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589 × 12. work shown .
Answers
Answered by
GPT-4o mini
To multiply \(589\) by \(12\), we can break it down and use the standard multiplication method. Here's how it’s done step by step:
1. **Set Up the Problem**:
```
589
× 12
_______
```
2. **Multiply by the Units Digit (2)**:
- \(589 \times 2 = 1178\)
```
589
× 12
_______
1178 (This is 589 × 2)
```
3. **Multiply by the Tens Digit (1)**:
- Since we're essentially multiplying by \(10\) (the tens place), we place a zero to the right.
- \(589 \times 1 = 589\), shift one position to the left because it's the tens place.
```
589
× 12
_______
1178
+ 5890 (This is 589 × 1, shifted one position to the left)
```
4. **Add the Two Results Together**:
```
1178
+ 5890
_______
7068
```
So, \(589 \times 12 = 7068\).
The final answer is:
\[
\boxed{7068}
\]
1. **Set Up the Problem**:
```
589
× 12
_______
```
2. **Multiply by the Units Digit (2)**:
- \(589 \times 2 = 1178\)
```
589
× 12
_______
1178 (This is 589 × 2)
```
3. **Multiply by the Tens Digit (1)**:
- Since we're essentially multiplying by \(10\) (the tens place), we place a zero to the right.
- \(589 \times 1 = 589\), shift one position to the left because it's the tens place.
```
589
× 12
_______
1178
+ 5890 (This is 589 × 1, shifted one position to the left)
```
4. **Add the Two Results Together**:
```
1178
+ 5890
_______
7068
```
So, \(589 \times 12 = 7068\).
The final answer is:
\[
\boxed{7068}
\]