Fractions, Decimals & Percents

Question 1

what position is the 2 in:

200,000,000,000

Answer 1

hundred billions

Question 2

what position is the 2 in:

120,000,000,000

Answer 2

ten billions

Question 3

what position is the 2 in:

112,000,000,000

Answer 3

one billions

Question 4

what position is the 2 in:

111,200,000,000

Answer 4

hundred millions

Question 5

what position is the 2 in:

100,020,000,000

Answer 5

ten millions

Question 6

what position is the 2 in:

100,002,000,000

Answer 6

one millions

Question 7

what position is the 2 in:

100,000,200,000

Answer 7

hundred thousands

Question 8

what position is the 2 in:

100,000,020,000

Answer 8

ten thousands

Question 9

what position is the 2 in:

100,000,002,000

Answer 9

one thousands

Question 10

what position is the 2 in:

100,000,000,200

Answer 10

hundreds

Question 11

what position is the 2 in:

100,000,000,020

Answer 11

tens

Question 12

what position is the 2 in:

100,000,000,002

Answer 12

units or ones

Question 13

what position is the 2 in:

100,000,000,000.2000

Answer 13

tenths

Question 14

what position is the 2 in:

100,000,000,000.0200

Answer 14

hundredths

Question 15

what position is the 2 in:

100,000,000,000.0020

Answer 15

thousandths

Question 16

what position is the 2 in:

100,000,000,000.0002

Answer 16

ten thousandths

Question 17

.8347

the 8 in fraction form

Answer 17

8/10

Question 18

.8347

the 3 in fraction form

Answer 18

3/100

Question 19

.8347

the 4 in fraction form

Answer 19

4/1000

Question 20

.8347

the 7 in fraction form

Answer 20

7/10,000

Question 21

10³

Answer 21

1000

Question 22

1000 (in power of 10)

Answer 22

10³

Question 23

10²

Answer 23

100

Question 24

100 (in power of 10)

Answer 24

10²

Question 25

10¹

Answer 25

10

Question 26

10⁰

Answer 26

1

Question 27

10^-1

Answer 27

.1

Question 28

.1 (in power of 10)

Answer 28

10^-1

Question 29

10^-2

Answer 29

.01

Question 30

.01 (in power of 10)

Answer 30

10^-2

Question 31

10^-3

Answer 31

.001

Question 32

.001

Answer 32

10^-3

Question 33

last digit shortcut what is the units digit of (7)²(9)²(3)³

Answer 33

seperately find the units digit of each individual number raised to it's power. multiply those numbers together and use the units digit of that answer

Question 34

as the numberator goes up, the fraction:

Answer 34

increases

Question 35

as the denominator goes up the fraction:

Answer 35

decreases

Question 36

adding the same number to both the numerator and the denominator:

Answer 36

brings the fraction closer to one

Question 37

adding fractions

Answer 37

increases the value

Question 38

subtracting fractions

Answer 38

decreases value

Question 39

multiplying fractions

Answer 39

decreases value

Question 40

dividing fractions

Answer 40

increases value

Question 41

percent change (increase or decrease)

Answer 41

change/original = x/100

Question 42

percent of original

Answer 42

new/original = x/100

Question 43

if a quantity is increased by x percent, then the new quantity is:

Answer 43

(100 + x)% of the original formula: original x (1 + %increase/100)

Question 44

if a quantiry is decreased by x percent then the new quantity is

Answer 44

(100 - x)% of the orignal formula: original x (1 - %decrease/100)

Question 45

simple interest 5000 invested for 6 mo at an interest rate of 7% in simple interest

Answer 45

principle x rate x time principle =5000 rate = 7% or .07 time = 6mo or .05 years =175

Question 46

compound interest 5000 is invested for 1 year at a rate of 8% compounded quarterly

Answer 46

P(1 + r/n)^nt p = principal (5000 r = rate (8% or .08) n = number of times per year (4) t = number of years (1) =412

Question 47

chemical mixtures

Answer 47

use mixture chart ## Footnote _original change new_ first ingredient second incredient total solution original + change = new

Question 48

percents and weighted averages

Answer 48

set up a mixture chart use mixture chart _type one type 2 total_ first ingredient other incredients total product original + change = new

Question 49

when a question asks what percent of x is y

Answer 49

y/x

Question 50

When a question asks: y is what percent of x

Answer 50

y/x

Question 51

you can compute the percent change using the ration f any two of the following: (for data sufficiency)

Answer 51

original, change and new

Question 52

A makes up 60% of the whole. B makes up the rest. A grows by 5% and the whole grows by 7 percent. What percent did B grow? (equation)

Answer 52

(.60 \* .05) + (.40 \* x) = .07