Subtracting across zero | Tia Roberts | Live - Free Printable

Let's solve each subtraction problem step by step, showing the necessary working for subtracting across zero. This means we'll need to regroup (borrow) when subtracting from a digit that is zero.

---

a. 600 - 246

We are subtracting:

```
600
- 246
-----
```

Start from the rightmost digit.

#### Step 1: Units place
We have 0 - 6 → can't do this, so we need to borrow.

But the tens digit is also 0, so we need to go to the hundreds place.

- Borrow 1 from the hundreds place (6 becomes 5).
- That 1 hundred becomes 10 tens.
- But we need to use one of those tens in the units place.

So:
- Hundreds: 6 → 5
- Tens: 0 → 10 (after borrowing)
- Now, borrow 1 ten from the tens place (10 → 9), and add 10 to the units place.

Now:
- Units: 10 - 6 = 4
- Tens: 9 - 4 = 5
- Hundreds: 5 - 2 = 3

✔ Answer: 354

> Already shown in the image with regrouping marks.

---

b. 700 - 605

```
700
- 605
-----
```

Start from the right.

#### Step 1: Units place
0 - 5 → can't do it. Need to borrow.

- Hundreds: 7 → 6
- Tens: 0 → 10
- Now borrow 1 ten from tens (10 → 9), give 10 to units.

Now:
- Units: 10 - 5 = 5
- Tens: 9 - 0 = 9
- Hundreds: 6 - 6 = 0

✔ Answer: 95

Wait! Let’s check:

700 - 605 = ?

Actually:
700 - 600 = 100
100 - 5 = 95

Yes, correct.

So final answer: 95

---

c. 200 - 180

```
200
- 180
-----
```

Units: 0 - 0 = 0 ✔
Tens: 0 - 8 → can’t do it.

Need to borrow.

- Hundreds: 2 → 1
- Tens: 0 → 10
- Now, tens: 10 - 8 = 2
- Hundreds: 1 - 1 = 0

So result: 20

✔ Answer: 20

---

d. 900 - 467

```
900
- 467
-----
```

Units: 0 - 7 → can’t do → borrow.

- Hundreds: 9 → 8
- Tens: 0 → 10
- Now borrow 1 ten from tens → tens become 9, units become 10

Now:
- Units: 10 - 7 = 3
- Tens: 9 - 6 = 3
- Hundreds: 8 - 4 = 4

✔ Answer: 433

---

e. 300 - 140

```
300
- 140
-----
```

Units: 0 - 0 = 0 ✔
Tens: 0 - 4 → can’t do → borrow

- Hundreds: 3 → 2
- Tens: 0 → 10
- Now tens: 10 - 4 = 6
- Hundreds: 2 - 1 = 1

✔ Answer: 160

---

f. 800 - 584

```
800
- 584
-----
```

Units: 0 - 4 → borrow needed.

- Hundreds: 8 → 7
- Tens: 0 → 10
- Now borrow 1 ten → tens: 9, units: 10

Now:
- Units: 10 - 4 = 6
- Tens: 9 - 8 = 1
- Hundreds: 7 - 5 = 2

✔ Answer: 216

---

✔ Final Answers:

| Problem | Answer |
|--------|--------|
| a. 600 - 246 | 354 |
| b. 700 - 605 | 95 |
| c. 200 - 180 | 20 |
| d. 900 - 467 | 433 |
| e. 300 - 140 | 160 |
| f. 800 - 584 | 216 |

---

📝 Explanation Summary:

When subtracting across zero, you must borrow through zeros, which involves:
1. Borrowing from the next non-zero digit.
2. Converting zeros into 10s after borrowing.
3. Then borrowing again from that place to the right.

For example, in 600 - 246, you can’t subtract 6 from 0, so you go to the hundreds place, reduce it by 1, and convert the tens and units accordingly.

This method ensures accurate subtraction even when zeros are involved.

Let me know if you'd like a visual diagram or step-by-step layout for any problem!