What is Math Fundamentals?

Question 1

0.01=

Answer 1

1/100

1%

Question 2

0.1

Answer 2

1/10

10%

Question 3

0.2

Answer 3

1.5

20%

Question 4

0.25

Answer 4

1/4

25%

Question 5

0.33

Answer 5

1/3

33 1/3%

Question 6

0.4

Answer 6

2/5

40%

Question 7

0.5

Answer 7

1/2

50%

Question 8

0.6

Answer 8

3/5

60%

Question 9

Digit

Answer 9

the numbers that make up other numbers {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Question 10

Numbers

Answer 10

made up of their a digit or collection of digits

Question 11

integers

Answer 11

numbers that have no fractional or decimal part

can be positive or negative

zero is an integer :)

Question 12

positive or negative

Answer 12

negative are less than zero, positive are greater than zero

Question 13

even or odd

Answer 13

even integers are divisible by 2. odd integers are not

only integers can be either even or odd– no fractions or decimals

Question 14

zero

Answer 14

-even
-0 plus another number is equal to the other number
-0 multiplied by another number is 0
-you cannot divide by 0
-is a multiple of every number

Question 15

consecutive integers

Answer 15

integers listed in order of value without any integers missing in between them

fractions and decimals cannot be consecutive

can always be written algebraically, with the smallest number in the set as ‘n’

Question 16

absolute value

Answer 16

the distance of a number from zero

distance cannot be negative, so always a positive integer

Question 17

rule of divisibility

2

Answer 17

an integer is divisible by 2 if its units digit is divisible by 2

Question 18

rule of divisibility

3

Answer 18

an integer is divisible by three if the sum of its digits is divisible by 3

Question 19

rule of divisibility

4

Answer 19

an integer is divisible by 4 if its last two digits form a number that is divisible by four

form–not sum

Question 20

rule of divisibility

5

Answer 20

an integer is divisible by 5 if its units digit is either 0 or 5

Question 21

rule of divisibility

6

Answer 21

an integer is divisible by 6 if it’s divisible by both 2 and 3

Question 22

rule of divisibility

7

Answer 22

no special rule

Question 23

rule of divisibility

8

Answer 23

an integer is divisble by 8 if its last three digits form a number that is divisible by 8

Question 24

rule of divisibility

9

Answer 24

an integer is divisible by 9 if the sum of its digits is divisible by 9

Question 25

remainder

Answer 25

the integer left over after division by one integer that is not divisible by another

Question 26

factor

Answer 26

a number that divides evenly into a particular integer; factor pairs always begin with 1 and end with the integer itself

Question 27

multiples

Answer 27

multiples of an integer are all the integers that are the product of that integer and another integer– zero is a multiple of every number

Question 28

prime numbers

Answer 28

an integer that has only 2 factors– itself and 1

Question 29

order of operations

Answer 29

PEMDAS
parentheses
exponents
multiplication
division
addition
subtraction

Question 30

fractions

Answer 30

an expression of the number of parts out of a whole

fractions express a relationship between numbers, not actual amounts

Question 31

numerator

Answer 31

numerator– how many ‘parts’

Question 32

denominator

Answer 32

denominator–indicates how many parts equal a whole

Question 33

adding and subtracting fractions

Answer 33

1. find common denominator
2. expand into equivalent fractions*
3. add or subtract the numerators, which now have the same denominator

*multiply the numerator and denominator by x, where x is the number of

Question 34

Bowtie Method

Answer 34

a technique to add and subtract fractions with different denominators:
1. multiply the denominators of each fraction (gives you a common denominator)
2. multiply each denominator by the numerator of the other fraction
3. add or subtract per the expression

first described p 296

Question 35

multiplying fractions

Answer 35

1. multiply the first numerator by the second numerator
2. multiply the first denomiator by the second denominator
3. reduce the expression

you can “reduce diagonally”– meaning you don’t have to be in the same f

Question 36

dividing fractions

Answer 36

1. multiply numerator and denominator by the reciprocal of the divisor

if a numerator or denominator is itself a fraction, rewrite horizontally

7/(1/4) = 7 ÷ 1/4– then you would multiply the reciprocal, so 7/1 x 4/1 = 28

Question 37

comparing fractions

Answer 37

variant bowtie method:
1. multiply the denominators and numerators of two different fractions.
2. the fraction with the greater product in the numerator is the greater fraction

Question 38

comparing more than two fractions

Answer 38

strategy:
1. use variant bowtie method to compare two fractions at a time

Question 39

mixed number

Answer 39

a number that is represented as an integer and a fraction, like 2 2/5

Question 40

mixed number –> fraction

Answer 40

1. multiply the denominator of the fraction by the integer
2. add the result to the numerator
3. put the sum over the denominator

Question 41

fraction –> decimal

Answer 41

to turn a fraction into its decimal equivalent, multply the numerator by the denominator

Question 42

percentage

Answer 42

a particular kind of fraction that always has 100 as the denominator

Question 43

decimals –> percentages

Answer 43

move the decimal point two places to the right

0.8 = 80%

Question 44

translation:

percent

Answer 44

/100

Question 45

translation:

is

Answer 45

=

Question 46

translation:

of, times, product

Answer 46

x

Question 47

translation:

what (or any unknown value)

Answer 47

any variable (x, k, b)

Question 48

defintion:

percentage increase/decrease

Answer 48

the percentage by which something has increased or decreased

Question 49

formula

percent change=

Answer 49

difference/original x 100

given two numbers, usually:

difference– the result when the lesser number is subtracted from the greater number
original– whichever number you started with

Question 50

laws

associative laws

Answer 50

when you are adding or multiplying a group of numbers, you can regroup the numbers in any way you’d like

(a+b) + (c+d) = a + (b+c+d)

Question 51

distributive law

Answer 51

multiplying a number by a group of numbers added together is the same as doing each multiplication seperately

a(b-c)=ab - ac

Question 52

terminating decimals

Answer 52

a decimal that ends (i.e., one that is not repeating)

1/4 is a terminating decimal, but 1/3 is a repeating decimal.

Question 53

comparing decimals

Answer 53

example:
0.00099
0.00100
-
099
100
-
strategy:
1. line up the numbers by their decimal points
2. fill in the missing zeroes
3. compare