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Thousandths: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">ThousandthsThousandths: Definition and ExampleTable of ContentsDefinition of Thousandths in Decimal Numbers

Thousandths represent the third place after the decimal point in our place value system. Decimal numbers have two main parts: a whole number part and a fractional part separated by a decimal point. When a decimal has exactly three digits after the decimal point, we refer to it as a thousandth. For example, in the decimal number 123.456123.456123.456, the digit 666 is in the thousandths place. One thousandth means one part in a thousand equal parts and can be written as 11,000\frac{1}{1,000}1,0001​ or 0.0010.0010.001 in decimal form.

Decimal place values follow a specific pattern moving from left to right. We have tenths (one digit after the decimal), hundredths (two digits after the decimal), and thousandths (three digits after the decimal). For instance, 0.50.50.5 equals 510\frac{5}{10}105​ and is read as "five tenths," 0.150.150.15 equals 15100\frac{15}{100}10015​ and is read as "fifteen hundredths," and 0.1230.1230.123 equals 1231,000\frac{123}{1,000}1,000123​ and is read as "one hundred twenty-three thousandths." This pattern helps us understand how decimal numbers represent fractional parts of whole numbers.

Examples of Thousandths in Decimal Numbers Example 1: Writing a Decimal in Words Problem:

Write 0.5970.5970.597 in words.

Step-by-step solution: Step 1, Identify how many decimal places we have in this number. 0.5970.5970.597 has three digits after the decimal point, which means it extends to the thousandths place. Step 2, Recognize there are two ways to read this decimal: The digit-by-digit approach: "Zero point five nine seven" The place value approach: "Five hundred ninety-seven thousandths" Step 3, Remember: When using the place value approach, we read the decimal part as a whole number followed by the smallest place value name. Step 4, Therefore, 0.5970.5970.597 in words is "zero point five nine seven" or "five hundred ninety-seven thousandths." Example 2: Identifying Digits at the Thousandths Place Problem:

Identify the digit at the thousandths place in 8251,000\frac{825}{1,000}1,000825​.

Step-by-step solution: Step 1, Let's break down the fraction into its place value components: 8251,000=810+2100+51,000\frac{825}{1,000} = \frac{8}{10} + \frac{2}{100} + \frac{5}{1,000}1,000825​=108​+1002​+1,0005​ Step 2, Convert this fraction to a decimal by dividing the numerator by the denominator: 8251,000=0.825\frac{825}{1,000} = 0.8251,000825​=0.825 Step 3, Identify which position is the thousandths place. The thousandths place is the third position after the decimal point. Step 4, In 0.8250.8250.825, the digit in the thousandths place is 555. Example 3: Converting a Sum of Fractions to a Decimal Problem:

Write the following as a decimal number: 210+3100+71,000\frac{2}{10} + \frac{3}{100} + \frac{7}{1,000}102​+1003​+1,0007​

Step-by-step solution: Step 1, Convert each fraction to its decimal form: 210\frac{2}{10}102​ = 0.20.20.2 (tenths place) 3100\frac{3}{100}1003​ = 0.030.030.03 (hundredths place) 71,000\frac{7}{1,000}1,0007​ = 0.0070.0070.007 (thousandths place) Step 2, Notice that each fraction represents a different place value in our decimal system. This is important because when we add them, each digit will occupy its own place. Step 3, Add these decimal values: 0.2+0.03+0.007=0.2370.2 + 0.03 + 0.007 = 0.2370.2+0.03+0.007=0.237 Step 4, Our answer is 0.2370.2370.237, which can be read as "two hundred thirty-seven thousandths." Comments(7)GGolfEnthusiastNinaNovember 6, 2025This glossary page on thousandths is great! It helped my student grasp the concept easily. Thanks for the clear examples and explanations.

MCMs. CarterSeptember 17, 2025I’ve been using the thousandths page to help my kids with decimals, and it’s been a game-changer! The examples make it so easy to explain place value. Highly recommend it for parents and teachers!

NNatureLover25September 10, 2025This definition of thousandths was super clear and the examples really helped my kids grasp the concept. We used it during homework time to practice writing decimals in words—it’s a fantastic resource!

NNatureLover75August 27, 2025This Thousandths definition was super helpful for explaining decimals to my 4th grader! The examples made it easy to connect decimals to fractions. We even practiced writing numbers in words together—it’s a great resource!

NNatureLover85August 20, 2025This explanation of thousandths was so clear! I used the examples to help my son with his homework, and he finally got the hang of decimals. Thanks for making it simple!

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