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1.Explain how the base 10 number system works. How would you teach the notion of place value to a class? How are decimal numbers related to rational numbers? When is a decimal number also a rational number?

2. Explain the process of decimal multiplication and division. Explain the mathematical justification for moving the decimal point when performing decimal division.

Attached.

Running head: NUMBER SYSTEM

1

Number System

Student Name

Institutional Affiliation

Instructor

Date

NUMBER SYSTEM

2

Number System

1. Explain how the base 10 number system works. How would you teach the notion of place

value to a class? How are decimal numbers related to rational numbers? When is a decimal

number also a rational number?

Explain how the base 10 number system works.

In mathematics, the radix or base is that number of various combination of digits and

letters or a single digit that every counting system uses to represent numbers. The use of base 10

in the numbering system is to help assign a place value to numerals. The base 10 number system

is sometimes referred to as the decimal system. The base powers of 10 determine the positions or

places of the numbers. For instance, the base 10 denotes the positions of integers ranging from 0

to 9. That means if a number goes past 9. The counting s...

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