Math Problem Statement
Convert the decimal number 1475 to its octal form.
Solution
The equation in the image is:
This means the decimal number (base 10) needs to be converted into its octal (base 8) form, and the result is represented as .
Let me perform the conversion to determine .The decimal number in base 10 is equal to in base 8. Therefore, .
Would you like further details or explanations?
Here are five related questions you might find helpful:
- How can you convert any number from decimal to octal manually?
- What are the steps to convert octal numbers back to decimal?
- How does the base system work for different numbering systems like binary, octal, and hexadecimal?
- What are some real-world applications of octal numbers?
- 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