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Last updated on December 15, 2025

Place Value of 5

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The digit 5 can appear in various places within a number, significantly impacting its value. Its position in a number determines whether it represents five units, fifty, five hundred, or more. Understanding the place value of 5 is crucial to grasping the overall value of a number.

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What is the Place Value of 5?

Numbers adhere to a structured positional system. The digit on the far right is in the ones place, representing single units. Moving left, the next digit is in the tens place, then hundreds, then thousands, and so on.

 

The place value of a digit increases tenfold with each move to the left. For instance, in the number 5,432, the 5 is in the thousands place, meaning it is worth five thousand.

 

The digit itself does not change, but its position multiplies its value, showing how a digit's place can significantly amplify its importance.

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How to Identify the Place Value of 5?

In the standard number system, place value is determined starting from the rightmost digit. Begin with the ones, followed by tens, hundreds, thousands, and so on. Each move to the left increases the value of the place by ten times the place before it.

 

For example, in the number 5,678: - The 5 is in the thousands place → 5 × 1,000 = 5,000. -

 

A digit's place value is determined by its position in the sequence, and the value of that position is multiplied by the digit itself to find its worth.

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Step-by-Step Process for Determining the Place Value of a Digit

Write the number so that all digits are clearly visible. Begin counting positions from the rightmost digit, naming them in order: ones, tens, hundreds, thousands, and so on.

 

Identify the specific digit whose place value is required. Determine the value of that place according to its position in the sequence.

 

Multiply the digit by the place value to find its exact worth. State the complete value, for example: “5 in the hundreds place = 500.”

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Tips and Tricks to Master Place Value

Anchoring place value in real life helps solidify understanding. Here are some practical tips: Draw a place value chart by writing the headings “Ones, Tens, Hundreds, Thousands” across the top. Drop numbers in like puzzle pieces.

 

Break big numbers into parts — For example, 5,432 becomes 5,000 + 400 + 30 + 2, which makes it easier to see. It’s less overwhelming that way.

 

Spot them in real life — Find the place value of 5 in street numbers, odometers, or price tags. Point out where 5 sits.

 

Say it aloud – For instance, “The 5 in 5,678 is five thousand.” Speaking it helps it stick.

 

Turn it into a game – Pull random digits from a jar and arrange them into numbers, just to hunt for the value of 5.

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Common Mistakes and How to Avoid Them in Place Value of 5

Even the most careful learners can make mistakes when working with numbers. A tiny slip, such as placing a digit in the wrong spot, can completely change the value of a number. Let’s look at common mistakes and how to avoid them.

Mistake 1

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Confusing the position of 5 in different places.

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It’s easy to misplace a digit when numbers get larger. Start with the ones place on the right and count across to ensure you land exactly where you need to be. With practice, it becomes more natural, like counting steps to a familiar spot.

Mistake 2

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Overlooking the importance of zero.

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Zero doesn’t add value by itself, but it’s crucial for holding the number’s shape and order. Removing zero shifts other digits into incorrect positions, altering the number's value.

Mistake 3

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Mixing up which digit goes in which place.

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Slow down and let your eyes travel across the digits. Start repeating the names of the places quietly to yourself, ones, tens, hundreds, until you land on the right one. A few moments of careful checking can prevent unnecessary errors.

Mistake 4

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Stopping after finding the digit’s place.

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Knowing which place the digit is in is only half the task. The real value comes when you multiply it by what that place is worth. A 5 in the hundreds place isn’t just a five… it’s five hundred. That small step changes everything.

Mistake 5

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Overthinking an easy concept until it feels confusing.

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Big numbers are easier to understand when broken into manageable parts. Tackle one part at a time and piece them back together. Place value is best understood in small, clear bites, not as a daunting whole.

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Solved Examples on Place Value of 5

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Problem 1

Whatโ€™s the place value of 5 in 25,678?

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It’s in the ten-thousands place → 5 × 10,000 = 50,000.

Explanation

In 25,678, the 5 is in the ten-thousand place, which carries significant weight — each digit here is worth ten thousand. So this isn’t just a five; it stands for fifty thousand.

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Problem 2

Find the place value of 5 in 4,357.

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Digit 5 sits in the tens place → 5 × 10 = 50.

Explanation

Reading the number carefully, the 5 is in the tens spot. That means it’s worth five lots of ten, which is fifty in total. The same digit, but its place changes its value significantly.

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Problem 3

In 105,074, whatโ€™s the place value of 5?

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That’s the hundreds spot → 5 × 100 = 500.

Explanation

Here, the 5 occupies the hundreds position, making it worth five groups of one hundred, which totals five hundred.

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Problem 4

Whatโ€™s the place value of 5 in 52,842?

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Ten-thousands place → 5 × 10,000 = 50,000.

Explanation

In this number, the 5 sits at the start in the ten-thousands position, meaning it represents fifty thousand, not just five.

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Problem 5

In 987,654, whatโ€™s the place value of 5?

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Hundreds place → 5 × 100 = 500.

Explanation

In this number, the 5 is in the hundreds position, indicating it represents five hundred. Its place determines its value.

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FAQs on Place Value of 5

1.Is the value of 5 the same in every number?

No, the value of 5 depends on its position in the number. It could be 5, 50, 500, 5,000, or more, depending on where it is placed.

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2.Can a decimal have a "hundreds" place?

Not in the same way whole numbers do. In decimals, the value of the digits goes in the opposite direction — tenths, hundredths, thousandths, and so on. These are much smaller parts of a whole.

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3.Can a number smaller than 500 have a hundreds place?

No. The hundreds place only exists in numbers that are 100 or more. If a number is smaller, there isn’t a digit in that position.

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4.Why should one count from the right instead of the left?

Because place value starts with the smallest units on the far right — the ones place — and each step to the left makes the value ten times bigger. Counting from the right helps see that natural increase in value.

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5.What is the place value of 5 in 5,000?

The 5 is in the thousands place, so its value is 5,000.

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Important Glossaries for Place Value of 5

  • Place Value – The value a digit has based on where it is in a number.

 

  • Zeros as Placeholders – Zeros are used to keep digits in their correct positions, such as in 5,000.

 

  • Expanded Form – A number written as the sum of each digit’s place value, like 5,000 = 5 × 1,000.

 

  • Base 10 System – Our number system is based on powers of ten, determining place value.

 

  • Digit Position – The location of a digit within a number, which defines its value and significance.
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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: She loves to read number jokes and games.

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