Math Problem Statement
745 10 change base 5
Solution
To convert the number (in base 10) to base 5, follow these steps:
Steps:
-
Divide the number by 5 and record the remainder.
This remainder becomes the least significant digit (rightmost digit) in base 5. -
Repeat the division with the quotient until the quotient becomes 0.
Each remainder you obtain becomes the next digit in the base 5 representation (from right to left).
Conversion:
-
remainder 0
(Least significant digit: ) -
remainder 4
(Next digit: ) -
remainder 4
(Next digit: ) -
remainder 0
(Next digit: ) -
remainder 1
(Most significant digit: )
Final Answer:
Reading the remainders from bottom to top, in base 5 is:
Would you like more detailed explanations or examples? 😊
Related Questions:
- How do you convert numbers from other bases to base 10?
- What is the general formula for converting between arbitrary bases?
- Can you explain how to perform arithmetic (e.g., addition) in base 5?
- What are some practical applications of base conversion?
- How do you handle fractional numbers during base conversion?
Tip:
When converting to any base, always verify by converting back to ensure accuracy!
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Math Problem Analysis
Mathematical Concepts
Base Conversion
Number Systems
Formulas
Repeated division by the target base
Quotient-remainder theorem
Theorems
Positional Notation
Suitable Grade Level
Grades 6-8