What should be subtracted from the product 3001x101 to get 300311?

Options

A. 2790
B. 2090
C. 2970
D. 270

Answer

To solve the problem, we need to determine what should be subtracted from the product of 3001 and 101 to obtain 300311. Let's break this down step by step.

### Step 1: Calculate the product of 3001 and 101
We start by multiplying the two numbers:
\[ 3001 \times 101 \]

Calculating this:
\[ 3001 \times 101 = 3001 \times (100 + 1) = 3001 \times 100 + 3001 \times 1 \]
\[ = 300100 + 3001 = 303101 \]

### Step 2: Set up the equation
Now we know:
\[ 303101 - x = 300311 \]
where \(x\) is the number we need to find.

### Step 3: Rearrange the equation to solve for \(x\)
To find \(x\), we can rearrange the equation:
\[ x = 303101 - 300311 \]

### Step 4: Perform the subtraction
Now we perform the subtraction:
\[ 303101 - 300311 = 2790 \]

### Conclusion
Thus, the number that should be subtracted from the product \(3001 \times 101\) to get \(300311\) is:
\[ \boxed{2790} \]