1Cademy - Multiplying $$-4.5(6.107)$$

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Procedure for Multiplying Decimals

Example

Multiplying $-4.5(6.107)$

To evaluate the multiplication of $-4.5$ and $6.107$ , we first determine the sign. Since the signs are different, the product will be negative. Next, we multiply the numbers as if they were whole numbers: $45 imes 6107 = 274{,}815$ . We then count the decimal places in the factors, which are $1$ and $3$ . We add these to find the number of decimal places for the product ( $1 + 3 = 4$ ). Placing the decimal point $4$ places from the right gives $27.4815$ . Applying the negative sign, the final answer is $-27.4815$ .

Updated 2026-05-02

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OpenStax Intermediate Algebra

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