`587 xx 99=?`

Options

A. 57213
B. 58513
C. 58113
D. 56413

Answer

To solve the multiplication of \( 587 \times 99 \), we can use the distributive property of multiplication. Here’s how we can break it down step by step:

### Step 1: Rewrite 99
We can express \( 99 \) as \( 100 - 1 \). This makes our multiplication easier.

\[ 587 \times 99 = 587 \times (100 - 1) \]

### Step 2: Apply the Distributive Property
Now we can apply the distributive property, which states that \( A \times (B - C) = A \times B - A \times C \).

\[ 587 \times (100 - 1) = 587 \times 100 - 587 \times 1 \]

### Step 3: Calculate Each Part
Now we will calculate each part separately:

1. Calculate \( 587 \times 100 \):
\[ 587 \times 100 = 58700 \]

2. Calculate \( 587 \times 1 \):
\[ 587 \times 1 = 587 \]

### Step 4: Subtract the Results
Now, we will subtract the second result from the first:

\[ 58700 - 587 = 58113 \]

### Final Answer
Thus, the result of \( 587 \times 99 \) is:

\[ \boxed{58113} \]

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