Subtracting across zero worksheet - Free Printable

Problem: Subtracting Across Zero

The task involves solving subtraction problems where borrowing is required, especially when subtracting across zeros. Let's solve each problem step by step.

---

#### Problem a:
$$
600 - 246
$$

1. Align the numbers by place value:
$$
\begin{array}{r}
600 \\
- 246 \\
\hline
\end{array}
$$

2. Subtract the ones place:
- You cannot subtract 6 from 0, so you need to borrow 1 from the tens place.
- The 0 in the tens place becomes 9 (after borrowing), and the 0 in the ones place becomes 10.
- Now, subtract: \(10 - 6 = 4\).

3. Subtract the tens place:
- After borrowing, the tens place is now 9.
- You cannot subtract 4 from 9, so you need to borrow 1 from the hundreds place.
- The 6 in the hundreds place becomes 5 (after borrowing), and the 9 in the tens place becomes 19.
- Now, subtract: \(19 - 4 = 15\).

4. Subtract the hundreds place:
- After borrowing, the hundreds place is now 5.
- Subtract: \(5 - 2 = 3\).

5. Combine the results:
$$
\begin{array}{r}
600 \\
- 246 \\
\hline
354 \\
\end{array}
$$

Answer for a:
$$
\boxed{354}
$$

---

#### Problem b:
$$
700 - 605
$$

1. Align the numbers by place value:
$$
\begin{array}{r}
700 \\
- 605 \\
\hline
\end{array}
$$

2. Subtract the ones place:
- You cannot subtract 5 from 0, so you need to borrow 1 from the tens place.
- The 0 in the tens place becomes 9 (after borrowing), and the 0 in the ones place becomes 10.
- Now, subtract: \(10 - 5 = 5\).

3. Subtract the tens place:
- After borrowing, the tens place is now 9.
- You cannot subtract 0 from 9, so no further borrowing is needed.
- Subtract: \(9 - 0 = 9\).

4. Subtract the hundreds place:
- Subtract: \(7 - 6 = 1\).

5. Combine the results:
$$
\begin{array}{r}
700 \\
- 605 \\
\hline
095 \\
\end{array}
$$

Answer for b:
$$
\boxed{95}
$$

---

#### Problem c:
$$
200 - 180
$$

1. Align the numbers by place value:
$$
\begin{array}{r}
200 \\
- 180 \\
\hline
\end{array}
$$

2. Subtract the ones place:
- Subtract: \(0 - 0 = 0\).

3. Subtract the tens place:
- You cannot subtract 8 from 0, so you need to borrow 1 from the hundreds place.
- The 2 in the hundreds place becomes 1 (after borrowing), and the 0 in the tens place becomes 10.
- Now, subtract: \(10 - 8 = 2\).

4. Subtract the hundreds place:
- After borrowing, the hundreds place is now 1.
- Subtract: \(1 - 1 = 0\).

5. Combine the results:
$$
\begin{array}{r}
200 \\
- 180 \\
\hline
020 \\
\end{array}
$$

Answer for c:
$$
\boxed{20}
$$

---

#### Problem d:
$$
900 - 467
$$

1. Align the numbers by place value:
$$
\begin{array}{r}
900 \\
- 467 \\
\hline
\end{array}
$$

2. Subtract the ones place:
- You cannot subtract 7 from 0, so you need to borrow 1 from the tens place.
- The 0 in the tens place becomes 9 (after borrowing), and the 0 in the ones place becomes 10.
- Now, subtract: \(10 - 7 = 3\).

3. Subtract the tens place:
- After borrowing, the tens place is now 9.
- You cannot subtract 6 from 9, so you need to borrow 1 from the hundreds place.
- The 9 in the hundreds place becomes 8 (after borrowing), and the 9 in the tens place becomes 19.
- Now, subtract: \(19 - 6 = 13\).

4. Subtract the hundreds place:
- After borrowing, the hundreds place is now 8.
- Subtract: \(8 - 4 = 4\).

5. Combine the results:
$$
\begin{array}{r}
900 \\
- 467 \\
\hline
433 \\
\end{array}
$$

Answer for d:
$$
\boxed{433}
$$

---

#### Problem e:
$$
300 - 140
$$

1. Align the numbers by place value:
$$
\begin{array}{r}
300 \\
- 140 \\
\hline
\end{array}
$$

2. Subtract the ones place:
- Subtract: \(0 - 0 = 0\).

3. Subtract the tens place:
- You cannot subtract 4 from 0, so you need to borrow 1 from the hundreds place.
- The 3 in the hundreds place becomes 2 (after borrowing), and the 0 in the tens place becomes 10.
- Now, subtract: \(10 - 4 = 6\).

4. Subtract the hundreds place:
- After borrowing, the hundreds place is now 2.
- Subtract: \(2 - 1 = 1\).

5. Combine the results:
$$
\begin{array}{r}
300 \\
- 140 \\
\hline
160 \\
\end{array}
$$

Answer for e:
$$
\boxed{160}
$$

---

#### Problem f:
$$
800 - 584
$$

1. Align the numbers by place value:
$$
\begin{array}{r}
800 \\
- 584 \\
\hline
\end{array}
$$

2. Subtract the ones place:
- You cannot subtract 4 from 0, so you need to borrow 1 from the tens place.
- The 0 in the tens place becomes 9 (after borrowing), and the 0 in the ones place becomes 10.
- Now, subtract: \(10 - 4 = 6\).

3. Subtract the tens place:
- After borrowing, the tens place is now 9.
- You cannot subtract 8 from 9, so you need to borrow 1 from the hundreds place.
- The 8 in the hundreds place becomes 7 (after borrowing), and the 9 in the tens place becomes 19.
- Now, subtract: \(19 - 8 = 11\).

4. Subtract the hundreds place:
- After borrowing, the hundreds place is now 7.
- Subtract: \(7 - 5 = 2\).

5. Combine the results:
$$
\begin{array}{r}
800 \\
- 584 \\
\hline
216 \\
\end{array}
$$

Answer for f:
$$
\boxed{216}
$$

---

Final Answers:

$$
\boxed{354, 95, 20, 433, 160, 216}
$$