Dimensional Analysis for Nursing Calculations

1. Question 1
   • A method that requires every calculation to use whole numbers
   • A method for estimating a dose from memory
   • A process of rounding all measurements before calculating
   • A problem-solving technique that converts measurements to equivalent units using a fractional form of 1
2. Question 2
   • To replace equivalent ratios with decimal estimates
   • To eliminate the need to identify units
   • To obtain the desired unit of administration
   • To make every numerator larger than its denominator
3. Question 3
   • The final rounded number
   • The cancellation lines
   • The largest numerical value
   • The goal unit
4. Question 4
   • It removes the need for multiplication
   • It expresses a relationship between equivalent units
   • It changes the actual quantity being measured
   • It guarantees that the answer is a whole number
5. Question 5
   • Make an inaccurate conversion appear reasonable
   • Replace the goal unit with any convenient unit
   • Convert between equivalent units without changing the measured quantity
   • Remove all units before the calculation begins
6. Question 6
   • $\text{goal unit} = \text{given number} + \text{conversion ratio}$
   • $\text{goal unit} = \text{given number} \times \text{conversion ratio}$
   • $\text{given number} = \text{final rounded number} \div \text{goal unit}$
   • $\text{conversion ratio} = \text{given number} - \text{goal unit}$
7. Question 7
   • $\frac{\text{equivalent quantity}}{\text{equivalent quantity}}$
   • $\frac{\text{same unit}}{\text{same unit}}$ only
   • $\frac{\text{goal unit}}{\text{given number}}$
   • $\frac{\text{equivalent quantity}}{\text{different quantity}}$
8. Question 8
   • Round before selecting equivalencies
   • Always place the goal unit in the denominator
   • Identify the goal unit before completing the equation
   • Start with the largest available unit
9. Question 9
   • It changes the quantity but not the unit
   • It changes the unit expression while preserving the equivalent quantity
   • It eliminates the need for a given measurement
   • It can be used only when the numerator is larger
10. Question 10
    • Every unit appears twice in the numerator
    • The numerical answer is written before the equation
    • The conversion ratio is omitted
    • The final unit matches the goal unit
11. Question 11
    • A diagnosis, an intervention, and a reassessment
    • A numerator, a denominator, and an unrelated unit
    • A memorized decimal, estimation, and rounding
    • A given measurement, equivalent ratios, and unit cancellation
12. Question 12
    • Only in the first denominator
    • On a diagonal in successive factors
    • Outside the equation
    • Side by side in the same numerator
13. Question 13
    • To indicate that the number should be doubled
    • To show that the unit has been eliminated from the calculation
    • To show where rounding must occur
    • To identify the largest unit in the problem
14. Question 14
    • Unit Y
    • Unit X
    • Both units
    • Neither unit
15. Question 15
    • Unit X will automatically convert to unit Y
    • The denominator should be deleted
    • The numerator must always contain a number of 1
    • Matching units in the same position do not cancel through multiplication
16. Question 16
    • $\text{starting unit} \times \frac{1}{\text{new unit}}$
    • $\text{starting unit} \times \frac{\text{new unit}}{1}$
    • $\text{starting unit} \times \frac{\text{new unit}}{\text{starting unit}}$
    • $\text{starting unit} \times \frac{\text{starting unit}}{\text{new unit}}$
17. Question 17
    • Either arrangement expresses the relationship, but the placement must support the needed cancellation
    • The units become unrelated after interchange
    • Interchanging them always doubles the result
    • The denominator has no mathematical role
18. Question 18
    • When no unit conversion is needed
    • When both units must remain in the final answer
    • When unit Y needs to cancel from a given quantity
    • When unit X needs to cancel from a given quantity
19. Question 19
    • Only the numerical factors
    • The goal unit, along with the calculated numerical value
    • Only the original unit
    • Every unit used in the setup
20. Question 20
    • Check that no units remain anywhere in the equation
    • Check that all numbers are identical
    • Check that every unit appears only in the numerator
    • Check that every canceled unit appears once above and once below a multiplication line
21. Question 21
    • The goal unit was identified correctly
    • The ratio represented a fractional form of 1
    • Unit X was not canceled
    • Unit Y was placed in the final numerator
22. Question 22
    • It replaces the need for equivalent relationships
    • It determines which numerical value must be rounded
    • It ensures that the numerator is always larger
    • It provides a visual way to arrange matching units for cancellation
23. Question 23
    • $\frac{1\ \text{unit X}}{4\ \text{unit X}}$
    • $\frac{1\ \text{unit X}}{4\ \text{unit Y}}$
    • $\frac{4\ \text{unit X}}{1\ \text{unit Y}}$
    • $\frac{4\ \text{unit Y}}{4\ \text{unit X}}$
24. Question 24
    • $\frac{a\ \text{unit X}}{b\ \text{unit Y}} = \frac{c\ \text{unit X}}{d\ \text{unit Y}}$
    • $a\ \text{unit X} \times b\ \text{unit Y} = c\ \text{unit X}$
    • $a\ \text{unit X} + b\ \text{unit Y} = c\ \text{unit X}$
    • $a\ \text{unit X} - b\ \text{unit Y} = d$
25. Question 25
    • Multiply by an equivalent ratio arranged so unit X cancels and unit Y remains
    • Replace unit X with unit Y without changing the numerical expression
    • Divide by the goal unit symbol without using an equivalency
    • Add the numerical values of units X and Y
26. Question 26
    • $0.6\ \text{unit Y}$
    • $15\ \text{unit Y}$
    • $8\ \text{unit Y}$
    • $3\ \text{unit Y}$
27. Question 27
    • $20\ \text{unit Y} \times \frac{1\ \text{unit X}}{5\ \text{unit Y}}$
    • $20\ \text{unit Y} \times \frac{1\ \text{unit Y}}{5\ \text{unit X}}$
    • $20\ \text{unit Y} \div \frac{1\ \text{unit Y}}{5\ \text{unit X}}$
    • $20\ \text{unit Y} \times \frac{5\ \text{unit Y}}{1\ \text{unit X}}$
28. Question 28
    • Which number is visually larger
    • Which units must cancel and which unit must remain
    • The order in which the units were learned
    • Whether the calculation uses addition
29. Question 29
    • The final unit is omitted because the number is sufficient
    • The ratio is selected solely because it contains a 1
    • The ratio changes the unit while preserving equivalence
    • The starting and final units are unrelated
30. Question 30
    • Unit X is positioned to cancel, while unit Y remains
    • The ratio does not represent an equivalency
    • Both units are automatically canceled
    • Unit Y is positioned to cancel, while unit X remains

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