MEASUREMENT

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# MEASUREMENT - PowerPoint PPT Presentation

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

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.

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