3 Unit 3
Subtraction
Topic A: Subtraction
Subtraction takes an amount away from another amount. The result of subtraction is called the difference.
The minus sign ─ means to subtract.
says nine minus three equals six or nine take away three is six The difference between 9 and 3 is 6.
Subtraction is the opposite of addition. Look at the examples:
|
5 + 4 = 9 4 + 5 = 9 |
9 – 4 = 5 9 – 5 = 4 |
8 + 3 11 |
11 ─ 3 8 |
|
|
|
3 |
11 |
|
|
|
+ 8 11 |
─ 8 3 |
Subtraction facts are a tool that you will use to do subtraction questions.
Exercise OneCheck out your subtraction facts by doing this exercise as
quickly as you can. Use your addition facts to help find the subtraction facts. Check your work using the answer key at the end of the exercise. Then, make a list of any subtraction facts you do not know or which are slow for you and practice them.
|
a)5 |
b)3 |
c)7 |
d)1 |
|
─ 4 |
─ 2 |
─ 7 |
─ 0 |
|
e)8 |
f)9 |
g)4 |
h)6 |
|
─ 2 |
─ 7 |
─ 3 |
─ 1 |
|
i)7 |
j)2 |
k)7 |
l)8 |
|
─ 2 |
─ 2 |
─ 6 |
─ 7 |
|
m)0 |
n)7 |
o)3 |
p)6 |
|
─ 0 |
─ 1 |
─ 0 |
─ 6 |
|
q)4 |
r)6 |
s)9 |
t)8 |
|
─ 2 |
─ 2 |
─ 5 |
─ 6 |
|
u)5 |
v)8 |
w)1 |
x)7 |
|
─ 3 |
─ 1 |
─ 1 |
─ 0 |
|
y)9 |
z)3 |
aa) |
2 |
bb) |
7 |
|
─ 9 |
─ 1 |
|
─ 1 |
|
─ 4 |
|
Answers to Exercise One |
|||||||||||||
|
a) |
1 |
b) |
1 |
c) |
0 |
d) |
1 |
e) |
6 |
f) |
2 |
g) |
1 |
|
h) |
5 |
i) |
5 |
j) |
0 |
k) |
1 |
l) |
1 |
m) |
0 |
n) |
6 |
|
o) |
3 |
p) |
0 |
q) |
2 |
r) |
4 |
s) |
4 |
t) |
2 |
u) |
2 |
|
v) |
7 |
w) |
0 |
x) |
7 |
y) |
0 |
z) |
2 |
aa) |
1 |
bb) |
3 |
Exercise TwoCheck out your subtraction facts by doing this exercise as
quickly as you can. Use your addition facts to help find the subtraction facts. Check your work using the answer key at the end of the exercise. Then, make a list of any subtraction facts you do not know or which are slow for you and practice them.
|
a)8 |
b)9 |
c)7 |
d)6 |
|
─ 4 |
─ 1 |
─ 5 |
─ 4 |
|
e)9 |
f)5 |
g)2 |
h)6 |
|
─ 4 |
─ 2 |
─ 0 |
─ 3 |
|
i)8 |
j)6 |
k)4 |
l)9 |
|
─ 3 |
─ 5 |
─ 4 |
─ 0 |
|
m)7 |
n)5 |
o)9 |
p)3 |
|
─ 3 |
─ 5 |
─ 8 |
─ 3 |
|
q)5 |
r)9 |
s)4 |
t)8 |
|
─ 0 |
─ 2 |
─ 1 |
─ 5 |
|
u)5 |
v)9 |
w)6 |
x)8 |
|
─ 1 |
─ 3 |
─ 0 |
─ 8 |
|
y)9 |
z)4 |
aa) |
8 |
bb) |
7 |
|
─ 6 |
─ 0 |
|
─ 0 |
|
─ 4 |
|
a) |
4 |
b) |
8 |
c) |
2d) 2e) 5f) 3g) 2 |
||||||
|
h) |
3 |
i) |
5 |
j) |
1k) 0l) 9m) 4n) 0 |
||||||
|
o) |
1 |
p) |
0 |
q) |
5 |
r) |
7 |
s) |
3 |
t)3 |
u) 4 |
|
v) |
6 |
w) |
6 |
x) |
0 |
y) |
3 |
z) |
4 |
aa) 8 |
bb) 3 |
Answers to Exercise Two
Exercise ThreeCheck out your subtraction facts by doing this exercise as
quickly as you can. Use your addition facts to help find the subtraction facts. Check your work using the answer key at the end of the exercise. Then, make a list of any subtraction facts you do not know or which are slow for you – practice the.
|
a)8 |
b)5 |
c)2 |
d)4 |
|
─ 4 |
─ 5 |
─ 1 |
─ 3 |
|
e)3 |
f)6 |
g)7 |
h)9 |
|
─ 3 |
─ 3 |
─ 6 |
─ 2 |
|
i)9 |
j)5 |
k)8 |
l)4 |
|
─ 0 |
─ 4 |
─ 8 |
─ 2 |
|
m)7 |
n)2 |
o)6 |
p)9 |
|
─ 7 |
─ 0 |
─ 1 |
─ 8 |
|
q)6 |
r)3 |
s)9 |
t)8 |
|
─ 4 |
─ 1 |
─ 9 |
─ 7 |
|
u)3 |
v)7 |
w)8 |
x)9 |
|
─ 2 |
─ 5 |
─ 3 |
─ 5 |
|
y)8 |
z)5 |
aa) |
7 |
bb) |
6 |
|
─ 6 |
─ 3 |
|
─ 1 |
|
─ 5 |
|
cc) |
4 |
dd) |
1 |
ee) |
0 |
ff) |
8 |
|
|
─ 1 |
|
─ 1 |
|
─ 0 |
|
─ 0 |
|
gg) |
9 |
hh) |
6 |
ii)9 |
jj) |
7 |
|
|
─ 7 |
|
─ 6 |
─ 6 |
|
─ 4 |
|
kk) |
9 |
ll) |
8 |
mm) |
7 |
nn) |
5 |
|
|
─ 3 |
|
─ 5 |
|
─ 2 |
|
─ 1 |
|
Answers to Exercise Three |
|||||||||||||
|
a) |
4 |
b) |
0 |
c) |
1 |
d) |
1 |
e) |
0 |
f) |
3 |
g) |
1 |
|
h) |
7 |
i) |
9 |
j) |
1 |
k) |
0 |
l) |
2 |
m) |
0 |
n) |
2 |
|
o) |
5 |
p) |
1 |
q) |
2 |
r) |
2 |
s) |
0 |
t) |
1 |
u) |
1 |
|
v) |
2 |
w) |
5 |
x) |
4 |
y) |
2 |
z) |
2 |
aa) |
6 |
bb) |
1 |
|
cc) |
3 |
dd) |
0 |
ee) |
0 |
ff) |
8 |
gg) |
2 |
hh) |
0 |
ii) |
3 |
|
jj) 3kk) 6ll) 3mm) 5nn) 4 |
|||||||||||||
Exercise FourCheck out your subtraction facts by doing this exercise as
quickly as you can. Use your addition facts to help find the subtraction facts. Check your work using the answer key at the end of the exercise. Then, make a list of any subtraction facts you do not know or which are slow for you and practice them.
|
a)11 |
b)10 |
c)12 |
d)8 |
|
─ 7 |
─ 4 |
─ 7 |
─ 6 |
|
e)10 |
f)7 |
g)9 |
h)9 |
|
─ 8 |
─ 4 |
─ 3 |
─ 5 |
|
i)7 |
j)10 |
k)12 |
l)10 |
|
─ 3 |
─ 9 |
─ 8 |
─ 7 |
|
m)8 |
n)11 |
o)10 |
p)12 |
|
─ 3 |
─ 4 |
─ 6 |
─ 5 |
|
q)10 |
r)12 |
s)8 |
t)11 |
|
─ 4 |
─ 9 |
─ 5 |
─ 2 |
|
u)11 |
v)12 |
w)10 |
x)11 |
|
─ 8 |
─ 6 |
─ 2 |
─ 6 |
|
Answers to Exercise Four |
|||||||||||||
|
a) |
4 |
b) |
6 |
c) |
5 |
d) |
2 |
e) |
2 |
f) |
3 |
g) |
6 |
|
h) |
4 |
i) |
4 |
j) |
1 |
k) |
4 |
l) |
3 |
m) |
5 |
n) |
7 |
|
o) |
4 |
p) |
7 |
q) |
6 |
r) |
3 |
s) |
3 |
t) |
9 |
u) |
3 |
|
v) |
6 |
w) |
8 |
x) |
5 |
|
|
|
|
|
|
|
|
Exercise FiveCheck out your subtraction facts by doing this exercise as
quickly as you can. Use your addition facts to help find the subtraction facts. Check your work using the answer key at the end of the exercise. Then, make a list of any subtraction facts you do not know or which are slow for you and practice them.
|
a)12 |
b)9 |
c)11 |
d)10 |
|
─ 3 |
─ 6 |
─ 9 |
─ 5 |
|
e)8 |
f)10 |
g)12 |
h)7 |
|
─ 8 |
─ 3 |
─ 4 |
─ 6 |
|
i)9 |
j)11 |
k)9 |
l)11 |
|
─ 8 |
─ 5 |
─ 7 |
─ 3 |
|
m)10 |
n)9 |
o)12 |
p)11 |
|
─ 2 |
─ 9 |
─ 6 |
─ 2 |
|
q)12 |
r)11 |
s)10 |
t)8 |
|
─ 9 |
─ 6 |
─ 4 |
─ 4 |
|
u)9 |
v)11 |
w)12 |
x)8 |
|
─ 4 |
─ 8 |
─ 2 |
─ 5 |
|
Answers to Exercise Five |
|||||||||||||
|
a) |
9 |
b) |
3 |
c) |
2 |
d) |
5 |
e) |
0 |
f) |
7 |
g) |
8 |
|
h) |
1 |
i) |
1 |
j) |
6 |
k) |
2 |
l) |
8 |
m) |
8 |
n) |
0 |
|
o) |
6 |
p) |
9 |
q) |
3 |
r) |
5 |
s) |
6 |
t) |
4 |
u) |
5 |
|
v) |
3 |
w) |
10 |
x) |
3 |
|
|
|
|
|
|
|
|
Exercise SixCheck out your subtraction facts by doing this exercise as
quickly as you can. Use your addition facts to help find the subtraction facts. Check your work using the answer key at the end of the exercise. Then, make a list of any subtraction facts you do not know or which are slow for you and practice them.
|
a)11 |
b)12 |
c)10 |
d)8 |
|
─ 7 |
─ 6 |
─ 9 |
─ 3 |
|
e)12 |
f)10 |
g)9 |
h)7 |
|
─ 5 |
─ 4 |
─ 7 |
─ 3 |
|
i)8 |
j)11 |
k)6 |
l)7 |
|
─ 4 |
─ 9 |
─ 5 |
─ 2 |
|
m)10 |
n)9 |
o)12 |
p)9 |
|
─ 7 |
─ 6 |
─ 8 |
─ 2 |
|
q)11 |
r)10 |
s)12 |
t)7 |
|
─ 4 |
─ 2 |
─ 7 |
─ 5 |
|
u)11 |
v)12 |
w)10 |
x)7 |
|
─ 6 |
─ 9 |
─ 3 |
─ 6 |
|
y)10 |
z)8 |
aa) |
11 |
bb) |
9 |
|
─ 6 |
─ 2 |
|
─ 5 |
|
─ 1 |
|
cc) |
10 |
dd) 12 |
ee) |
9 |
ff) |
11 |
|
|
─ 5 |
─ 3 |
|
─ 4 |
|
─ 3 |
|
Answers to Exercise Six |
|||||||||||||
|
a) |
4 |
b) |
6 |
c) |
1 |
d) |
5 |
e) |
7 |
f) |
6 |
g) |
2 |
|
h) |
4 |
i) |
4 |
j) |
2 |
k) |
1 |
l) |
5 |
m) |
3 |
n) |
3 |
|
o) |
4 |
p) |
7 |
q) |
7 |
r) |
8 |
s) |
5 |
t) |
2 |
u) |
5 |
|
v) |
3 |
w) |
7 |
x) |
1 |
y) |
4 |
z) |
6 |
aa) |
6 |
bb) |
8 |
|
cc) |
5 |
dd) |
9 |
ee) |
5 |
ff) |
8 |
|
|
|
|
|
|
Need more practice?
Practice your subtraction facts using dominoes. Place all the dominoes face down. Flip over two dominoes and subtract.
Exercise SevenCheck out your subtraction facts by doing this exercise as
quickly as you can. Use your addition facts to help find the subtraction facts. Check your work using the answer key at the end of the exercise. Then, make a list of any subtraction facts you do not know or which are slow for you and practice them.
|
a)13 |
b)10 |
c)9 |
d)5 |
|
─ 5 |
─ 1 |
─ 4 |
─ 4 |
|
e)9 |
f)16 |
g)11 |
h)6 |
|
─ 9 |
─ 8 |
─ 7 |
─ 3 |
|
i)18 |
j)7 |
k)13 |
l)8 |
|
─ 9 |
─ 2 |
─ 7 |
─ 6 |
|
m)4 |
n)14 |
o)2 |
p)17 |
|
─ 3 |
─ 5 |
─ 0 |
─ 8 |
|
q)14 |
r)16 |
s)12 |
t)3 |
|
─ 6 |
─ 7 |
─ 4 |
─ 0 |
|
u)5 |
v)13 |
w)10 |
x)8 |
|
─ 2 |
─ 6 |
─ 7 |
─ 8 |
|
y)13 |
z)7 |
aa) |
15 |
bb) |
12 |
|
─ 9 |
─ 5 |
|
─ 7 |
|
─ 9 |
|
Answers to Exercise Seven |
|||||||||||||
|
a) |
8 |
b) |
9 |
c) |
5 |
d) |
1 |
e) |
0 |
f) |
8 |
g) |
4 |
|
h) |
3 |
i) |
9 |
j) |
5 |
k) |
6 |
l) |
2 |
m) |
1 |
n) |
9 |
|
o) |
2 |
p) |
9 |
q) |
8 |
r) |
9 |
s) |
8 |
t) |
3 |
u) |
3 |
|
v) |
7 |
w) |
3 |
x) |
0 |
y) |
4 |
z) |
2 |
aa) |
8 |
bb) |
3 |
Exercise EightCheck out your subtraction facts by doing this exercise as
quickly as you can. Use your addition facts to help find the subtraction facts. Check your work using the answer key at the end of the exercise. Then, make a list of any subtraction facts you do not know or which are slow for you and practice them.
|
a)12 |
b)6 |
c)10 |
d)11 |
|
─ 3 |
─ 2 |
─ 4 |
─ 9 |
|
e)1 |
f)8 |
g)12 |
h)11 |
|
─ 0 |
─ 1 |
─ 5 |
─ 2 |
|
i)3 |
j)11 |
k)14 |
l)8 |
|
─ 2 |
─ 8 |
─ 7 |
─ 3 |
|
m)15 |
n)9 |
o)7 |
p)11 |
|
─ 9 |
─ 7 |
─ 1 |
─ 5 |
|
q)12 |
r)10 |
s)8 |
t)6 |
|
─ 7 |
─ 8 |
─ 7 |
─ 5 |
|
u)9 |
v)7 |
w)10 |
x)9 |
|
─ 6 |
─ 3 |
─ 0 |
─ 1 |
|
y)16 |
z)9 |
aa) |
9 |
bb) |
8 |
|
─ 7 |
─ 2 |
|
─ 0 |
|
─ 4 |
|
Answers to Exercise Eight |
|||||||||||||
|
a) |
9 |
b) |
4 |
c) |
6 |
d) |
2 |
e) |
1 |
f) |
7 |
g) |
7 |
|
h) |
9 |
i) |
1 |
j) |
3 |
k) |
7 |
l) |
5 |
m) |
6 |
n) |
2 |
|
o) |
6 |
p) |
6 |
q) |
5 |
r) |
2 |
s) |
1 |
t) |
1 |
u) |
3 |
|
v) |
4 |
w) |
10 |
x) |
8 |
y) |
9 |
z) |
7 |
aa) |
9 |
bb) |
4 |
Exercise NineCheck out your subtraction facts by doing this exercise as
quickly as you can. Use your addition facts to help find the subtraction facts. Check your work using the answer key at the end of the exercise. Then, make a list of any subtraction facts you do not know or which are slow for you and practice them.
|
a)1 |
b)7 |
c)12 |
d)5 |
|
─ 1 |
─ 6 |
─ 3 |
─ 0 |
|
e)11 |
f)4 |
g)8 |
h)14 |
|
─ 3 |
─ 1 |
─ 0 |
─ 9 |
|
i)6 |
j)12 |
k)9 |
l)2 |
|
─ 6 |
─ 8 |
─ 3 |
─ 1 |
|
m)17 |
n)6 |
o)13 |
p)4 |
|
─ 9 |
─ 0 |
─ 4 |
─ 2 |
|
q)2 |
r)10 |
s)7 |
t)5 |
|
─ 2 |
─ 3 |
─ 7 |
─ 1 |
|
u)15 |
v)3 |
w)16 |
x)9 |
|
─ 8 |
─ 1 |
─ 9 |
─ 5 |
|
y)13 |
z)7 |
aa) |
12 |
bb) |
4 |
|
─ 8 |
─ 4 |
|
─ 6 |
|
─ 0 |
|
Answers to Exercise Nine |
|||||||||||||
|
a) |
0 |
b) |
1 |
c) |
9 |
d) |
5 |
e) |
8 |
f) |
3 |
g) |
8 |
|
h) |
5 |
i) |
0 |
j) |
4 |
k) |
6 |
l) |
1 |
m) |
8 |
n) |
6 |
|
o) |
9 |
p) |
2 |
q) |
0 |
r) |
7 |
s) |
0 |
t) |
4 |
u) |
7 |
|
v) |
2 |
w) |
7 |
x) |
4 |
y) |
5 |
z) |
3 |
aa) |
6 |
bb) |
4 |
Exercise TenCheck out your subtraction facts by doing this exercise as
quickly as you can. Use your addition facts to help find the subtraction facts. Check your work using the answer key at the end of the exercise. Then, make a list of any subtraction facts you do not know or which are slow for you and practice them.
|
a)15 |
b)3 |
c)6 |
d)11 |
|
─ 6 |
─ 3 |
─ 4 |
─ 4 |
|
e)5 |
f)10 |
g)6 |
h)14 |
|
─ 5 |
─ 2 |
─ 1 |
─ 8 |
|
i)12 |
j)8 |
k)4 |
l)7 |
|
─ 3 |
─ 2 |
─ 4 |
─ 0 |
|
m)11 |
n)5 |
o)8 |
p)10 |
|
─ 6 |
─ 3 |
─ 5 |
─ 9 |
|
q)16 |
r)9 |
s)7 |
t)4 |
|
─ 7 |
─ 8 |
─ 2 |
─ 3 |
|
u)13 |
v)2 |
w)9 |
x)17 |
|
─ 6 |
─ 2 |
─ 2 |
─ 8 |
|
y)14 |
z)1 |
aa) |
12 |
bb) |
3 |
|
─ 5 |
─ 0 |
|
─ 8 |
|
─ 1 |
|
cc) |
8 |
dd) 10 |
ee) |
13 |
ff) |
7 |
|
|
─ 6 |
─ 6 |
|
─ 4 |
|
─ 4 |
|
Answers to Exercise Ten |
|||||||||||||
|
a) |
9 |
b) |
0 |
c) |
2 |
d) |
7 |
e) |
0 |
f) |
8 |
g) |
5 |
|
h) |
6 |
i) |
9 |
j) |
6 |
k) |
0 |
l) |
7 |
m) |
5 |
n) |
2 |
|
o) |
3 |
p) |
1 |
q) |
9 |
r) |
1 |
s) |
5 |
t) |
1 |
u) |
7 |
|
v) |
0 |
w) |
7 |
x) |
9 |
y) |
9 |
z) |
1 |
aa) |
4 |
bb) |
2 |
|
cc) |
2 |
dd) |
4 |
ee) |
9 |
ff) |
3 |
|
|
|
|
|
|
Exercise ElevenCheck out your subtraction facts by doing this exercise
as quickly as you can. Use your addition facts to help find the subtraction facts. Check your work using the answer key at the end of the exercise. Then, make a list of any subtraction facts you do not know or which are slow for you and practice them.
|
a)18 |
b)1 |
c)3 |
d)14 |
|
─ 9 |
─ 1 |
─ 0 |
─ 7 |
|
e)8 |
f)12 |
g)6 |
h)15 |
|
─ 3 |
─ 5 |
─ 4 |
─ 7 |
|
i)11 |
j)5 |
k)6 |
l)10 |
|
─ 3 |
─ 1 |
─ 0 |
─ 9 |
|
m)5 |
n)11 |
o)4 |
p)15 |
|
─ 3 |
─ 7 |
─ 0 |
─ 9 |
|
q)16 |
r)7 |
s)10 |
t)6 |
|
─ 8 |
─ 5 |
─ 2 |
─ 3 |
|
u)13 |
v)9 |
w)2 |
x)8 |
|
─ 8 |
─ 4 |
─ 0 |
─ 5 |
|
y)10 |
z)5 |
aa) |
11 |
bb) |
12 |
|
─ 1 |
─ 5 |
|
─ 5 |
|
─ 6 |
|
cc) |
8 |
dd) |
7 |
ee) |
11 |
ff) |
9 |
|
|
─ 2 |
|
─ 1 |
|
─ 2 |
|
─ 6 |
|
gg) |
12 |
hh) |
8 |
ii)10 |
jj) |
6 |
|
|
─ 3 |
|
─ 0 |
─ 7 |
|
─ 6 |
|
kk) |
14 |
ll)10 |
mm) |
8 |
nn) |
7 |
|
|
─ 9 |
─ 3 |
|
─ 7 |
|
─ 0 |
|
Answers to Exercise Eleven |
||||||||||||
|
a) 9 |
b) |
0 |
c) |
3 |
d) |
7 |
e) |
5 |
f) |
7 |
g) |
2 |
|
h) 8 |
i) |
8 |
j) |
4 |
k) |
6 |
l) |
1 |
m) |
2 |
n) |
4 |
|
o) 4 |
p) |
6 |
q) |
8 |
r) |
2 |
s) |
8 |
t) |
3 |
u) |
5 |
|
v) 5 |
w) |
2 |
x) |
3 |
y) |
9 |
z) |
0 |
aa) |
6 |
bb) |
6 |
|
cc) 6 |
dd) |
6 |
ee) |
9 |
ff) |
3 |
gg) |
9 |
hh) |
8 |
ii) 3 |
|
|
jj) 0kk) 5ll) 7mm) 1nn) 7 |
||||||||||||
Need some extra practice? Find a partner and play this card game. Using a regular deck of cards, a jack will be eleven, a queen will be twelve and a king will be thirteen. Shuffle the cards and deal them out. Keep your cards in a pile in front of you. Each player flips over a card. Take turns subtracting the numbers on the cards. If the person gets the right answer that person gets to keep the cards. If the person gets the wrong answer the other player gets the cards. The person who collects all the cards is the winner. You could also set a time limit and the person with the most cards when time is up is the winner.
Exercise TwelveCheck out your subtraction facts by doing this exercise as
quickly as you can. Use your addition facts to help find the subtraction facts. Check your work using the answer key at the end of the exercise. Then, make a list of any subtraction facts you do not know or which are slow for you and practice them.
|
a)5 |
b)9 |
c)12 |
d)4 |
|
─ 2 |
─ 1 |
─ 4 |
─ 2 |
|
e)17 |
f)2 |
g)11 |
h)7 |
|
─ 9 |
─ 1 |
─ 9 |
─ 7 |
|
i)14 |
j)16 |
k)9 |
l)8 |
|
─ 6 |
─ 9 |
─ 3 |
─ 1 |
|
m)9 |
n)14 |
o)10 |
p)15 |
|
─ 0 |
─ 8 |
─ 5 |
─ 8 |
|
q)12 |
r)13 |
s)6 |
t)5 |
|
─ 9 |
─ 5 |
─ 5 |
─ 0 |
|
u)13 |
v)8 |
w)10 |
x)7 |
|
─ 9 |
─ 4 |
─ 0 |
─ 3 |
|
y)11 |
z)9 |
aa) |
6 |
bb) |
4 |
|
─ 8 |
─ 9 |
|
─ 1 |
|
─ 4 |
|
cc) |
13 |
dd) |
3 |
ee) |
11 |
ff) |
5 |
|
|
─ 7 |
|
─ 2 |
|
─ 4 |
|
─ 4 |
|
gg) |
11 |
hh) |
9 |
ii)6 |
jj) |
3 |
|
|
─ 6 |
|
─ 5 |
─ 2 |
|
─ 3 |
|
kk) |
4 |
ll)7 |
mm) |
10 |
nn) |
12 |
|
|
─ 1 |
─ 6 |
|
─ 4 |
|
─ 7 |
|
oo) |
15 |
pp) 10 |
qq) |
9 |
rr) |
8 |
|
|
─ 6 |
─ 8 |
|
─ 7 |
|
─ 8 |
|
a) |
3 |
b) |
8 |
c) |
8 |
d) |
2 |
e) |
6 |
f) |
1 |
g) |
2 |
|
h) |
0 |
i) |
8 |
j) |
7 |
k) |
6 |
l) |
7 |
m) |
9 |
n) |
6 |
|
o) |
5 |
p) |
7 |
q) |
3 |
r) |
8 |
s) |
1 |
t) |
5 |
u) |
4 |
|
v) |
4 |
w) |
10 |
x) |
4 |
y) |
3 |
z) |
0 |
aa) |
5 |
bb) |
0 |
|
cc) |
6 |
dd) |
1 |
ee) |
7 |
ff) |
1 |
gg) |
5 |
hh) |
4 |
ii) |
4 |
|
jj) |
0 |
kk) |
3 |
ll) |
1 |
mm) 6 |
nn) |
5 |
oo) |
9 |
pp) |
2 |
|
|
qq) |
2 |
rr) |
0 |
|
|
|
|
|
|
|
|
|
|
Answers to Exercise Twelve
Emotions Check
How are you feeling? Are your palms moist? How is your breathing? Take control. Be the boss. If you are feeling anxious, practice your breathing exercise.
Remember: breathe in slowly to the count of four, hold it for the count of four and breathe out slowly to the count of four.
Subtracting Across
So far you have only been subtracting numbers when they are up and down or vertical.
Example:9
─ 5
4
Another way to subtract numbers is across or horizontally.
Example:9 ─ 5 = 4
When you subtract numbers across, you work from left to right.
Exercise OnePractice subtracting across or horizontally. Check your work
using the answer key at the end of the exercise.
a)6 ─ 3 =b)12 ─ 8 =
c)4 ─ 1 =d)8 ─ 6 =
e)18 ─ 9 =f)11 ─ 4 =
g)7 ─ 2 =h)16 ─ 7 =
i)10 ─ 5 =j)2 ─ 0 =
k)9 ─ 5 =l)17 ─ 8 =
m)5 ─ 3 =n)14 ─ 9 =
|
o) |
15 |
─ |
6 |
= |
p) |
3 |
─ |
1 |
= |
|
q) |
13 |
─ |
7 |
= |
r) |
1 |
─ |
0 |
= |
|
s) |
10 |
─ |
4 |
= |
t) |
6 |
─ |
2 |
= |
|
174 |
|
|
|
|
|
|
|
|
Book 1 |
|
Answers to Exercise One |
||||||||||||
|
a) |
3 |
b) |
4 |
c) |
3 |
d) |
2 |
e) |
9 |
f) |
7 |
g)5 |
|
h) |
9 |
i) |
5 |
j) |
2 |
k) |
4 |
l) |
9 |
m) |
2 |
n)5 |
|
o) |
9 |
p) |
2 |
q) |
6 |
r) |
1 |
s) |
6 |
t) |
4 |
|
Exercise TwoPractice subtracting across or horizontally. Check your work
using the answer key at the end of the exercise
a)9 ─ 6 =b)14 ─ 5 =
c)8 ─ 4 =d)7 ─ 1 =
e)11 ─ 7 =f)5 ─ 0 =
g)4 ─ 3 =h)15 ─ 8 =
i)11 ─ 9 =j)10 ─ 2 =
k)9 ─ 2 =l)8 ─ 3 =
m)13 ─ 5 =n)12 ─ 6 =
o)10 ─ 7 =p)7 ─ 4 =
q)5 ─ 1 =r)16 ─ 8 =
s)10 ─ 9 =t)6 ─ 0 =
|
Answers to Exercise Two |
||||||||||||
|
a) |
3 |
b) |
9 |
c) |
4 |
d) |
6 |
e) |
4 |
f) |
5 |
g)1 |
|
h) |
7 |
i) |
2 |
j) |
8 |
k) |
7 |
l) |
5 |
m) |
8 |
n)6 |
|
o) |
3 |
p) |
3 |
q) |
4 |
r) |
8 |
s) |
1 |
t) |
6 |
|
Exercise ThreePractice subtracting across or horizontally. Check your work
using the answer key at the end of the exercise
|
a) |
3 ─ 2 = |
b) |
17 ─ 9 = |
|
c) |
14 ─ 7 = |
d) |
9 ─ 3 = |
|
e) |
12 ─ 5 = |
f) |
8 ─ 8 = |
|
g) |
6 ─ 1 = |
h) |
13 ─ 4 = |
|
i) |
11 ─ 6 = |
j) |
4 ─ 0 = |
|
k) |
8 ─ 1 = |
l) |
16 ─ 9 = |
|
m) |
7 ─ 0 = |
n) |
13 ─ 8 = |
|
o) |
12 ─ 3 = |
p) |
9 ─ 4 = |
|
q) |
15 ─ 7 = |
r) |
10 ─ 6 = |
|
s) |
11 ─ 5 = |
t) |
5 ─ 2 = |
|
Answers to Exercise Three |
||||||||||||
|
a) |
1 |
b) |
8 |
c) |
7 |
d) |
6 |
e) |
7 |
f) |
0 |
g)5 |
|
h) |
9 |
i) |
5 |
j) |
4 |
k) |
7 |
l) |
7 |
m) |
7 |
n)5 |
|
o) |
9 |
p) |
5 |
q) |
8 |
r) |
4 |
s) |
6 |
t) |
3 |
|
Word Problems
Learning subtraction facts is very important because once you know them all they become a tool to use when solving problems.
Words such as less than, minus, subtracted from, how many more, how much more, and difference tell you to subtract the numbers. Look for these words when reading word problems and underline them before trying to solve a problem.Circlethe information that is given.
used 7
Example:There were 14 nails in a box. Lu used 7 of them. How many nails were still in the box?
14 nails
There were box?
in a box. Lu
of them. How many nails were still in the
You have circled 14 nails and 7. This is the information you will use to find the answer.
You have underlined “How many”. These words tell you to subtract.
14 nails
— 7 nails
7 nails
Exercise OneSolve each of the following word problems. Be sure to
underline the words that tell you to subtract. Circle
the information that is given. Check your work using the answer key at the end of the exercise. Have your instructor check your underlining and circling.
- Wolfgang walked 11 blocks. Ingrid walked 6 blocks. Wolfgang walked how much farther than Ingrid?
- Mika and her father went fishing. Mika caught 18 fish and her father caught 9 fish. How many more fish did Mika catch?
- Kuan-Lin was making moon cakes for the class party. She needed 15 cakes for the party.
On Monday she had made 7 moon cakes. How many moon cakes did she still need to make?
- Malik counted 12 cars in the parking lot where he worked. One hour later, he counted only 4 cars. How many cars left?
- There were 17 chairs in a room. Eight of them were being used. How many chairs were not being used?
- Answers to Exercise One
Amelie had $12 in her wallet. She bought a latté for $4. Find the difference.
|
a)5 blocks |
b) |
9 fish |
c) |
8 moon cakes |
|
d)8 cars |
e) |
9 chairs |
f) |
$8 |
Topic A: Self-TestMark/21Aim 18/27
Find the differences. Be sure to check your answers.9 marks
|
a)16 |
b)18 |
c)14 |
|
─ 8 |
─ 9 |
─ 8 |
|
d)11 |
e)9 |
f)17 |
|
─ 4 |
─ 3 |
─ 9 |
|
g)10 |
h)7 |
i)15 |
|
─ 6 |
─ 5 |
─ 6 |
- Find the differences. Be sure to check your answers.6 marks
|
a) |
10 ─ 6 = |
b) |
7 ─ 5 = |
|
c) |
15 ─ 9 = |
d) |
9 ─ 4 = |
|
e) |
11 ─ 3 = |
f) |
10 ─ 7 = |
Solve each of the following word problems.6 marks Be sure to include the unit of measure in your answer.(2 marks each) Be sure to circle information and underline what is being asked.
- Shada caught 17 fish. She gave 8 fish to her grandmother. How many fish did she have left?
- Yuan went to the store with $15 to buy some rice. The rice cost $6. How much did he have left?
- Carlo had 13 metres of fencing. He used 8 metres around his flower garden. How many metres did he have left?
Answers to Topic A Self-TestA.
|
a) |
8 |
b) |
9 |
c) |
6 |
d) 7 |
e)6 |
f) |
8 |
|
g) |
4 |
h) |
2 |
i) |
9 |
|
|
|
|
|
B. a) |
4 |
b) |
2 |
c) |
6 |
d) 5 |
e)8 |
f) |
3 |
|
C. |
|
|
|
|
|
|
|
|
|
|
a) |
9 fish |
|
|
b)$9 |
|
c)5 metres |
|
|
|
Topic B: Subtraction of Larger Numbers
You can find the difference between two large numbers using the basic subtraction facts you have been practicing. Always take away or subtract the number after the minus sign.
Use these steps to complete each subtraction question.
Step 1: Subtract the ones from the ones.
Step 2: Subtract the tens from the tens.
Step 3: Subtract the hundreds from the hundreds.
Example A:57
– 26
Step 1: Subtract the ones from the ones. 7 ones – 6 ones = 1 one
57
– 26
1
Write the answer in line with the ones in the question.
Step 2:Subtract the tens from the tens. 5 tens – 2 tens = 3 tens
57
– 26
31
The difference between 57 and 26 is 31.
Example B:
628
─ 524
Step 1:Subtract the ones from the ones. 8 ones – 4 ones = 4 ones
628
─ 524
4
Write the answer in line with the ones in the question.
Step 2:Subtract the tens. 2 tens – 2 tens = 0 tens
628
─ 524
04
Write the answer in line with the tens in the question. The 0 must be placed in the answer to hold the tens place.
Step 3:Subtract the hundreds. 6 hundreds – 5 hundreds = 1 hundred
628
─ 524
104
Write the answer in line with the hundreds in the question. The difference between 628 and 524 is 104.
Exercise OneFind the differences. Check your work using the answer key at
the end of the exercise.
|
a)87 |
b)29 |
c)48 |
d)99 |
|
─ 36 |
─ 21 |
─ 40 |
─ 63 |
|
e)75 |
f)73 |
g)92 |
h)58 |
|
─ 45 |
─ 20 |
─ 21 |
─ 27 |
|
i)84 |
j)69 |
k)45 |
l)49 |
|
─ 23 |
─ 38 |
─ 23 |
─ 19 |
|
m)59 |
n)87 |
o)88 |
p)56 |
|
─ 14 |
─ 63 |
─ 15 |
─ 44 |
|
q)96 |
r)37 |
s)70 |
t)38 |
|
─ 75 |
─ 17 |
─ 50 |
─ 24 |
|
u)31 |
v)27 |
w)74 |
x)45 |
|
─ 10 |
─ 12 |
─ 53 |
─ 20 |
|
Answers to Exercise One |
|||||||||||||
|
a) |
51 |
b) |
8 |
c) |
8 |
d) |
36 |
e) |
30 |
f) |
53 |
g) |
71 |
|
h) |
31 |
i) |
61 |
j) |
31 |
k) |
22 |
l) |
30 |
m) |
45 |
n) |
24 |
|
o) |
73 |
p) |
12 |
q) |
21 |
r) |
20 |
s) |
20 |
t) |
14 |
u) |
21 |
|
v) |
15 |
w) |
21 |
x) |
25 |
|
|
|
|
|
|
|
|
Exercise TwoFind the differences. Check your work using the answer key at
the end of the exercise.
|
a)46 |
b)65 |
c)45 |
d)53 |
|
─ 23 |
─ 42 |
─ 13 |
─ 20 |
|
e)34 |
f)48 |
g)56 |
h)26 |
|
─ 21 |
─ 32 |
─ 13 |
─ 15 |
|
i)49 |
j)58 |
k)95 |
l)37 |
|
─ 22 |
─ 27 |
─ 71 |
─ 14 |
|
m)69 |
n)86 |
o)99 |
p)89 |
|
─ 19 |
─ 71 |
─ 50 |
─ 55 |
|
q)97 |
r)87 |
s)48 |
t)36 |
|
─ 13 |
─ 25 |
─ 26 |
─ 11 |
|
u)46 |
v)86 |
w)59 |
x)84 |
|
─ 12 |
─ 43 |
─ 32 |
─ 14 |
|
Answers to Exercise Two |
|||||||||||||
|
a) |
23 |
b) |
23 |
c) |
32 |
d) |
33 |
e) |
13 |
f) |
16 |
g) |
43 |
|
h) |
11 |
i) |
27 |
j) |
31 |
k) |
24 |
l) |
23 |
m) |
50 |
n) |
15 |
|
o) |
49 |
p) |
34 |
q) |
84 |
r) |
62 |
s) |
22 |
t) |
25 |
u) |
34 |
|
v) |
43 |
w) |
27 |
x) |
70 |
|
|
|
|
|
|
|
|
Exercise ThreeFind the differences. Check your work using the answer key at
the end of the exercise.
|
a)23 |
b)53 |
c)32 |
d)77 |
|
─ 11 |
─ 21 |
─ 20 |
─ 32 |
|
e)31 |
f)38 |
g)33 |
h)92 |
|
─ 21 |
─ 15 |
─ 13 |
─ 30 |
|
i)94 |
j)54 |
k)74 |
l)88 |
|
─ 23 |
─ 42 |
─ 33 |
─ 72 |
|
m)46 |
n)75 |
o)85 |
p)56 |
|
─ 36 |
─ 41 |
─ 12 |
─ 45 |
|
q)64 |
r)27 |
s)76 |
t)63 |
|
─ 22 |
─ 15 |
─ 53 |
─ 41 |
|
u)52 |
v)57 |
w)69 |
x)77 |
|
─ 41 |
─ 44 |
─ 46 |
─ 42 |
|
Answers to Exercise Three |
|||||||||||||
|
a) |
12 |
b) |
32 |
c) |
12 |
d) |
45 |
e) |
10 |
f) |
23 |
g) |
20 |
|
h) |
62 |
i) |
71 |
j) |
12 |
k) |
41 |
l) |
16 |
m) |
10 |
n) |
34 |
|
o) |
73 |
p) |
11 |
q) |
42 |
r) |
12 |
s) |
23 |
t) |
22 |
u) |
11 |
|
v) |
13 |
w) |
23 |
x) |
35 |
|
|
|
|
|
|
|
|
Exercise FourFind the differences. Check your work using the answer key at
the end of the exercise.
|
a)476 |
b)873 |
c)589 |
|
─ 413 |
─ 560 |
─ 384 |
|
d)793 |
e)228 |
f)995 |
|
─ 170 |
─ 123 |
─ 452 |
|
g)896 |
h)769 |
i)788 |
|
─ 450 |
─ 405 |
─ 435 |
|
j)579 |
k)958 |
l)696 |
|
─ 234 |
─ 403 |
─ 251 |
|
m)657 |
n)745 |
o)967 |
|
─ 234 |
─ 412 |
─ 143 |
|
p)456 |
q)627 |
r)878 |
|
─ 214 |
─ 512 |
─ 425 |
|
s)357 |
t)725 |
u)678 |
|
─ 130 |
─ 214 |
─ 623 |
|
v)526 |
w)724 |
x)429 |
|
─ 116 |
─ 221 |
─ 316 |
|
Answers to Exercise Four |
|||||||||||||
|
a) |
63 |
b) |
313 |
c) |
205 |
d) |
623 |
e) |
105 |
f) |
543 |
g) |
446 |
|
h) |
364 |
i) |
353 |
j) |
345 |
k) |
555 |
l) |
445 |
m) |
423 |
n) |
333 |
|
o) |
824 |
p) |
242 |
q) |
115 |
r) |
453 |
s) |
227 |
t) |
511 |
u) |
55 |
|
v) |
410 |
w) |
503 |
x) |
113 |
|
|
|
|
|
|
|
|
Exercise FiveFind the differences. Check your work using the answer key at
the end of the exercise.
|
a)543 |
b)752 |
c)328 |
|
─ 132 |
─ 150 |
─ 115 |
|
d)758 |
e)587 |
f)857 |
|
─ 341 |
─ 425 |
─ 143 |
|
g)545 |
h)466 |
i)964 |
|
─ 302 |
─ 115 |
─ 231 |
|
j)679 |
k)757 |
l)467 |
|
─ 424 |
─ 136 |
─ 132 |
|
m)536 |
n)897 |
o)979 |
|
─ 325 |
─ 287 |
─ 465 |
|
p)907 |
q)496 |
r)778 |
|
─ 605 |
─ 144 |
─ 635 |
|
s)573 |
t)859 |
u)735 |
|
─ 232 |
─ 734 |
─ 420 |
|
v)912 |
w)966 |
x)578 |
|
─ 811 |
─ 732 |
─ 343 |
|
Answers to Exercise Five |
|||||||||||||
|
a) |
411 |
b) |
602 |
c) |
213 |
d) |
417 |
e) |
162 |
f) |
714 |
g) |
243 |
|
h) |
351 |
i) |
733 |
j) |
255 |
k) |
621 |
l) |
335 |
m) |
211 |
n) |
610 |
|
o) |
514 |
p) |
302 |
q) |
352 |
r) |
143 |
s) |
341 |
t) |
125 |
u) |
315 |
|
v) |
101 |
w) |
234 |
x) |
235 |
|
|
|
|
|
|
|
|
Exercise SixFind the differences. Check your work using the answer key
at the end of the exercise.
|
a)353 |
b)896 |
c)786 |
|
─142 |
─ 675 |
─ 325 |
|
d)743 |
e)548 |
f)685 |
|
─ 623 |
─ 336 |
─ 143 |
|
g)393 |
h)965 |
i)478 |
|
─ 241 |
─ 130 |
─ 352 |
|
j)968 |
k)435 |
l)694 |
|
─ 605 |
─ 234 |
─ 523 |
|
m)576 |
n)946 |
o)664 |
|
─ 314 |
─ 615 |
─ 532 |
|
p)824 |
q)768 |
r)497 |
|
─ 513 |
─ 633 |
─ 335 |
|
s)985 |
t)679 |
u)598 |
|
─ 843 |
─ 436 |
─ 365 |
|
v)984 |
w)569 |
x)747 |
|
─ 672 |
─ 238 |
─ 636 |
|
Answers to Exercise Six |
|||||||||||||
|
a) |
211 |
b) |
221 |
c) |
461 |
d) |
120 |
e) |
212 |
f) |
542 |
g) |
152 |
|
h) |
835 |
i) |
126 |
j) |
363 |
k) |
201 |
l) |
171 |
m) |
262 |
n) |
331 |
|
o) |
132 |
p) |
311 |
q) |
135 |
r) |
162 |
s) |
142 |
t) |
243 |
u) |
233 |
|
v) |
312 |
w) |
331 |
x) |
111 |
|
|
|
|
|
|
|
|
Topic B: Self-TestMark/27Aim23/27
A.Find the differences. Be sure to check your answers.6 marks
|
a)59 |
b)27 |
c)78 |
|
─ 33 |
─ 14 |
─ 23 |
|
d)93 |
e)67 |
f)86 |
|
─ 81 |
─ 45 |
─ 56 |
- Find the differences. Be sure to check your answers.6 marks
|
a)896 |
b)788 |
c)467 |
|
─ 422 |
─ 531 |
─ 126 |
|
d)549 |
e)936 |
f)654 |
|
─ 318 |
─ 725 |
─ 242 |
Solve each of the following word problems.6 marks Be sure to include the unit of measure in your answer.(2 marks each) Be sure to circle information and underline what is being asked.
- At noon the temperature was 34 degrees Celsius. At nine o’clock in the evening, it was 12 degrees Celsius. How many degrees did the temperature drop?
- Misha’s family is on a 179 kilometer trip. They have already gone 123 kilometers. How much farther to they have to go?
- The Burj Khalifa in Dubai is one of the tallest buildings in the world at 828 metres. The Eiffel Tower in Paris is 324 metres tall. How much taller is the Burj Khalifa than the Eiffel Tower?
Answers to Topic B Self-TestA.a)22 degrees Celsiusb) 56 kilometresc) 504 metres
|
a)
B. |
26 |
b)13 |
c) |
55 |
d) 12 |
e)22 |
f) |
30 |
|
a) |
474 |
b)257 |
c) |
341 |
d) 231 |
e)211 |
f) |
412 |
|
C. |
|
|
|
|
|
|
|
|
Unit 3 Review – Subtraction
You will now practice all the skills you learned in Unit 3. Check your work using the answer key at the end of the review.
Check out your subtraction facts.
|
a)5 |
b)8 |
c)3 |
d)9 |
|
─ 2 |
─ 7 |
─ 1 |
─ 5 |
|
e)18 |
f)11 |
g)13 |
h)10 |
|
─ 9 |
─ 4 |
─ 5 |
─ 5 |
|
i)6 |
j)14 |
k)16 |
l)12 |
|
─ 6 |
─ 8 |
─7 |
─ 9 |
|
m)17 |
n)9 |
o)13 |
p)15 |
|
─ 9 |
─ 3 |
─ 6 |
─ 8 |
Subtract across or horizontally.
a)8 ─ 6 =b)12 ─ 5 =
c)10 ─ 10 =d)9 ─ 8 =
e)11 ─ 6 =f)8 ─ 4 =
g)7 ─ 3 =h)14 ─ 9 =
i)10 ─ 8 =j)8 ─ 5 =
k)13 ─ 4 =l)15 ─ 7 =
m)14 ─ 7 =n)7 ─ 1 =
o)17 ─ 8 =p)13 ─ 7 =
Find the differences.
|
a)45 |
b)78 |
c)84 |
|
─ 23 |
─ 15 |
─ 52 |
|
d)57 |
e)78 |
f)69 |
|
─ 10 |
─ 21 |
─ 43 |
|
g)96 |
h)88 |
i)95 |
|
─ 45 |
─ 35 |
─ 33 |
|
j)45 |
k)85 |
l)87 |
|
─ 15 |
─ 31 |
─ 45 |
Find the differences
|
a)583 |
b)799 |
c)629 |
|
─ 163 |
─ 265 |
─ 305 |
|
d)847 |
e)978 |
f)797 |
|
─ 406 |
─ 252 |
─ 652 |
|
g)765 |
h)854 |
i)536 |
|
─ 243 |
─ 344 |
─ 314 |
|
j)897 |
k)669 |
l)769 |
|
─ 246 |
─ 238 |
─ 564 |
Word Problems
- One week, Tiago changed 258 light bulbs in the building. The next week, Tiago changed 141 light bulbs. How many more bulbs did Tiago change the first week?
- Anoki drove 769 kilometres while his friend Dasan drove 534 kilometres on their trip. How many more kilometres did Anoki drive?
Answers to Unit 3 ReviewA.E.a) 117 light bulbsb) 235 kilometres
|
a) |
3 |
b) |
1 |
c) |
2 |
d) |
4 |
e) |
9 |
|
f) |
7 |
g) |
8 |
h) |
5 |
i) |
0 |
j) |
6 |
|
k) |
9 |
l) |
3 |
m) |
8 |
n) |
6 |
o) |
7 |
|
p) |
7 |
|
|
|
|
|
|
|
|
|
B. a) |
2 |
b) |
7 |
c) |
0 |
d) |
1 |
e) |
5 |
|
f) |
4 |
g) |
4 |
h) |
5 |
i) |
2 |
j) |
3 |
|
k) |
9 |
l) |
8 |
m) |
7 |
n) |
6 |
o) |
9 |
|
p) |
6 |
|
|
|
|
|
|
|
|
|
C. a) |
22 |
b) |
63 |
c) |
32 |
d) |
47 |
e) |
57 |
|
f) |
26 |
g) |
51 |
h) |
53 |
i) |
62 |
j) |
30 |
|
k) |
54 |
l) |
42 |
|
|
|
|
|
|
|
D. |
|
|
|
|
|
|
|
|
|
|
a) |
420 |
b) |
534 |
c) |
324 |
d) |
441 |
e) |
726 |
|
f) |
145 |
g) |
522 |
h) |
510 |
i) |
222 |
j) |
651 |
|
k) |
431 |
l) |
205 |
|
|
|
|
|
|
CONGRATULATIONS!!Now you have finished Unit 3.TEST TIME!Ask your instructor for the Practice Test for this unit.Once you’ve done the practice test, you need to do the unit 3 test.Again, ask your instructor for this.Good luck!