Solve using short cut methods: `47xx999`

Answer

To solve the problem \( 47 \times 999 \) using a shortcut method, we can break it down step by step.

### Step-by-Step Solution:

1. **Rewrite the Numbers**:
- We can express \( 47 \) as \( 40 + 7 \).
- We can express \( 999 \) as \( 1000 - 1 \).

So, we rewrite the expression:
\[ 47 \times 999 = (40 + 7) \times (1000 - 1) \]

2. **Apply the Distributive Law**:
- Using the distributive property, we can expand the expression:
\[ (40 + 7) \times (1000 - 1) = 40 \times 1000 + 40 \times (-1) + 7 \times 1000 + 7 \times (-1) \]

3. **Calculate Each Term**:
- Calculate \( 40 \times 1000 \):
\[ 40 \times 1000 = 40000 \]
- Calculate \( 40 \times (-1) \):
\[ 40 \times (-1) = -40 \]
- Calculate \( 7 \times 1000 \):
\[ 7 \times 1000 = 7000 \]
- Calculate \( 7 \times (-1) \):
\[ 7 \times (-1) = -7 \]

4. **Combine the Results**:
- Now, we combine all the results:
\[ 40000 - 40 + 7000 - 7 \]

5. **Perform the Addition and Subtraction**:
- First, combine \( 40000 \) and \( 7000 \):
\[ 40000 + 7000 = 47000 \]
- Then, subtract \( 40 \):
\[ 47000 - 40 = 46960 \]
- Finally, subtract \( 7 \):
\[ 46960 - 7 = 46953 \]

6. **Final Result**:
- Thus, the final answer is:
\[ 47 \times 999 = 46953 \]