TRANSCRIPT - INTEGER SHORT MULTIPLICATION
Multiply 934 by 6 ,
4 multiplied by 6 = 24
The 2 is carried over to the tens column
The 4 is placed in the units column ,
3 multiplied by 6 = 18
Add the 2 that was carried over so the answer becomes 20
The 2 is carried over to the hundreds column
The zero is placed in the tens column,
9 multiplied by 6 = 54
Add the 2 that was carried over so the answer becomes 56
The 5 is carried over to the thousands column
The 6 is placed in the hundreds column
934 multiplied by 6 = 5604
TRANSCRIPT - INTEGER SHORT DIVISION
8 Hundred and 8 divided by 6
6 divided into 8 = 1 remainder 2
The 2 is used with the next digit to make 20
6 divided into 20 = 3 remainder 2
The 2 is used with the next digit to make 28
6 divided into 28 = 4 remainder 4
808 / 6 = 134 r 4
TRANSCRIPT - INTEGER ADDITION - 998 Add 465
Layout the sum in with a hundreds column, a tens column and a units column.,
Starting with the unit’s column.
8 + 5 = 13 carry the 1 to the tens columns and place the 3 in the units column.
9+6+1 = 16 carry 1 to the hundreds column and place the 6 in the tens column.
9+4+1 = 14 carry 1 to the thousands column and place the 4 in the hundreds column.
TRANSCRIPT - INTEGER SUBTRACTION - 942 subtract 262
Layout the sum in with a hundreds column, a tens column and a units column.
Starting with the units column.
2 minus 2 = 0
4 minus 6 you cannot do because you will have a negative number, so you borrow a 1 from the next column, so the 9 in the hundreds column becomes 8 and place the 1 next to the 4 so the number is now 14
14 minus 6 = 8
Now working on the hundreds column
8 minus 2 = 6 942 – 262 = 680
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Finals
a
ai
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an
ang
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ong
ou
e
ei
en
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er
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in
ing
iong
iu
u
ü
ua
uo
ui
uai
uan
un
uang
uu
ue
uan
un
ya
yan
you
yan
yin
yang
ying
yong
yu
yue
yuan
yun
wu
wa
wo
wai
wan
wen
wang
weng
Initials
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ah
i
ow
ahn
ahng
Initials
aw
oong
oh
Initials
uh
ay
un
ung
ar
Initials
ee/ uh
ya
yaow
yan
yahng
yeh
een
eeng
yoong
you
Initials
oo
wa
waw
way
why
won
un
wahng
yoo
oo-weh
ywan
yewn
Initials
Initials
1
b
baw
ba
白
bai
bao
ban
bang
b
bo
b
bei
ben
beng
b
b
b
b
2
p
paw
pa
pai
pao
pan
pang
p
po
pou
p
pei
pen
peng
p
p
p
p
3
m
maw
ma
mai
mao
man
mang
m
mo
mou
m
me
mei
men
meng
m
m
m
m
4
f
faw
fa
fan
fang
f
fo
fou
f
fei
粉
fen
feng
f
f
f
f
5
d
duh
da
dai
dao
dan
dang
d
dou
d
de
dei
den
deng
d
d
d
d
6
t
tuh
ta
tai
tao
tan
tang
t
tou
t
te
tan
teng
t
t
t
t
7
n
nuh
na
nai
nao
nan
nang
n
nou
n
ne
nei
nan
neng
n
n
n
n
8
l
luh
la
lai
lao
蓝
lan
lang
l
llou
l
lei
lan
leng
l
l
绿
lü
l
l
9
z
dzuh
za
zai
zao
zan
zang
紫
zi
z
zou
z
ze
zei
zan
zeng
z
z
z
z
10
c
tsuh
ca
cai
cao
can
cang
c
cou
c
ce
can
ceng
c
c
c
c
11
s
suh
sa
sai
sao
san
sang
s
sou
s
se
san
seng
s
s
s
s
12
zh
jir
zha
zhai
zhao
zhan
zhang
zh
棕zong
zhou
zh
zhe
zhei
zhan
zheng
zh
zh
zh
zh
13
ch
chir
cha
chai
chao
chan
chang
ch
chou
ch
che
chan
cheng
ch
ch
ch
ch
14
sh
shir
sha
shai
shao
shan
shang
sh
shou
sh
she
shei
shan
sheng
sh
sh
sh
sh
15
r
rj
rao
ran
r
r
re
ran
reng
r
r
r
r
16
j
gee
j
j
j
j
j
j
17
q
chee
q
q
q
q
q
q
18
x
she
x
x
x
x
x
x
19
g
guh
ga
gai
gao
gan
gang
g
gao
g
ge
gei
gan
geng
g
g
g
g
20
k
khu
ka
kai
kao
kan
kang
k
kao
k
ke
kei
kan
keng
k
k
k
k
21
h
huh
ha
hai
hao
han
hang
h
红
hong
hao
h
he
黑hei
han
heng
h
h
灰
hui
h
h
黄
huang
22
y
ee
y
y
y
y
y
y
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