Question

Fill in the blank!
Regrouping Multiple Place Values
Subtract: 500 - 258
Exact difference:

I can't borrow from the tens place, because there are 0 tens.
I will borrow from the hundreds place to make _ tens.
I'm giving one of those tens to the ones place.

500
-258
------
____

Estimated difference:
500
-250
-------
____

Therefore, our answer is reasonable.

Answer 1

To solve the subtraction problem and fill in the blanks, let's work through the process step by step.

1. **Exact difference**:

To subtract 500 - 258, we can set it up as follows:

```
500
- 258
------
```

Since there are 0 tens in 500, we encounter a problem while subtracting 8 (the ones place in 258) from 0. To make it possible, we will borrow from the hundreds place.

I will borrow from the hundreds place to make **10 tens** (instead of 0 tens).

Now let's update our numbers:

- We change 500 (which is 5 hundreds) to 4 hundreds, and we see it as 400 + 100 (which is now 10 tens), making it possible to subtract from the ones and tens.

Here's the updated layout:

```
4 10 0 (this represents 400 and 10 tens)
- 2 5 8
------
```

Now, we’ll convert it to perform the subtraction properly:

### Ones place:
- We can now take 10 (from what was borrowed) and subtract 8:
\(10 - 8 = 2\)

### Tens place:
- Now we can subtract the tens, we have 10 and must subtract 5, since we borrowed 1 ten from the original 10 (the initial value of 0 tens turns into 10 after borrowing):
\(10 - 5 = 5\)

### Hundreds place:
- After borrowing, we subtract from 4 hundreds to 2 hundreds:
\(4 - 2 = 2\)

Putting it all together:
```
4 10 0
- 2 5 8
------
2 4 2 (242)
```

So, the exact difference is **242**.

2. **Estimated difference**:

To estimate, we round 258 to the nearest hundred or tens place. We can round it to 250 (as it's closer to 250 than to 300).

Now we perform the estimated subtraction:

```
500
- 250
------
250
```

So, the estimated difference is **250**.

### Final layout:

Regrouping Multiple Place Values
Subtract: 500 - 258
Exact difference: **242**
I can't borrow from the tens place, because there are 0 tens.
I will borrow from the hundreds place to make **10 tens**.
I'm giving one of those tens to the ones place.

500
-258
------
**242**

Estimated difference:
500
-250
-------
**250**

Therefore, our answer is reasonable.