# 5-Digit Place Value Worksheets

### About These 15 Worksheets

These worksheets help you understand the value of numbers based on their position in a five-digit number. Just like in a game of musical chairs, where each chair (or position) is important, in the world of numbers, the position of a digit determines its value.

For instance, in the number 12,345:

The ‘1’ is in the ten thousands place.

The ‘2’ is in the thousands place.

The ‘3’ is in the hundreds place.

The ‘4’ is in the tens place.

The ‘5’ is in the ones place.

See? Each position or “place” (left to right) gives a digit its value!

### The Types of Problems on These Worksheets

**Identifying Place Values** – These problems might ask, “In the number 14,256, what is the value of the digit 4?” You’d then identify that ‘4’ is in the thousands place, so its value is 4,000.

**Expanding Numbers** – Here, you’ll break down a number into its individual place values. For example, 12,345 can be expanded to 10,000 + 2,000 + 300 + 40 + 5.

**Comparing Numbers** – You might get questions like, “Which is greater – the 5 in 54,321 or the 5 in 12,543?” You’d then determine that the 5 in 54,321 (which is 50,000) is greater than the 5 in 12,543 (which is 5).

**Writing Numbers** – Some questions will describe a number using place values, and you’ll be asked to write it out. For example, “Write a number with 7 in the thousands place and 3 in the tens place.” The answer could be 17,030.

**Rounding Off Numbers** – You may be asked to round a number to the nearest hundred, thousand, or ten thousand. For instance, rounding 13,467 to the nearest thousand gives 13,000.

### How These Worksheets Improve Your Math Skills

**Strong Foundation** – Understanding place value is crucial. Almost everything in math, from addition to decimals, relies on this concept. Mastering it early on sets you up for success.

**Boosts Logical Thinking** – Breaking down a number or figuring out the value of a specific digit in a number enhances your analytical and logical thinking skills.

**Develops Attention to Detail** – Questions that require comparing digits based on their positions improve your attention to detail.

**Enhances Number Sense** – Working with 5-digit numbers regularly will make you comfortable handling big numbers, improving your overall number sense.

**Practice in Estimation** – Rounding off numbers is a form of estimation. The better you get at this, the quicker you’ll be in making approximations in various math problems.

### Real World Skills

Here are some everyday scenarios where you would use these skills:

**Shopping** – Imagine you’re buying a game console that costs $12,345. By understanding place values, you’ll instantly recognize that the item is in the ten-thousands price range.

**Saving Money** – If you’re trying to save $15,000 for a big purchase in the future, understanding place values will help you set and track your savings goals.

**Traveling** – If a city is 14,256 miles away, understanding that ‘4’ represents 4,000 miles can give you a better sense of the distance.

**Comparing Data** – If you’re looking at populations of cities or sales figures, understanding 5-digit numbers can help you make quick comparisons.

**Estimations in Daily Life** – Whether you’re trying to quickly estimate the time required to travel a certain distance or the amount you’ll spend in a month, rounding off and estimation skills come in handy.

By delving deep into these worksheets, we not only become masters at handling big numbers but also equip ourselves with skills essential for daily life. So, the next time you encounter a 5-digit number, you’ll know exactly the worth of each digit, making you a true number ninja!