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The base ten system, also known as the decimal system, is a numeral system that uses ten as its base. It is the most widely used numeral system in the world and is the standard system for denoting integer and non-integer numbers. In this system, the ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are used to represent all numbers.

Definitions:

• Numeral system: A system for representing numbers using digits or symbols.
• Base: The base of a numeral system is the number of unique digits or symbols used to represent numbers in that system.
• Integer: An integer is a whole number, either positive or negative.
• Non-integer: A non-integer is a number that is not a whole number, such as a fraction or decimal.

Examples:

1. The number 25 in the base ten system is represented as 25.
2. The number 103 in the base ten system is represented as 103.
3. The number -7 in the base ten system is represented as -7.
4. The number 1.25 in the base ten system is represented as 1.25.
5. The number 0.003 in the base ten system is represented as 0.003.

Quiz:

1. What is the base of the base ten system?
2. What are the ten digits used to represent numbers in the base ten system?
3. Is the number 25 an integer or a non-integer in the base ten system?
4. Is the number -7 an integer or a non-integer in the base ten system?
5. Is the number 1.25 an integer or a non-integer in the base ten system?
6. Is the number 0.003 an integer or a non-integer in the base ten system?
7. How is the number 103 represented in the base ten system?
8. How is the number -7 represented in the base ten system?
9. How is the number 1.25 represented in the base ten system?
10. How is the number 0.003 represented in the base ten system?

Answers:

1. The base of the base ten system is 10.
2. The ten digits used to represent numbers in the base ten system are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
3. The number 25 is an integer in the base ten system.
4. The number -7 is an integer in the base ten system.
5. The number 1.25 is a non-integer in the base ten system.
6. The number 0.003 is a non-integer in the base ten system.
7. The number 103 is represented as 103 in the base ten system.
8. The number -7 is represented as -7 in the base ten system.
9. The number 1.25 is represented as 1.25 in the base ten system.
10. The number 0.003 is represented as 0.003 in the base ten system.