To find out how many numbers are there between 73,567 and 75,224, we need to follow these steps:
### Step 1: Identify the two numbers
The two numbers we are working with are:
- Lower number: 73,567
- Upper number: 75,224
### Step 2: Subtract the lower number from the upper number
We will calculate the difference between the two numbers to find out how many numbers lie between them.
\[
75,224 - 73,567
\]
### Step 3: Perform the subtraction
Let's subtract these numbers step by step:
1. Start from the rightmost digit (units place):
- 4 (from 75,224) - 7 (from 73,567): We cannot subtract 7 from 4, so we need to borrow.
- Borrow 1 from the next column (which is 2), making it 1 (2 becomes 1) and adding 10 to 4, making it 14.
- Now, 14 - 7 = 7.
2. Move to the next column (tens place):
- Now we have 1 (from borrowing) - 6 (from 73,567): Again, we cannot subtract 6 from 1, so we need to borrow again.
- Borrow 1 from the next column (which is 2), making it 1 (2 becomes 1) and adding 10 to 1, making it 11.
- Now, 11 - 6 = 5.
3. Move to the next column (hundreds place):
- Now we have 1 (from borrowing) - 5 (from 73,567): We cannot subtract 5 from 1, so we need to borrow again.
- Borrow 1 from the next column (which is 5), making it 4 (5 becomes 4) and adding 10 to 1, making it 11.
- Now, 11 - 5 = 6.
4. Move to the next column (thousands place):
- Now we have 4 - 3 = 1.
5. Move to the leftmost column (ten-thousands place):
- Now we have 7 - 7 = 0.
Putting it all together, we have:
\[
75,224 - 73,567 = 1,657
\]
### Step 4: Count the numbers between the two numbers
Since we want to find the numbers **between** 73,567 and 75,224, we need to subtract 1 from the difference we calculated.
\[
1,657 - 1 = 1,656
\]
### Final Answer
Thus, there are **1,656 numbers** between 73,567 and 75,224.
---
