Chapter 1: the basics Flashcards

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1
Q

Giga

A

billion

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2
Q

mega

A

million

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3
Q

kilo

A

thousand

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4
Q

hector

A

hundred

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5
Q

deca

A

ten

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6
Q

deci

A

tenth

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7
Q

centi

A

hundredth

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8
Q

milli

A

thousandth

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9
Q

micro

A

millionth

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10
Q

nano

A

billionth

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11
Q

for a numerical answer to be comprehensive, it requires a…

A

Unit

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12
Q

Increase by a factor

A

to multiply by that number
ex: increase by a factor of 3 means 3 times larger.

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13
Q

Decrease by a factor

A

to divide by that number
ex: decrease by a factor of 2 means one-half.

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14
Q

Horizontal axis
runs __ to __

A

x-axis
side to side

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15
Q

Vertical axis
runs __ to __

A

y-axis
up and down

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16
Q

go
make
kyle
hector
danny
dave
clean
my
messy
nissan

A

giga
mega
kilo
hecta
deca
deci
centi
milli
micro
nano

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17
Q

Two items that are not associated

A

unrelated
ex; hair color is unrelated to shoe size

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18
Q

Directly related

A

two items that are associated such that when one item increases, the other increases, as well.
ex: skill is directly related to experience

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19
Q

Directly proportional

A

two items that are associated. When one item increases, the other increases, too.
ex: clothing is directly proportional to one’s weight

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20
Q

related

A

two items that are associated or affiliated. However the relationship between the items does not have to be specified
ex: weight is related to dieting.

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21
Q

proportional

A

two items that are related. The relationship between the items is not determined.
ex; Exam score is proportional to studying.

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22
Q

inversely related

A

two items are associated that when one item increases, the other decreases
ex: Gold score is inversely related to skill

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23
Q

inversely proportional

A

two items that when one of the items increase the other will decrease as a result.
ex: Grades in school are inversely proportional to partying.

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24
Q

reciprocal relationship

A

Special form of inverse relationship. when two numbers with a reciprocal relationship are multiplied together, the result is one.
ex: 2 and 1/2 are reciprocals.

25
Q

G & n

A

Giga & nano
billions and billionths

26
Q

millions & millionths

A

mega & micro
M & µ

27
Q

kilo & milli

A

k & m
thousand & thousandths

28
Q

h & c

A

hundreds and hundredths
hecto & centi

29
Q

da & d

A

tens & tenths
deca & deci

30
Q

positive exponent

A

value greater than 10
ex: 1,000,000 + 1.0 x 10^6

31
Q

negative exponent

A

value less than 1
ex: 0.0000000124 = 1.24 x 10^-7

32
Q

exponent of zero

A

value between 1 and 10
ex: 1742 +1.742 x 10^3

33
Q

units of length

A

cm, mm, feet, inches

34
Q

units of area

A

cm² , ft²

35
Q

units of volume

A

cm³, ft³

36
Q

1000 mg to g

A

1 g
divide by 1,000

37
Q

1 L to mL

A

1,000 mL
multiply by 1,000

38
Q

160 cm to mm

A

1600 mm
multiply by 10

39
Q

14 km to m

A

14,000 m
multiply by 1,000

40
Q

100 g to kg

A

0.01 kg
divide by 1,000

41
Q

250 m to km

A

0.25
divide by 1,000

42
Q

56 cm (<,>,=) 6 m?

A

<, 56 cm is less than 6 meters.
56 cm/100 = 0.56 meters

43
Q

7 g (<,>,=) 698 mg ?

A

> , 7 g is greater than 698 mg
7 g*1,000= 7,000

44
Q

How are the size of a tree and its age related?
a. inversely
b. directly
c. unrelated

A

B. directly

45
Q

how is the age of a loaf related to its freshness?
a. inversely
b. directly
c. unrelated

A

inversely

46
Q

how are the height of a person and the color of his car related?
a. inversely
b. directly
c. unrelated

A

c. unrelated

47
Q

which of the following is an appropriate unit for area?
A. seconds
b. yards
c. inches
d. cm^3
e. square yards

A

E. square yards. area is measures in units of length squared

48
Q

List the following in INCREASING order
A. mega
B. micro
C. millie
D. hecto
E. deca
F. deci

A

B,C,F,E,D,A or micro, millie, deci, deca, hecto, mega

49
Q

List the following in decreasing order
A. nano
B. centi
C. giga
D. kilo
E. hecto
F. micro

A

C,D,E,B,F,A or giga, kilo, hecto, centi, micro, nano

50
Q

how many milliliters are in 8 liters
a. 1/8
b. 8
c. 80
d. 800
e. 8,000

A

E. 8,000
1 liter =1,000 milliliters
8x1,000= 8,000

51
Q

how many centimeters are in 3 meters
a. 1/300
b. 1/3
c. 3
d. 300
e. 3,000

A

D. 300
there are 100 cm in 1 m
3x100=300 cm

52
Q

how many kilometers are in 3,000?
1/300
1/3
3
300
3,000

A

3

53
Q

what is the reciprocal of 100?
0.1
100
0.2
0.01
1/50

A

1/100 or 0.01

54
Q

what is the reciprocal of 1/8?
80
10
1
8
71

A

8

55
Q

how many hertz is 3 MHz
3,000,000
3,000
333
0.003

A

3,000,000

56
Q

how many mL are contained in a jar filled with 5 liters of fluid?
5
5,000
500
0.005

A

5,000

57
Q

how much bigger is a thousand than ten

A

a thousand is 100 times greater than ten

58
Q

how much bigger is a billion than a million

A

a billion is a 1,000 times greater than a million

59
Q

how much smaller is a hundred than a thousand?

A

a hundred is one-tenth of a thousand