form.

Solution

The equation in the image is:

(1475)10=(N)8(1475)_{10} = (N)_8

This means the decimal number 14751475 (base 10) needs to be converted into its octal (base 8) form, and the result is represented as NN.

Let me perform the conversion to determine NN.The decimal number 14751475 in base 10 is equal to 27032703 in base 8. Therefore, N=2703N = 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!

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Math Problem Analysis

Mathematical Concepts

Number Systems
Base Conversion
Octal Numbers

Formulas

Decimal to Octal Conversion: Repeated division by 8

Theorems

Base Conversion Theorem

Suitable Grade Level

Grades 9-12