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Digit: Definition and Example | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">DigitDigit: Definition and ExampleTable of ContentsDefinition of Digits

Digits are the fundamental numerical symbols used in mathematics to represent values. The ten symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 form the basic building blocks of our number system. These ten digits can be combined in various arrangements to represent any numerical value. For instance, the number 65 is formed by combining the digits 6 and 5, making it a two-digit number. The development of these symbols arose from historical necessity as human civilization expanded into scientific and trade endeavors, creating a need for standardized numerical representation.

Digits form different categories of numbers based on how many digits are used together. Two-digit numbers range from 10 to 99, with the tens place occupied by digits 1 through 9. Four-digit numbers span from 1,000 to 9,999. The place value system gives each digit a specific value based on its position in the number. While a digit's face value remains constant regardless of position (the digit itself), its place value changes depending on where it appears in the number. For example, in 283, the digit 2 has a face value of 2 but a place value of 200 (2 hundreds).

Examples of Digits Example 1: Counting Digits Problem:

How many digits are there in 1,458?

Step-by-step solution:

Step 1, look at the number 1,458 and identify each individual digit.

Step 2, count each digit separately: 1, 4, 5, and 8.

Step 3, the number 1,458 contains four digits.

Example 2: Creating the Greatest Possible Number Problem:

Using the digits 6, 6, 8, get the greatest 3-digit number.

Step-by-step solution:

Step 1, understand that to create the greatest possible number, we need to place the largest digit in the leftmost position (hundreds place).

Step 2, identify the largest digit among 6, 6, and 8. The largest digit is 8.

Step 3, arrange the remaining digits (6 and 6) in descending order from left to right.

Step 4, the greatest 3-digit number that can be formed is 866.

Example 3: Determining Place Value Problem:

What is the place value of digit 4 in the number 84,527?

Step-by-step solution:

Step 1, identify the position of digit 4 in the number 84,527. The digit 4 is in the thousands place.

Step 2, recall that place value refers to the value a digit represents based on its position in the number.

Step 3, calculate the place value by multiplying the digit by its position value: 4 × 1,000 = 4,000

Step 4, the place value of 4 in 84,527 is 4,000 (four thousand).

Comments(6)BBasketballPlayerLunaNovember 5, 2025This glossary def of 'digit' is great! I've used it to explain place value to my students. It made the concept so much clearer.

NNatureLover85September 10, 2025I’ve used the digit definition and examples from this page to explain place value to my kids—it’s super clear and easy to follow! It really helped them grasp how numbers work.

MCMs. CarterAugust 27, 2025I’ve used the digit definition and examples from this page to help my kids understand place value better. It’s simple and clear—made explaining multi-digit numbers so much easier!

NNatureLover95August 20, 2025I’ve been using this glossary page to help my kids understand digits and place value—it’s so clear and easy to follow! The examples really made a difference during homework time.

MMathMom25August 6, 2025I’ve used this definition to explain place value to my 6-year-old. It’s super clear and the examples helped him grasp how multi-digit numbers are formed—makes learning math way easier!

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