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.
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