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What is the base of the decimal system?

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Question: What is the base of the decimal system?

Options:

  1. 2
  2. 8
  3. 10
  4. 16

Correct Answer: 10

Solution: 

The decimal system is a base-10 numeral system.

What is the base of the decimal system?

Practice Questions

Q1
What is the base of the decimal system?
  1. 2
  2. 8
  3. 10
  4. 16

Questions & Step-by-Step Solutions

What is the base of the decimal system?
  • Step 1: Understand what a numeral system is. A numeral system is a way to represent numbers using symbols.
  • Step 2: Learn about different bases in numeral systems. The base tells us how many different symbols (digits) we can use.
  • Step 3: Identify the base of the decimal system. The decimal system uses 10 different symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
  • Step 4: Conclude that since the decimal system uses 10 symbols, it is called a base-10 numeral system.
  • Base of Number Systems – Understanding that the decimal system is based on powers of 10.
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