Place Value Charts

A place value chart is a table that organises digits into their correct positions so that the value of each digit is immediately clear. It is one of the most useful tools for understanding, reading and writing numbers of any size.

Structure of a Place Value Chart

Columns are labelled from left to right, starting with the largest place on the left.

Trillions	Billions	Millions	Hundred Thousands	Ten Thousands	Thousands	Hundreds	Tens	Ones

Placing a Number in the Chart

Always start by placing the last (rightmost) digit in the ones column, then move left.

Example: Place 38,204 in the chart.

Hundred Thousands	Ten Thousands	Thousands	Hundreds	Tens	Ones
0	3	8	2	0	4

30,000 + 8,000 + 200 + 0 + 4 = 38,204

Reading a Number from a Chart

Find the leftmost non-zero digit – this starts the number.
Read across right, including any zeros.
Group into periods (thousands, millions, etc.) by inserting commas every three digits from the right.

Worked Example – 7-Digit Number

Place 4,057,003 in a chart:

Millions	Hundred Thousands	Ten Thousands	Thousands	Hundreds	Tens	Ones
4	0	5	7	0	0	3

Reading: four million, fifty-seven thousand, three.

Using Charts to Compare Numbers

Place both numbers in the chart and compare column by column from left to right. The first column where the digits differ determines which number is larger.

	Thousands	Hundreds	Tens	Ones
Number A: 4,832	4	8	3	2
Number B: 4,819	4	8	1	9

Both have 4 thousands and 8 hundreds. At tens: 3 > 1, so 4,832 > 4,819.

Key Points

A place value chart has one column per position, largest on the left.
Always fill from the right (ones column) to avoid misalignment.
Zeros must be written in empty positions – never leave a column blank.
Charts make comparing, adding and subtracting numbers much easier.

Practice: Build the Number from the Chart

The place values of a number are shown below. If you get the combined number wrong (or leave it blank), we'll add the columns together with you.

What number do these place values make?

Summary

Place value charts provide a visual and organised way to understand any number. By placing each digit in the correct column, you can instantly see its contribution to the whole number. Charts are also a powerful tool for comparing numbers and for setting up column addition and subtraction correctly.