**Comparing 5-Digit Numbers: How to Find the Greater Number**

Hello, math enthusiasts! Ready to tackle comparing **5-digit numbers**? Whether you’re working on a big project or just curious about numbers, knowing how to find the greater number is a super useful skill. Let’s break it down step-by-step!

#### Step 1: Start with the Leftmost Digit

When comparing 5-digit numbers, always start by looking at the **leftmost digit**, which is in the **ten-thousands place**. The number with the larger digit in this place is the greater number.

For example, let’s compare **45,623** and **56,789**:

**45,623**has a**4**in the ten-thousands place.**56,789**has a**5**in the ten-thousands place.

Since 5 is greater than 4, **56,789** is greater than **45,623**.

We can write:

**45,623 < 56,789**

#### Step 2: What If the Ten-Thousands Place is the Same?

If the digits in the ten-thousands place are the same, you need to move to the **thousands place**. Compare the digits in this position to find out which number is greater.

Let’s compare **54,321** and **54,789**:

- Both numbers have a
**5**in the ten-thousands place. - Next, look at the thousands place:

**54,321**has a**4**in the thousands place.

**54,789**has a**4**in the thousands place as well.

Since the thousands digits are the same, we need to check the next place.

#### Step 3: Check the Hundreds Place

When the ten-thousands and thousands places are the same, move to the **hundreds place**:

In our example with **54,321** and **54,789**:

**54,321**has a**3**in the hundreds place.**54,789**has a**7**in the hundreds place.

Since **7** is greater than **3**, **54,789** is greater than **54,321**.

#### Step 4: What If the Hundreds Place is Also the Same?

Sometimes, the digits in the hundreds place will also be the same. When this happens, compare the **tens place**:

For example, compare **76,540** and **76,541**:

- Both numbers have a
**7**in the ten-thousands place. - Both have a
**6**in the thousands place. - Both have a
**5**in the hundreds place. - Now look at the tens place:

**76,540**has a**4**in the tens place.

**76,541**has a**4**in the tens place as well.

Since the tens digits are the same, we need to look at the ones place.

#### Step 5: Compare the Ones Place

Finally, compare the **ones place**:

**76,540**has a**0**in the ones place.**76,541**has a**1**in the ones place.

Since **1** is greater than **0**, **76,541** is greater than **76,540**.

#### The Final Answer

When comparing 5-digit numbers, start with the ten-thousands place and move right if needed. The first place where the digits differ will show you which number is greater.

Here’s a quick guide:

**Start with the ten-thousands place.****If they’re the same, check the thousands place.****If those are the same, look at the hundreds place.****If those are also the same, compare the tens place.****If needed, compare the ones place.**