# Lesson 2: Numbers up to 100,000 and their properties

100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001.

In this math lesson you will learn about numbers up to 100,000 and how to do operations with these numbers.

You will discover their properties (for example, that any number added to 0 is that number). In addition, you will learn about the importance of the place value of each digit within the number.

Moreover, you will also learn how to pronounce and write these numbers in words correctly.

In this lesson, we demonstrate how to add and subtract numbers up to 100,000, as well as how to multiply and divide them vertically. The process involves “borrowing” a digit or “carrying” a digit.

Our place-value system is called the “**decimal**” system, because it’s based on **10 fingers** and when we move to the next ten, we add another zero, thus creating a new place value for a new digit.

The lesson teaches how to break down the numbers and group the digits based on their place value in order to do operations with numbers faster and without using a calculator.

For example, 32,000 + 2,340 could be added by breaking them down into 32,000 + 2,000 = 34,000 and then add 340 to zeroes, which results in 34,340.

It is also important to understand the importance of the place value when subtracting the two numbers up to 100,000. The difference may not always be a positive (natural) number.

For example, if we have 30,000 – 32,000, then we are subtracting a greater number from a smaller number, thus the result is a negative number – a negative integer.

You will learn about integers in later grades, but it is always good to be aware of the possible outcomes when working with natural numbers.