Evaluate: `42 times (-97)`

Answer

To evaluate the expression `42 times (-97)`, we will follow these steps:

### Step 1: Identify the numbers
We have two numbers:
- The positive integer: 42
- The negative integer: -97

**Hint:** Remember that multiplying a positive number by a negative number will yield a negative result.

### Step 2: Multiply the absolute values
Now, we will multiply the absolute values of the numbers:
- Multiply 42 by 97.

**Calculation:**
```
42
× 97
------
```
We will break it down:
1. Multiply 42 by 7 (the units digit of 97):
- \( 7 \times 2 = 14 \) (write down 4 and carry over 1)
- \( 7 \times 4 = 28 \) and adding the carry over 1 gives us 29.

So, \( 42 \times 7 = 294 \).

2. Next, multiply 42 by 9 (the tens digit of 97):
- \( 9 \times 2 = 18 \) (write down 8 and carry over 1)
- \( 9 \times 4 = 36 \) and adding the carry over 1 gives us 37.

So, \( 42 \times 9 = 378 \), but since it's in the tens place, we write it as 3780.

**Hint:** When multiplying by a digit in the tens place, remember to add a zero at the end of the result.

### Step 3: Add the results
Now, we add the two results:
```
294
+ 3780
------
```
Aligning the numbers:
```
294
+3780
------
4074
```

**Hint:** Make sure to align the numbers correctly when adding.

### Step 4: Apply the negative sign
Since we are multiplying a positive number (42) by a negative number (-97), the final result will be negative:
- Therefore, the result is \(-4074\).

### Final Answer:
\[ 42 \times (-97) = -4074 \]

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