Learn Before
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 .
0
1
Tags
OpenStax
Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Algebra
Related
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
Learn After
An inventory manager needs to calculate the total value change for a stock of items that have depreciated. The calculation requires multiplying a unit value change of by a quantity multiplier of . Recalling the rules for multiplying signed decimals, what is the exact product of ?
A payroll clerk is calculating a budget adjustment for a project. The hourly labor rate has changed by dollars, and the total time logged is hours. To find the total adjustment, the clerk must calculate the product of . Match each aspect of this multiplication problem with its corresponding rule or numerical result.
A quality control technician is calculating a volume adjustment using the expression . The product of this calculation will be negative because the factors have different signs.
A logistics coordinator is calculating an inventory adjustment by multiplying by . Arrange the following steps in the correct order to determine the final product of using the standard procedure for multiplying decimals.
An auditor is reviewing a corporate spreadsheet and must evaluate the expression to find a final adjustment value. Recalling the standard procedure for decimal multiplication, you multiply 1079 by 812 to get 876148. Since the original factors have different signs and a combined total of four decimal places, the final product is ____.