Question

challenge:

1. \\(4,876 \times 27\\)

Explanation:

Set up the multiplication

We need to calculate the product of the two numbers:

$$ 4,876 \times 27 $$

Apply the distributive property

Using the Distributive Property knowledge point, we can split the multiplier \(27\) into \(20 + 7\):

$$ 4,876 \times (20 + 7) = (4,876 \times 20) + (4,876 \times 7) $$

Multiply by the ones digit

Multiply \(4,876\) by \(7\):

$$ 4,876 \times 7 = 34,132 $$

Multiply by the tens digit

Multiply \(4,876\) by \(20\):

$$ 4,876 \times 20 = 97,520 $$

Add the partial products

Sum the two partial products to find the final result:

$$ 34,132 + 97,520 = 131,652 $$

Answer:

\(131,652\)