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## Place Value and the Face Value of a Number

Place Value – Indian Place Value Chart:

There are two ways to think about the value of a number: the place value of the number and the face value of the number.

- The place value of a number is the value of the number in relation to the other numbers around it. The place value of a number is determined by its position on the number line. The first number, 1, is at the beginning of the number line and has a place value of 1. The second number, 2, is one place to the right of 1 on the number line and has a place value of 2. The third number, 3, is two places to the right of 1 on the number line and has a place value of 3. And so on.
- The face value of a number is the value that the number represents. The face value of a number is the number itself. For example, the face value of the number 5 is 5. The face value of the number 25 is 25. The face value of the number -5 is -5. And so on.

## Expanded Notation

- When we use expanded notation, we are writing out a number in a way that shows how it is made up of smaller numbers. For example, the number 12 can be written as 1, 2, 3, 4, 6. This is because 12 can be divided evenly into 1, 2, 3, 4, 6 parts.
- When we use expanded notation, we always start with the number 1 and then write out the numbers that make up the number. So, for the number 12, we would start with 1 and then write out 2, 3, 4, 6.

## The Indian System and the International System

The Indian system is a system where goods and services are bartered instead of bought and sold. This system is used in many parts of the world, including India. The international system is a system where goods and services are bought and sold. This system is used in most parts of the world.

## International Place Value Chart

- 1,000 = 1,000
- 100 = 100
- 10 = 10
- 1 = 1

## Comparison of Two Number Systems:

### Binary and Hexadecimal

- The binary number system uses base 2, while the hexadecimal number system uses base 16. In binary, every number is represented by a combination of 0s and 1s. In hexadecimal, every number is represented by a combination of 0s, 1s, 2s, 3s, 4s, 5s, and 6s.
- The number 10 in binary is 1010, while the number 10 in hexadecimal is A. The number 11 in binary is 1011, while the number 11 in hexadecimal is B. The number 12 in binary is 1100, while the number 12 in hexadecimal is C. The number 13 in binary is 1101, while the number 13 in hexadecimal is D. The number 14 in binary is 1110, while the number 14 in hexadecimal is E. The number 15 in binary is 1111, while the number 15 in hexadecimal is F.
- In binary, the number 16 is 10000, while the number 16 in hexadecimal is 10. In binary, the number 17 is 10001, while the number 17 in hexadecimal is 11. In binary, the number 18 is 10010, while the number 18 in hexadecimal is 12. In binary, the number 19 is 10011, while the number 19 in hexadecimal is 13. In binary,

## Comparison Between Indian and International Numeral System

- Indian Numeral System International Numeral System 1 one 2 two 3 three 4 four 5 five 6 six 7 seven 8 eight 9 nine 10 ten 100 one hundred 1000 one thousand.
- The numeral system, or counting system, is the system of mathematics that is used to represent numbers. There are many different numeral systems, but the two most common are the Indian numeral system and the international numeral system.
- The Indian numeral system, which is also known as the Hindu-Arabic numeral system, is the most common numeral system in the world. It is used in most countries in the world, including India, Pakistan, Bangladesh, Sri Lanka, Nepal, and Afghanistan. It is also used in other countries, such as Iran, Iraq, and Morocco.
- The international numeral system, which is also known as the Latin numeral system, is used mainly in Europe and North America. It is used in countries such as the United Kingdom, France, Spain, Italy, Germany, and the United States.