Place Value Chart

In math, place value is one of the important concepts of the elementary curriculum. In this article, we will explore the fundamentals of place value with place value chart.

What is place value? When we talk about place value, we should consider few important points:

  • Digit
  • Number
  • Place of a digit in a given number, and finally,
  • Value of the place in a number.

Individual digits construct a number. For example, in number 47845, there are five individual digits, and these are – 4, 7, 8, 4, 5.

Every individual digit in the number 47845 has its place, and every place in a number holds a value.

place_value_chart

The value of digit 4 at Ten Thousands place = 40000
The value of digit 7 at Thousands place = 7000
The value of digit 8 at Hundreds place = 800
The value of digit 4 at Ten place = 40
The value of digit 5 at Ten place = 5

Let’s try to understand the place value of a digit in a number with the help of a place value chart.

You can notice that as we move left, the place value of a digit increases by ten times, and as we move right, the place value of a digit decreases by ten times.

Place Value Chart

place_value_chart

Now we will try to understand with the help of examples.

548,256,189

place_value_chart

Now take one more example of number 784,598.

To find the place value of digits in number 784,598, the first step will be to draw the below table.

Once you draw the table, it will be easier for you to find the place value of each digit. If you are facing a problem, please refer to the concept explained above.

Based on the place value concept, we can also write the number in its expanded form by specifying the actual value of each digit.

Number expanded form of 784598 can be as below

7=700000
8= 80000
4= 4000
5= 500
9= 90
8= 8

If you add all numbers, you will get a total of 784598.

700000 + 80000 + 4000 + 500 + 90 + 8 = 784598

Click for more detail on expanded form of a number

Write the expanded form in different ways: 57369

(a) 50000 + 7000 + 300 + 60 + 9

(b) 5 × 10000 + 7 × 1000 + 3 × 100 + 6 × 10 + 9 × 1

(c) 5 ten thousands + 7 thousands + 3 hundreds + 6 tens + 9 ones

Try This!

Write the following numbers in their expanded form.

9,285 = _________________________________

3,876 = _________________________________

73,439 = _________________________________

Write the following numbers in their standard form.

5000 + 500 + 80 + 2 = __________________

20,000 + 1000 + 300 + 50 + 2 =____________________

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