Find the value of `893648+8937 xx 122+8937 xx 230.`
Text Solution
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The correct Answer is:
To solve the problem `893648 + 8937 × 122 + 8937 × 230`, we can use the distributive property of multiplication over addition. Here’s the step-by-step solution:
### Step 1: Identify the common factor
Notice that both terms `8937 × 122` and `8937 × 230` have `8937` as a common factor. We can factor it out.
### Step 2: Apply the distributive property
Using the distributive property, we can rewrite the expression as:
\[ 893648 + 8937 \times (122 + 230) \]
### Step 3: Simplify inside the parentheses
Now, we need to calculate the sum inside the parentheses:
\[ 122 + 230 = 352 \]
### Step 4: Rewrite the expression
Now we can rewrite our expression as:
\[ 893648 + 8937 \times 352 \]
### Step 5: Calculate the multiplication
Next, we will calculate \( 8937 \times 352 \):
\[ 8937 \times 352 = 3145824 \]
### Step 6: Add the results
Now we will add \( 893648 \) and \( 3145824 \):
\[ 893648 + 3145824 = 4039472 \]
### Final Answer
Thus, the value of \( 893648 + 8937 \times 122 + 8937 \times 230 \) is:
\[ \boxed{4039472} \]
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