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101 LearnersLast updated on December 15, 2025
Place Value of 6
The digit 6 can reside in various places within a number, each position giving it a different value. For instance, a 6 in the ones place represents six single units, but the same 6 in the tens place represents sixty. The positioning of 6 changes its contribution to the entire number.
What is the Place Value of 6?
Numbers follow a structured positional system where each digit's position determines its value. The rightmost digit is in the ones place, representing single units. Moving left, the next digit is in the tens place, then hundreds, and so forth.
For example, in the number 6,532, the 6 is in the thousands place, meaning it represents six thousand.
The digit itself remains the same, but its position within the number can greatly increase or decrease its value. A 6 in the ones place is simply 6, but in the tens place, it becomes 60, and in the hundreds place, it’s 600.
How to Identify the Place Value of 6?
In the standard number system, the place value is determined by counting positions from the rightmost digit. The sequence begins with ones, followed by tens, hundreds, thousands, and so on.
Each move to the left increases the value of the place by ten times the previous place. In a number like 6,789: -
The 9 is in the ones place – value: 9
The 8 is in the tens place – value: 80
The 7 is in the hundreds place – value: 700
The 6 is in the thousands place – value: 6 × 1,000 = 6,000
The digit 6's position determines its value in the number and acts as a multiplier for its basic value.
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: “6 in the thousands place = 6,000.”
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Tips and Tricks to Master Place Value
Have you ever tried remembering something by sticking a post-it to your forehead? Place value sticks the same way, as in, it works when you anchor it in your senses and real life.
Let’s load your math toolbox with ideas you can actually use: - 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, 32,764 becomes 30,000 + 2,000 + 700 + 60 + 4, which makes it easier to see. It’s going to be less overwhelming that way.
Spot them in real life — Find the place of 6 in street numbers, odometers, or price tags. Point out where the 6 is.
Say it aloud – For instance, “The 6 in 63,452 is sixty 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 place of 6.
Common Mistakes and How to Avoid Them in Place Value of 6
Even the most careful learners can commit common mistakes when working with numbers. A tiny slip, such as skipping a zero or miscounting a place, can completely change the value of the number. Let’s look at the mistakes that happen most often, and how to sidestep them with ease.
Mistake 1
Confusing tens with hundreds.
It’s easy to lose count or slip up when the values of numbers start getting higher, but the trick is surprisingly easy to adapt. Start with the ones place on the right and count across, one position at a time, until you land exactly where you need to be. The more you practice it, the more natural it will feel, almost like counting steps as you walk to a familiar spot in your neighborhood.
Mistake 2
Skipping over the zero.
It’s easy to overlook zero since it doesn’t add value on its own, but it’s crucial for holding the number’s shape and order. Take it away, and the other digits slide into the wrong spots. It’s like taking the books out from the middle of a neatly stacked shelf — everything shifts and the order is lost.
Mistake 3
Mixing up which digit goes in which place.
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 seconds of careful reading can save you from a futile mistake.
Mistake 4
Stopping after finding the digit’s place.
Knowing which place the digit is in is only half the journey. The real value comes when you multiply it by what that place is worth. A 6 in the thousands place isn’t just a six… it’s six thousand. That small step changes everything.
Mistake 5
Overthinking an easy concept until it feels confusing
Big numbers are easier to understand when you split them into parts you can work with. Tackle one part at a time and piece them back together. Place value works best when it’s understood in small, clear bites, not as one giant chunk that leaves you feeling lost.
Solved Examples on Place Value of 6
Problem 1
Whatโs the place value of 6 in 6,502?
It’s in the thousands place → 6 × 1,000 = 6,000.
Explanation
In 6,502, the 6 is in the thousands place, which is the leftmost digit in this case. That position carries significant weight — each digit here is worth a thousand. So this isn’t just a six; it’s enough to make six thousand all on its own.
Problem 2
Find the place value of 6 in 76,489.
Digit 6 sits in the ten-thousands place → 6 × 10,000 = 60,000.
Explanation
If you read the number carefully, the 6 is sitting in the ten-thousands spot. That means it’s worth six lots of ten thousand, which is sixty thousand in total. Same little digit, but the place it sits changes its value completely.
Problem 3
In 120,674, whatโs the place value of 6?
That’s the hundreds spot → 6 × 100 = 600.
Explanation
Here, the 6 is parked in the hundreds position. That’s the third place from the right, so it stands for six groups of one hundred — giving us a total of six hundred.
Problem 4
Whatโs the place value of 6 in 39,642?
Hundreds place → 6 × 100 = 600.
Explanation
This time, the 6 sits in the hundreds position. Being in that spot means it’s worth six hundred, not just six. One position makes all the difference.
Problem 5
In 986,754, whatโs the place value of 6?
Thousands place → 6 × 1,000 = 6,000.
Explanation
In this number, the 6 comes immediately after the 8 in the ten-thousands place. Its spot is the thousands position, so it represents six thousand in total. That’s the power of where a digit is placed.
FAQs on Place Value of 6
1.Can a decimal have a "thousands" place?
2.Can a number smaller than 1,000 have a thousands place?
3.Why should one count from the right instead of the left?
4.What is the place value of 6 in 6,000?
5.Is 6 in the thousands place the same as six thousand?
Important Glossaries for Place Value of 6
- Place Value – The value a digit has based on where it is in a number.
- Expanded Form – A number written as the sum of each digit’s place value.
- Zero as a Placeholder – Zero is used to keep the digits in their correct positions.
- Base 10 System – Our whole number system is built around powers of ten.
- Thousands Place – The fourth position from the right in a whole number.
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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.
Fun Fact
: She loves to read number jokes and games.
