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Decimal Place Value: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Decimal Place ValueDecimal Place Value: Definition and ExampleTable of ContentsDefinition of Decimal Place Value

A decimal number shows a whole number and a part of a whole, separated by a decimal point. The digits to the left of the decimal point show whole numbers, and the digits to the right show smaller parts. For example, in the number 25.525.525.5, the number 252525 is the whole number part, and the 555 after the decimal shows five-tenths, or 510\frac{5}{10}105​. Decimals are often used in money, like $4.75\$4.75$4.75 means 444 dollars and 757575 cents.

Each place after the decimal has a special name and value. The first place is tenths (110\frac{1}{10}101​), then hundredths (1100\frac{1}{100}1001​), then thousandths (11,000\frac{1}{1,000}1,0001​), and so on. Each step to the right is 101010 times smaller. Understanding these place values helps us read and write decimal numbers correctly and compare their sizes.

Examples of Decimal Place Value Example 1: Identifying Digits at Specific Places Problem:

Identify the digit at the thousandths place for the given decimals.

(a) 14.00514.00514.005 (b) 172.231172.231172.231 (c) 14.314.314.3 Step-by-step solution: Step 1, Understand the place value positions. Remember that the thousandths place is the third position to the right of the decimal point. Step 2, Examine each number individually.

(a) In 14.00514.00514.005:

The digit in the thousandths place is 555.

We can verify by counting positions: ones, tenths, hundredths, thousandths (555).

(b) In 172.231172.231172.231:

The digit in the thousandths place is 111.

Again, counting positions: ones, tenths, hundredths, thousandths (111).

(c) In 14.314.314.3:

This number only shows the tenths place.

To identify all places, we can rewrite it as 14.30014.30014.300.

Now we see that the digit in the thousandths place is 000.

Example 2: Identifying Place Values of Underlined Digits Problem:

Identify the place value of the bolded digits.

(a) 893.871893.8\textbf{7}1893.871 (b) 66.657\textbf{6}6.65766.657 (c) 0.0450.04\textbf{5}0.045 Step-by-step solution:

Step 1, Identify each digit's position in the place value chart.

Remember: Moving right from the decimal point gives us tenths, hundredths, thousandths, etc.

Step 2, Determine the place value for each bolded digits.

(a) In 893.871893.8\textbf{7}1893.871:

The digit 777 is in the hundredths place (second position right of decimal).

Therefore, its place value is 777 hundredths or 0.070.070.07.

(b) In 66.657\textbf{6}6.65766.657:

The first 666 (bolded) is in the tens place.

Its place value is 606060 (666 tens or 606060).

(c) In 0.0450.04\textbf{5}0.045:

The digit 555 is in the thousandths place (third position right of decimal).

Therefore, its place value is 555 thousandths or 0.0050.0050.005.

Example 3: Finding the Sum of Digits at Specific Places Problem:

What is the sum of the digit at the tenths and hundredths place in the number 354.168354.168354.168?

Step-by-step solution: Step 1, Identify the positions. The tenths place is the first position to the right of the decimal point. The hundredths place is the second position to the right of the decimal point. Step 2, Identify the digits in these positions. In 354.168354.168354.168, the digit in the tenths place is 111. The digit in the hundredths place is 666. Step 3, Calculate the sum. Sum of digits = 1+6=71 + 6 = 71+6=7 Step 4, Therefore, the sum of the digits at the tenths and hundredths places in 354.168354.168354.168 is 777. Comments(8)PPlantParentHankNovember 5, 2025I've been struggling to explain decimal place value to my students. This page made it so much clearer! Thanks for the great resource.

TTeacherAmyNovember 5, 2025I've been struggling to explain decimal place value to my students. This glossary page made it so much easier! Thanks for the clear examples.

GGardenerUmaNovember 4, 2025I've been struggling to explain decimal place value to my students. This page made it so much clearer! Thanks for the great resource.

NNatureLover92September 10, 2025I’ve used the Decimal Place Value page to help my kids understand decimals better. The examples made it easier for them to see how the digits work, and now they’re solving problems with more confidence!

MCMs. CarterAugust 27, 2025I’ve been teaching my kids about decimals, and this glossary made it so much easier to explain! The examples really helped them see how place values work. Great resource!

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