math 1: fractions, decimals, and percents

Question 1

pi is

Answer 1

irrational

Question 2

n√a is irrational, unless

Answer 2

a = b^n, where b is rational

Question 3

to compare a/b and c/d,

Answer 3

cross multiply

Question 4

(comparing a/b and c/d) if ad = bc, then

Answer 4

a/b = c/d

Question 5

(comparing a/b and c/d) ad > bc, then

Answer 5

a/b > c/d

Question 6

(comparing a/b and c/d) if ad

Answer 6

a/b

Question 7

if a/b is the fraction of the whole that satisfies some property, then 1 - a/b is the

Answer 7

fraction of the whole that does not satisfy it

Question 8

to do arithmetic with mixed numbers, just enter them into your calculator as

Answer 8

sums written in parentheses (e.g. 1 and 2/3→(1 + 2/3)

Question 9

is/of =

Answer 9

%/100

Question 10

an increase of a% followed by an increase of b% always results in a larger increase than a single increase of

Answer 10

(a + b)%

Question 11

similarly, a decrease of a% followed by a decrease of b% always results in a smaller decrease than a single decrease of

Answer 11

(a + b)%

Question 12

the percent increase of a quantity is

Answer 12

(the actual increase/the original amount) x 100%

Question 13

the percent decrease of a quantity is

Answer 13

(the actual decrease/ the original amount) x 100%

Question 14

to increase a number by r%, multiply it by

Answer 14

(1 + r)%

Question 15

to decrease a number by r%, multiply it by

Answer 15

(1 - r)%