Unit Conversions
Unit Conversions
Important Tips
Always write every number with its associated unit. Always include units in your calculation.
you can do the same kind of operations on units as you can on numbers using units as a guide to problem solving is called dimensional analysis Conversion factors are relationships between two units Conversion factors can be generated from equivalence statements (e.g. 1 inch = 2.54 cm) Arrange conversion factors so the starting unit is on the bottom of the first conversion factor
Conceptual Plan
given
unit
?
related unit given unit
=
desired
unit
given
unit
?
rgeilvaetenduunnitit?dreelsaitreedd
unit unit
=
desired
unit
Systematic Approach to Problem Solving
Convert 5.70 L to cubic inches
Sort Information Strategize
Given: Desired:
Conceptual Plan
5.70 in.3
L
mL
cm3
in3
Relationships:
1 mL = 1 cm3, 1 mL = 10-3 L 1 in. = 2.54 cm.
Follow the conceptual plan to solve the problem
1 mL 1 cm3 Solution: 5.70 L ? 10-3 L ? 1 mL ?
1 in. 3 2.54 cm
3
=
347.835
in.3
Sig. figs. and round
Round
347.835 in.3 = 348 in.3 (3 sig. fig.)
Check
units are correct; number makes sense: in.3 ................
................
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