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Decimal Place Value & Reading Decimals




 
In these lessons, we will learn how to read place values and decimal numbers.

Related Topics:
More Lessons on Decimals and Numbers, Decimal Worksheets, Decimal Games

Reading Place Values

A decimal number is a number that has digits before and after a decimal point. The decimal point is placed after the ones digit.

Example :

Let us look at the decimal number 3.145
Each digit in a decimal number has a place value depending on its position.

Tens

Ones

 

Decimal point

Tenths

 

Hundredths

 

Thousandths

 

3

.

1

4

5


The value of a digit is determined by its place value.

Number

Place Value (of underlined digit)

Value of the digit

3 .145

Ones

3

3. 145

Tenths

0.1

3.1 45

Hundredths

0.04

3.14 5

Thousandths

0.005

When the decimal point of a number is not shown (for example, in whole numbers), then it is assumed to be at the end of the number.

Example :

321 = 321.

4 = 4.




Reading Decimal Numbers

Example:

Read 38.7425

Solution:

Step 1: Values to the left of the decimal point are greater than one.

38 means 3 tens and 8 ones.

Step 2: The word name of the decimal is determined by the place value of the digit in the last place.

The last digit (5) is in the ten-thousandth place.

38.7425 is read as thirty-eight and seven thousand four hundred twenty-five ten thousandths


In this video, you will learn decimal place value patterns for tenths, hundredths, and thousandths. Real world examples help students understand everyday uses for decimals in measurement.


 
Reading Decimal Numbers
The following video explains decimals place values and reading of decimals.


Review of how to read and write decimals.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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