Measurement
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MEASUREMENT. Unit Conversions. To the left or right?. A. SI Prefix Conversions. 1.Find the difference between the exponents of the two prefixes. 2.Move the decimal that many places. kilo-. mega-. M. k. 10 6. 10 3. deci-. BASE UNIT. d. ---. 10 0. 10 -1. centi-. c. 10 -2.

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MEASUREMENT

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MEASUREMENT

Unit Conversions


To the left

or right?

A. SI Prefix Conversions

1.Find the difference between the exponents of the two prefixes.

2.Move the decimal that many places.


kilo-

mega-

M

k

106

103

deci-

BASE UNIT

d

---

100

10-1

centi-

c

10-2

milli-

m

10-3

micro-

10-6

nano-

n

10-9

pico-

p

10-12

A. SI Prefix Conversions

Prefix

Symbol

Factor

move left

move right


1) 20 cm = ______________ m

2) 0.032 L = ______________ mL

3) 45 m = ______________ nm

4) 805 dm = ______________ km

A. SI Prefix Conversions

0.2

32

45,000

0.0805


NUMBER

=

UNIT

A. SI Prefix Conversions

0.532

532 m = _______ km

NUMBER

UNIT


B. Dimensional Analysis

  • The “Factor-Label” Method

    • Units, or “labels” are canceled, or “factored” out


B. Dimensional Analysis

  • Steps:

    1. Identify starting & ending units.

    2. Line up conversion factors so units cancel.

    3. Multiply all top numbers & divide by each bottom number.

    4. Check units & answer.


B. Dimensional Analysis

  • Lining up conversion factors:

= 1

1 in = 2.54 cm

2.54 cm 2.54 cm

1 =

1 in = 2.54 cm

1 in 1 in


qt

mL

B. Dimensional Analysis

  • How many milliliters are in 1.00 quart of milk?

1 L

1.057 qt

1000 mL

1 L

1.00 qt

= 946 mL


lb

cm3

B. Dimensional Analysis

  • You have 1.5 pounds of gold. Find its volume in cm3 if the density of gold is 19.3 g/cm3.

1 cm3

19.3 g

1 kg

2.2 lb

1000 g

1 kg

1.5 lb

= 35 cm3


in3

L

B. Dimensional Analysis

  • How many liters of water would fill a container that measures 75.0 in3?

1 L

1000 cm3

(2.54 cm)3

(1 in)3

75.0 in3

= 1.23 L


cm

in

B. Dimensional Analysis

5) Your European hairdresser wants to cut your hair 8.0 cm shorter. How many inches will he be cutting off?

8.0 cm

1 in

2.54 cm

= 3.1 in


cm

yd

B. Dimensional Analysis

6) Taft football needs 550 cm for a 1st down. How many yards is this?

1 ft

12 in

1 yd

3 ft

1 in

2.54 cm

550 cm

= 6.0 yd


m

pieces

B. Dimensional Analysis

7) A piece of wire is 1.3 m long. How many 1.5 cm pieces can be cut from this wire?

1 piece

1.5 cm

100 cm

1 m

1.3 m

= 86 pieces


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