- Equivalent Ratio Calculator
- Ratio Comparison Calculator
- Ratio Division Calculator
- Equivalent Ratios Calculator
- Rationalising the Denominator
- Multiplying Brackets containing Surds
- Basic Operations with Surds
- Properties of Surds
- What are the different Types of Surds
- What Are Surds?
- Powers of Numbers Written in the Standard Form

Welcome to our Math lesson on **Classes and Placeholders**, this is the sixth lesson of our suite of math lessons covering the topic of **Numbering Systems, a Historical View**, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

To simplify understanding, numbers are grouped into sets of three digits that start from right to left. These groups are known as **classes**. Thus, starting from the left we have the simple class, the thousands class, then the millions class, then the billions class and so on. A small space or a comma is often used to separate the classes from each other. The three digits contained in a class are known as **placeholders**. Thus, for each class we have the placeholder of ones, tens and hundreds. We can see an example of this in the figure below.

The above number can be written as 601 843 279 or 601,843,279 and means 603 million 843 thousands and 279. For example, the placeholder containing the digit 4 shows ten thousands, the placeholder containing the digit 1 shows one millions and so on.

What does the digit 4 indicate in the following numbers?

- 3,248,632
- 52,113,247
- 304,618

- Since Hindu-Arabic numerals increase by 10 times when moving from right to left, we have 2 for ones, 3 for tens, 6 for hundreds, 8 for one-thousands, 4 for ten-thousands, 2 for hundred thousand and 3 for one millions. Hence, the digit 4 here indicates ten-thousands.
- Here the digit 4 indicates tens, as it is in the second position from the right.
- Here the digit 4 indicates one thousands, as it is in the fourth position from the right.

Enjoy the "Classes and Placeholders" math lesson? People who liked the "Numbering Systems, a Historical View lesson found the following resources useful:

- Classes Feedback. Helps other - Leave a rating for this classes (see below)
- Arithmetic Math tutorial: Numbering Systems, a Historical View. Read the Numbering Systems, a Historical View math tutorial and build your math knowledge of Arithmetic
- Arithmetic Video tutorial: Numbering Systems, a Historical View. Watch or listen to the Numbering Systems, a Historical View video tutorial, a useful way to help you revise when travelling to and from school/college
- Arithmetic Revision Notes: Numbering Systems, a Historical View. Print the notes so you can revise the key points covered in the math tutorial for Numbering Systems, a Historical View
- Arithmetic Practice Questions: Numbering Systems, a Historical View. Test and improve your knowledge of Numbering Systems, a Historical View with example questins and answers
- Check your calculations for Arithmetic questions with our excellent Arithmetic calculators which contain full equations and calculations clearly displayed line by line. See the Arithmetic Calculators by iCalculator™ below.
- Continuing learning arithmetic - read our next math tutorial: Number Sets, Positive and Negative Numbers and Number Lines

We hope you found this Math tutorial "Numbering Systems, a Historical View" useful. If you did it would be great if you could spare the time to rate this math tutorial (simply click on the number of stars that match your assessment of this math learning aide) and/or share on social media, this helps us identify popular tutorials and calculators and expand our free learning resources to support our users around the world have free access to expand their knowledge of math and other disciplines.

- Arithmetic Expressions Calculator
- Decimal Hexadecimal Number Calculator
- Hexadecimal Decimal Number Calculator
- Hindu Arabic To Roman Numbers Converter
- Identifying Factors Number Calculator
- Least Common Multiple And Greatest Common Factor Calculator
- Prime Numbers Identifier
- Greatest Common Divisor Calculator
- Number Format Converter
- Math Powers
- Square Root Calculator
- Exponents Calculator
- Binary Calculator
- Binary To Decimal Calculator
- Common Factors
- Imperial Converter
- Imperial To Metric Converter
- Length Converter
- Metric Converter
- Metric Units Conversion Calculator
- Roman Numerals Converter
- Rounding Numbers Calculator
- Round To Nearest Multiple Calculator
- Sig Fig Calculator
- Unit Rate Calculator
- Weight Conversion Calculator