6.1 Interpretations of Divison

when we defined division a/b we said that the divisor, B, cannot be 0, why

translate a division problem with divisor 0 into equivalent multiplication problem

how many groups: a/b = ? is equivalent to solving

? x B = A

the problem a/b is equivalent to the multiplication problem...

? x b = a , with the number of groups unknown,

measurement model of division or the subtractive model of division

a/b means the total numbers of bs that are in a

what three standard ways is division denoted

all three are read as A divided by B

a/b = ? is equivalent to the multiplication problem

b x ? = a with the number in each group unknown

commutative property of multiplication: ? x b= b x ?, thus solving ? x b=a is equivalent to solving

b x ? = a, which is equivalent to solving a/b=? with the how many in each groups

what are the two interpretations of division

how many groups how may in each group

what is the how many groups interpretation

if A and B are non negative numbers and B is not 0, A/b means the number of groups that are formed when A objects are divided into groups with B objects in each group

what is the how many in each group interpreTation

if a and b are non negative numbers and b is not 0, then a/b means the number of objects that are in each group when a objects are divided equally among b groups

what is the how many groups interpretation sometimes called

measurement model of division or the subtractive model of divisIon

this interpretation is often called

partitive model of division sharing model of division

figure 6.5 shows that in how many in each group

the divisor is the number of groups and the quotient is the number of objects in each group. the dividend is the number of objects to be divided

figure 6.3 shows that in how many groups division problems,

the divisor is the number of objects in each group and the quotient is the number of groups. the dividend is the number of objects to be divided

what is a dividend and a divisor

the number A is called the dividend, the number B is the divisor

what is a quotient

the result of A/b

if you can't determine what kind of divisIon problem a problem is, what may help

to reformulate the problem in terms of multiplicatioin

why do we get the same answer to divisIon problems regardless of interpreTation used

view division as multiplication w/ an unknown factor. the key lies in the commutative property of multipication