What is product of 876 and 679?

Options

A. 558724
B. 584724
C. 594804
D. 562480

Answer

To find the product of 876 and 679, we can use the traditional multiplication method. Here’s a step-by-step breakdown of the calculation:

### Step 1: Set up the multiplication
Write the numbers one below the other:
```
876
x 679
```

### Step 2: Multiply the units place
Multiply the last digit of the second number (9) by the entire first number (876):
```
876
x 679
------
7884 (This is 876 * 9)
```

### Step 3: Multiply the tens place
Now, multiply the second digit of the second number (7) by the first number (876) and remember to shift one position to the left (add a zero):
```
876
x 679
------
7884 (This is 876 * 9)
6132 (This is 876 * 7, shifted one position to the left)
```

### Step 4: Multiply the hundreds place
Next, multiply the first digit of the second number (6) by the first number (876) and shift two positions to the left (add two zeros):
```
876
x 679
------
7884 (This is 876 * 9)
6132 (This is 876 * 7, shifted one position to the left)
5256 (This is 876 * 6, shifted two positions to the left)
```

### Step 5: Add all the results together
Now, add all the results:
```
7884
+ 6132
+ 5256
--------
594984
```

### Final Answer
The product of 876 and 679 is **594984**.

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