Evaluate: `68xx45+22xx39`

Answer

To evaluate the expression `68 x 45 + 22 x 39`, we will follow these steps:

### Step 1: Multiply 68 by 45
- We will perform the multiplication:
- \( 68 \times 45 \)
- Break it down:
- \( 8 \times 5 = 40 \) (write down 0, carry over 4)
- \( 6 \times 5 = 30 \) plus the carry 4 gives \( 34 \) (write down 34)
- Now, multiply by 4 (which is actually 40):
- \( 8 \times 4 = 32 \) (write down 2, carry over 3)
- \( 6 \times 4 = 24 \) plus the carry 3 gives \( 27 \) (write down 27)
- Now, add the two results:
- Align the results:
```
340
+ 2720
------
3060
```
- So, \( 68 \times 45 = 3060 \).

### Step 2: Multiply 22 by 39
- Now, we will perform the multiplication:
- \( 22 \times 39 \)
- Break it down:
- \( 2 \times 9 = 18 \) (write down 8, carry over 1)
- \( 2 \times 3 = 6 \) plus the carry 1 gives \( 7 \) (write down 7)
- Now, multiply by 3 (which is actually 30):
- \( 2 \times 3 = 6 \) (write down 6, carry over 0)
- \( 2 \times 0 = 0 \)
- Now, add the two results:
- Align the results:
```
78
+660
------
858
```
- So, \( 22 \times 39 = 858 \).

### Step 3: Add the two products
- Now, we will add the results from Step 1 and Step 2:
- \( 3060 + 858 \)
- Align the numbers:
```
3060
+ 858
------
```
- Start adding from the right:
- \( 0 + 8 = 8 \)
- \( 6 + 5 = 11 \) (write down 1, carry over 1)
- \( 0 + 8 + 1 = 9 \)
- \( 3 + 0 = 3 \)
- So, the final sum is:
```
3918
```

### Final Answer
The final result of the expression `68 x 45 + 22 x 39` is **3918**.

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