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Multiplying
To multiply by , we observe that the factors have different signs, meaning the product will be negative. Ignoring the decimal points, we multiply to get . Since each factor has decimal places, the product must have decimal places. Placing the decimal point places from the right yields . Applying the correct sign gives the final product of .
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
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Multiplying
Procedure for Multiplying a Decimal by a Power of Ten
An inventory manager is calculating the total cost of 15.5 units of raw material priced at $4.25 per unit. Arrange the steps of the decimal multiplication procedure in the correct order to find the total cost.
An inventory manager is calculating the total cost of 15.5 units of raw material priced at $4.25 per unit. Arrange the steps of the decimal multiplication procedure in the correct order to find the total cost.
A logistics manager is calculating the total weight of a shipment of 12.5 crates, where each crate weighs 4.25 kilograms. When multiplying 12.5 by 4.25 using the standard procedure for decimals, which rule must be used to determine the placement of the decimal point in the final product?
A project estimator is calculating the total cost of 14.5 square yards of carpeting priced at $22.75 per square yard. When arranging these numbers in a vertical format to multiply them, the estimator must align the numbers by their decimal points.
Decimal Placement in Professional Estimating
A payroll clerk is training a new hire on the standard operating procedure for manually calculating employee reimbursements involving decimals. Match each step of the decimal multiplication procedure with the specific rule that must be followed.
A construction estimator is calculating the total cost of raw materials by multiplying a unit weight (a decimal) by the price per kilogram (another decimal). According to the standard procedure for decimal multiplication, the number of decimal places in the final product must be equal to the ____ of the decimal places in the individual factors.
Auditing Manual Decimal Calculations
Standard Operating Procedure for Decimal Multiplication
Multiplying
Multiplying
A billing coordinator is multiplying two decimals to calculate a client's total fee. After multiplying the numbers as if they were whole numbers, the coordinator needs to place the decimal point in the final product. According to the standard procedure, what is the correct starting point and direction for counting the decimal places?
Evaluating a Multiplication of a Decimal and a Whole Number