Lecture 10: Dimensional Analysis and Prefix Review

A set of fill-in-the-blank flashcards covering dimensional analysis, prefixes, base and derived units, and example conversions from the lecture notes.

Dimensional analysis is used to convert __ units.

derived

The prefix for 10^3 is __.

kilo

The prefix for 10^-3 is __.

milli

The prefix for 10^9 is __.

giga

The prefix for 10^12 is __.

tera

0.01 equals 10^-2; the prefix is __.

centi

0.001 equals 10^-3; the prefix is __.

milli

0.000001 equals 10^-6; the prefix is __.

micro

0.000000001 equals 10^-9; the prefix is __.

nano

0.000000000001 equals 10^-12; the prefix is __.

pico

10^2 equals 100; the prefix is __.

hecto

10^1 equals 10; the prefix is __.

deka

10^-1 equals 0.1; the prefix is __.

deci

10^-2 equals 0.01; the prefix is __.

centi

10^-6 equals 0.000001; the prefix is __.

micro

10^-9 equals 0.000000001; the prefix is __.

nano

10^-15 equals 0.000000000000001; the prefix is __.

femto

10^-9 is represented by the symbol __.

n

5.12 nm = __ m.

5.12 × 10^-9

In dimensional analysis, the 1 goes in front of the __ unit when a prefix is used.

prefixed

The scaling factor (e.g., 10^-9) is placed in front of the __ base unit.

base

Two-step conversion: Step 1 – convert to the unit; Step 2 – convert to the final prefix.

base

50 ng = __ fg.

5.0 × 10^7

The memorized prefixes include k, d, c, m, and __.

nano

The symbol for the prefix femto is __.

f

The prefix for 10^3 is __.

kilo

To compare 7.11 × 10^1 km and 5.88 × 10^6 cm, first convert both to the base unit __.

meters

Among 7.11 × 10^1 km and 5.88 × 10^6 cm, the larger quantity is __.

7.11 × 10^1 km

6.1 × 10^2 μs equals __ s.

6.1 × 10^-4

92 ms equals __ s.

9.2 × 10^-2

Which is larger, 6.1 × 10^2 μs or 92 ms? __.

92 ms

874,338 g is equal to __ g in scientific notation.

8.74338 × 10^5

6.40 × 10^8 mg equals __ g.

6.40 × 10^5

1 cm equals __ m.

10^-2

1 m equals __ cm.

100

1 m = 100 cm; this shows how prefixes arise from the scaling factor of __.

10

1 mm equals __ m.

10^-3

1 m equals __ mm.

1000

1 μm equals __ m.

10^-6

(1 μm)^2 equals __ m^2.

10^-12

1.5 μm^2 equals __ m^2.

1.5 × 10^-12

1 km equals __ m.

10^3

(1 km)^3 equals __ m^3.

10^9

1.4 × 10^9 km^3 equals __ m^3.

1.4 × 10^18

1 mm^3 equals __ m^3.

10^-9

1 hour = __ sec.

3600

1 mile = __ km.

1.609

70.0 miles/hour equals approximately __ km/sec.

0.0313

Numbers 3600 and 1.609 are __ numbers.

exact

70.0 has __ sig figs; final answer should have the same number of sig figs.

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