Multiplying by Powers of Ten
To multiply by powers of ten, the decimal point is moved to the right according to the number of zeros in the multiplier:
- For ( zero), move the decimal point place to the right to obtain .
- For ( zeros), move the decimal point places to the right, adding one zero to obtain .
- For ( zeros), move the decimal point places to the right, adding two zeros to obtain .
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
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A payroll administrator needs to calculate the total budget for 1,000 temporary employees who are each paid a $15.75 daily travel stipend. To use the shortcut for multiplying a decimal by a power of ten, how many places and in which direction should the administrator move the decimal point in the stipend amount?
A warehouse manager is calculating the total weight of 1,000 identical components. To use the shortcut for multiplying a decimal weight by a power of ten, the manager must move the decimal point to the ____.
An inventory manager is calculating the total value of bulk shipments for a quarterly audit. Match each batch size with the correct shortcut rule for shifting the decimal point in the unit price to find the total value.
A facilities manager is calculating the total length of 100 identical cables, each measuring a decimal number of meters. True or False: According to the shortcut for multiplying a decimal by a power of ten, the manager should move the decimal point in the cable's length two places to the left to find the total.
A logistics coordinator is calculating the total weight of a bulk shipment of 1,000 units. To find the total weight using the shortcut for multiplying a decimal by a power of ten, arrange the following steps in the correct order.
Shortcut for Bulk Weight Calculations
Standardizing Bulk Pricing Verification
Standardizing Quick-Calculation Procedures for Billing
A quality control technician is multiplying a precise measurement of 0.4 millimeters by 100 to calculate the total length of a bulk component. According to the shortcut procedure for multiplying a decimal by a power of ten, what is the required step if there are not enough digits to complete the two-place shift to the right?
Multiplying by Powers of Ten
Multiplying by Powers of Ten
During an accounting software orientation, an instructor explains that the system handles multiplication by powers of ten by shifting digits within the place-value system. According to the logic of the decimal shortcut, what is the specific effect on the digits of a number when the decimal point is moved one position to the right?
Multiplying by Powers of Ten
Learn After
An electrician is calculating the total length of wire needed for various phases of a commercial installation. Each standard spool contains exactly meters of wire. Match the total number of spools being used to the correct total length of wire in meters.
A warehouse clerk is processing a bulk shipment of specialized industrial sensors. Each sensor has a mass of exactly grams. To find the total mass of a crate containing sensors, the clerk multiplies by . Based on the rules for multiplying by powers of ten, what is the correct total mass of the sensors in the crate?
A procurement officer is ordering units of a specialized lubricant for a vehicle fleet. Each unit contains exactly liters. To find the total volume, the officer multiplies by by moving the decimal point two places to the right. The total volume of the order is ____ liters.
A quality control technician is calculating the total volume of a batch of sample vials. Each vial contains exactly milliliters of a testing reagent. Arrange the steps in the correct order to calculate the total volume using the rule for multiplying by powers of ten.
A manufacturing technician is calculating the total volume of identical containers of industrial solvent. Each container holds exactly gallons. To find the total volume, the technician moves the decimal point in two places to the right, calculating a total of gallons.