Solve using short cut methods: `54xx35`

Answer

To solve the multiplication of \(54 \times 35\) using shortcut methods, we can break it down into simpler steps. Here’s the step-by-step solution:

### Step 1: Break down the numbers
We can express \(54\) as \(50 + 4\). So we rewrite the multiplication as:
\[ 54 \times 35 = (50 + 4) \times 35 \]

### Step 2: Use the distributive property
Now we can apply the distributive property:
\[ (50 + 4) \times 35 = 50 \times 35 + 4 \times 35 \]

### Step 3: Calculate each part
Now we calculate each multiplication separately.

1. **Calculate \(50 \times 35\)**:
\[ 50 \times 35 = 50 \times (30 + 5) = 50 \times 30 + 50 \times 5 \]
- \(50 \times 30 = 1500\)
- \(50 \times 5 = 250\)
- So, \(50 \times 35 = 1500 + 250 = 1750\)

2. **Calculate \(4 \times 35\)**:
\[ 4 \times 35 = 140 \]

### Step 4: Add the results
Now, we add the results from the two parts:
\[ 1750 + 140 = 1890 \]

### Final Answer
Thus, the final answer for \(54 \times 35\) is:
\[ \boxed{1890} \]