Identifying Numbers By Place Value And Finding The Largest 5-Order Number

by Scholario Team 74 views

Hey guys! Today, we're diving into the world of numbers and place values. We've got a list of numbers, and our mission is to identify the ones that fit specific criteria and find the largest number within a certain order. Let's get started!

Understanding Place Value

Before we jump into the numbers, let's quickly recap what place value means. In our number system, each digit has a value depending on its position. From right to left, we have ones, tens, hundreds, thousands, ten thousands, hundred thousands, and so on. Understanding place value is crucial for tasks like these, helping us break down numbers and understand their components.

When we talk about "tens of thousands," we're looking at the fifth digit from the right. A number like 34,259 has 3 in the ten thousands place, meaning it has 3 ten thousands or 30,000. Similarly, "hundreds of thousands" refers to the sixth digit from the right. For instance, in the number 123,456, the 1 is in the hundred thousands place, representing 100,000.

Now, with this understanding, let’s tackle our main task. We'll go through the numbers one by one, applying our knowledge of place value to identify those formed by tens of thousands and hundreds of thousands.

Identifying Numbers Formed by Tens of Thousands

Let's identify the numbers formed only by tens of thousands from our list: 34,259, 61,503, 12,016, 45,830, 123,456, 483,224, 10,240, 8,019, 803,113, 520,601, 700,002, 31,016, 801,001, 8,010, and 119,517.

To find the numbers formed only by tens of thousands, we need to look for numbers where the significant digits extend up to the ten thousands place but not beyond. This means we're looking for numbers with five digits.

Here’s a breakdown:

  • 34,259: This number has 3 ten thousands (30,000), so it qualifies.
  • 61,503: This number has 6 ten thousands (60,000), so it qualifies.
  • 12,016: This number has 1 ten thousand (10,000), so it qualifies.
  • 45,830: This number has 4 ten thousands (40,000), so it qualifies.
  • 123,456: This number goes up to hundred thousands, so it doesn’t qualify.
  • 483,224: This number goes up to hundred thousands, so it doesn’t qualify.
  • 10,240: This number has 1 ten thousand (10,000), so it qualifies.
  • 8,019: This number only goes up to thousands, so it doesn’t qualify.
  • 803,113: This number goes up to hundred thousands, so it doesn’t qualify.
  • 520,601: This number goes up to hundred thousands, so it doesn’t qualify.
  • 700,002: This number goes up to hundred thousands, so it doesn’t qualify.
  • 31,016: This number has 3 ten thousands (30,000), so it qualifies.
  • 801,001: This number goes up to hundred thousands, so it doesn’t qualify.
  • 8,010: This number only goes up to thousands, so it doesn’t qualify.
  • 119,517: This number goes up to hundred thousands, so it doesn’t qualify.

So, the numbers formed only by tens of thousands are: 34,259, 61,503, 12,016, 45,830, 10,240, and 31,016. These numbers each have a significant digit in the ten thousands place, making them fit our criteria.

Identifying Numbers Formed by Hundreds of Thousands

Next, we need to identify the numbers formed by hundreds of thousands. These are numbers where the most significant digit is in the hundred thousands place, meaning they have six digits.

Let's revisit our list:

  • 34,259: This number only goes up to ten thousands, so it doesn’t qualify.
  • 61,503: This number only goes up to ten thousands, so it doesn’t qualify.
  • 12,016: This number only goes up to ten thousands, so it doesn’t qualify.
  • 45,830: This number only goes up to ten thousands, so it doesn’t qualify.
  • 123,456: This number has 1 hundred thousand (100,000), so it qualifies.
  • 483,224: This number has 4 hundred thousands (400,000), so it qualifies.
  • 10,240: This number only goes up to ten thousands, so it doesn’t qualify.
  • 8,019: This number only goes up to thousands, so it doesn’t qualify.
  • 803,113: This number has 8 hundred thousands (800,000), so it qualifies.
  • 520,601: This number has 5 hundred thousands (500,000), so it qualifies.
  • 700,002: This number has 7 hundred thousands (700,000), so it qualifies.
  • 31,016: This number only goes up to ten thousands, so it doesn’t qualify.
  • 801,001: This number has 8 hundred thousands (800,000), so it qualifies.
  • 8,010: This number only goes up to thousands, so it doesn’t qualify.
  • 119,517: This number has 1 hundred thousand (100,000), so it qualifies.

So, the numbers formed by hundreds of thousands are: 123,456, 483,224, 803,113, 520,601, 700,002, 801,001, and 119,517. Each of these numbers has a digit in the hundred thousands place, confirming they meet our criteria.

Finding the Largest Number Formed by 5 Orders

Now, let's find the largest number formed by 5 orders. Remember, the order of a digit refers to its place value position. Five orders mean we're looking for the largest five-digit number.

From our list, we need to consider the numbers that have five digits: 34,259, 61,503, 12,016, 45,830, 10,240, and 31,016.

To find the largest number, we'll compare the digits from left to right:

  • The ten thousands place: We have 3, 6, 1, 4, 1, and 3. The largest digits here are 6 and 4.
  • Comparing 61,503 and 45,830, we see that 61,503 is larger.

Therefore, the largest number formed by 5 orders is 61,503. This number has the highest value in the ten thousands place among all the five-digit numbers in our list, making it the largest.

Conclusion

Alright guys, we did it! We successfully identified the numbers formed by tens of thousands and hundreds of thousands, and we found the largest number formed by 5 orders. Understanding place value is super important in math, and this exercise really helps solidify that understanding. Keep practicing, and you'll become number experts in no time! Remember, math can be fun when we break it down step by step. Keep exploring and see you in the next math adventure!