Math Problem Statement
Write 110 (in base 3) in the base-ten system.
Solution
The question asks to convert the number (in base 3) to its base 10 equivalent.
Let's break this down:
Step-by-step conversion of :
The base-3 number can be expanded as:
Now calculate each term:
Adding these up:
Thus, in base-10 is .
Would you like more details or explanations? Here are five related questions for practice:
- Convert to base 10.
- Convert to base 10.
- How would you convert a number from base 10 to base 3?
- What is in base 10?
- Convert to base 10.
Tip: When converting from any base to base 10, expand the number by multiplying each digit by the base raised to the power of its position (starting from 0 on the right).
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Math Problem Analysis
Mathematical Concepts
Base Conversion
Number Systems
Formulas
Base-n to Base-10 Conversion Formula: digit × base^position
Theorems
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Suitable Grade Level
Grades 5-7