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MilliersMillièmesCentainesDizainesMilliersCentainesDizainesUnitésDixièmesCentièmesMillièmesDixCent1000001000010001001010,10,010,0010,00010,00001
E.10793
Consider
the
table
of
units
below
:
1
Place
sixty-one
thousandths
in
the
table.
Give
the
value
of
:
61
×
0.001
=
:
:
:
2
Place
one
thousand
three
hundred
seventeen
tenths
in
the
table.
Give
the
value
of
:
3117
×
0.1
=
:
:
:
3
Place
forty-four
hundredths
in
the
table.
Give
the
value
of
:
44
×
0.01
=
:
:
:
4
Complete
the
following
sentence
:
ˇ
To
multiply
by
0.1,
0.01,
0.001,
move
the
decimal
point
to
the
.
.
.
.
.
.
of
.
.
.
.
.
.
,
.
.
.
.
.
.
,
.
.
.
.
.
.
ranks
ı
4.
Elementary
procedure:
multiplication
by
0.1;
0.01;
0.001
E.6271
Using
mental
arithmetic,
perform
the
following
calculations
:
a
32
×
0.1
b
5.1
×
0.1
c
124
×
0.01
d
89.1
×
0.1
e
431.4
×
0.01
f
8741.4
×
0.001
E.9917
Using
mental
arithmetic,
perform
the
following
calculations
:
a
54.2
×
0.01
b
0.002
×
0.1
c
25.45
×
0.001
d
56
×
0.001
e
0.542
×
0.01
f
17
×
0.001
E.1529
The
results
of
the
calculations
be-low
have
had
their
commas
removed.
Copy
these
calculations,
adding
the
correct
comma
to
the
results.
a
153.352
×
0.01
=
153352
b
29.57
×
0.001
=
2957
c
359.576
×
0.1
=
359576
d
56.34
×
0.001
=
5632
E.1542
Complete
the
following
calculations
correctly:
a
54.67
×
=
0.5467
b
21.34
×
=
2.134
c
34
×
=
3400
d
982.5
×
=
0.9825
E.9918
Complete
the
following
equations
correctly:
a
37.82
×
=
378.2
b
12
×
=
0.12
c
9.698
×
=
9698
d
4.325
×
=
432.5
5.
Introduction
to
decimal
multiplication
E.2282
1
Perform
the
following
operations
:
a
(3.6
×
10)
×
(7.3
×
10)
b
(4.32
×
100)
×
(9.2
×
10)
2
From
the
previous
question,
deduce
the
results
of
the
following
calculations
:
a
3.6
×
7.3
b
4.32
×
9.2
E.1538
We
give
the
result
of
the
calculation
below
:
2
451
×
527
=
1
291
677
Without
performing
the
operation,
give
the
result
of
the
fol-lowing
calculations
:
a
24.51
×
527
b
24
510
×
5
270
c
245.1
×
52.7
d
24.51
×
5.27
e
245.1
×
5
270
f
24.51
×
5
270
E.1539
Given
that
2941
×
67
=
197
047
and
without
showing
the
calculation,
give
the
result
of
the
follow-ing
multiplications:
a
29
;
41
×
6
;
7
b
2
;
941
×
0
;
67
c
2941
×
670
d
0
;
2941
×
6700
E.1526
Knowing
that
26
×
344=8944
and
without
asking
the
operation,
give
the
result
of
each
of
these
multiplications:
a
2.6
×
344
b
2.6
×
3.44
c
0.026
×
344
d
2.6
×
0.344
e
0.26
×
0.344
6.
Multiplications
of
decimal
numbers
https://chingmath.fr
chapExoCorrec/10793
sacados/10793
MilliersMillièmesCentainesDizainesMilliersCentainesDizainesUnitésDixièmesCentièmesMillièmesDixCent1000001000010001001010,10,010,0010,00010,00001
chapExoCorrec/6271
sacados/6271
chapExoCorrec/9917
sacados/9917
chapExoCorrec/1529
sacados/1529
chapExoCorrec/1542
sacados/1542
chapExoCorrec/9918
sacados/9918
chapExoCorrec/2282
sacados/2282
chapExoCorrec/1538
sacados/1538
chapExoCorrec/1539
sacados/1539
chapExoCorrec/1526
sacados/1526
E.1537
Here
is
a
student’s
work.
Copy
the
calculations
and
correct
them
if
necessary
:
E.9925
Place
and
perform
the
following
mul-tiplications:
a
34.1
×
6
b
25
×
0.47
c
156.2
×
67
E.10786
Perform
the
following
multiplica-tions
:
a
3
×
1.2
b
4
×
1.04
c
7
×
2.2
E.1527
Put
and
perform
the
following
mul-tiplications:
a
0.3
×
0.4
b
8.4
×
2.3
c
3.7
×
9.6
E.9924
Place
and
perform
the
following
mul-
tiplications:
a
37.81
×
60.4
b
25.45
×
3.07
c
435.45
×
32.6
E.9921
Among
the
following
calculations,
find
the
intru
:
a
3.15
×
0.7
b
31.5
×
0.07
c
0.0315
×
70
d
0.00315
×
7
E.10883
Put
and
perform
the
following
mul-tiplications:
a
15.4
×
3.8
b
8.87
×
2.5
c
19.2
×
3.7
E.9931
Place
and
perform
the
following
mul-tiplications:
a
0.04
×
295
b
12345
×
2.2
c
92
×
78.47
E.10392
Place
and
perform
the
following
multiplications:
a
34.1
×
25.3
b
86.3
×
0.97
7.
Addition
or
multiplication
of
several
terms
E.1540
Using
mental
arithmetic,
perform
the
following
multiplications:
A
13.1
×
0.5
×
4
b
1.25
×
8
×
7
c
0.25
×
5.1
×
4
d
7.5
×
3
×
2
Hint:
factors
will
be
grouped
together
in
a
clever
way
to
make
calculations
easier.
E.1536
Using
mental
arithmetic,
perform
the
following
multiplications:
a
3.6
×
4
×
2.5
b
0.5
×
3.75
×
20
c
8
×
0.75
×
3
×
4
d
25
×
2.5
×
4
E.2318
Using
mental
arithmetic,
perform
the
following
multiplications:
A
0.1
×
4
×
3.71
×
2.5
b
4
×
2.1
×
2.5
×
3
c
15
×
0.1
×
4
×
3
d
2.4
×
0.2
×
2
×
5
E.9923
Using
mental
math,
perform
the
following
operations
:
a
13
+
55
+
45
+
77
b
5
×
3
;
76
×
0
;
4
×
0
;
01
8.
Order
of
magnitude
E.6615
For
each
calculation,
three
answers
are
proposed
;
only
one
is
correct.
Give
the
correct
answer
in
each
case
:
a
b
c
d
1
32.4
×
74.3
2412.43
243.32
243.33
2407.32
2
561.73
−
235.2
326.53
32.53
325.12
33.82
3
0.98
×
32.4
31.752
31.834
125.242
123.254
Hint:
to
determine
the
correct
answer,
we
can
use
an
or-der
of
magnitude
of
the
value
of
the
calculation
but
also
the
properties
of
the
operations.
E.3637
For
each
calculation
three
answers
are
proposed
;
only
one
is
correct.
Give
the
correct
answer
in
each
case
:
Response
a
Response
b
Response
c
Response
d
987.7
×
2.2
217.92
2171.92
2172.94
217.94
387.78+615.1
1002.88
10
002.78
1002.87
10
001.87
152.4
×
3.9
594.36
854.46
412.36
746.66
Hint:
To
determine
the
correct
answer,
one
can
use
an
or-der
of
magnitude
of
the
value
of
the
calculation
but
also
the
properties
of
the
operations.
https://chingmath.fr
chapExoCorrec/1537
sacados/1537
chapExoCorrec/9925
sacados/9925
chapExoCorrec/10786
sacados/10786
chapExoCorrec/1527
sacados/1527
chapExoCorrec/9924
sacados/9924
chapExoCorrec/9921
sacados/9921
chapExoCorrec/10883
sacados/10883
chapExoCorrec/9931
sacados/9931
chapExoCorrec/10392
sacados/10392
chapExoCorrec/1540
sacados/1540
chapExoCorrec/1536
sacados/1536
chapExoCorrec/2318
sacados/2318
chapExoCorrec/9923
sacados/9923
chapExoCorrec/6615
sacados/6615
chapExoCorrec/3637
sacados/3637
E.1530
For
each
question,
give
the
answer
corresponding
to
the
result
of
the
calculation.
a
53.45
+
345.505
b
47.9
×
102.01
c
134.2
×
0.96
d
75.64
×
1.12
Réponse
1
Réponse
2
Réponse
3
Réponse
4
a
399
398.96
398.955
398.91
b
484.352
4743.23
4884.279
473.23
c
142.131
128.832
14.131
14.832
d
84.7168
72.2512
722.2512
842.7168
E.9920
For
each
operation
below,
give
the
associated
answer
in
the
table.
Do
not
perform
the
calculation,
use
orders
of
magni-
tude,etc.
.
.
a
108.6
+
35.23
+
415.34
b
314
×
42
×
0.11
c
3783.52
+
84.2
+
285.34
d
3.6
×
5.4
×
2.33
Réponse
1
Réponse
2
Réponse
3
Réponse
4
a
561.23
559.17
55.17
56.23
b
145.68
1450.68
1
452.68
1450.64
c
4153.06
415.306
4153.02
415.02
d
45.2952
45.292
45.22
45.2
E.9919
George
goes
to
the
market
and
buys
4
lots
of
yogurt
at
2.80
e
each
and
three
kilos
of
meat
at
12.1
e
=
kg
.
Give
an
order
of
magnitude
for
George’s
purchases.
9.
Addition,
subtraction,
multiplication
E.1532
Install
and
perform
the
following
operations
:
a
152.73
−
19.744
b
521.04
×
0.82
E.9927
Install
and
perform
the
following
operations
:
a
74.34
−
45.951
b
3.75
×
32.4
E.1541
Perform
the
following
calculations
:
A
37.2
×
9.2
b
135.42
−
58.34
c
0.062
×
6.7
d
34.54
+
55.48
E.1525
Install
and
perform
the
following
operations
:
a
64.35
+
157.37
b
354.12
×
12
c
465.3
−
94.29
d
2.45
×
5.6
E.9928
Install
and
perform
the
following
operations
:
a
31.86
−
22.07
b
4.653
−
3.963
c
117
×
22.9
d
16.74
×
5.01
E.9930
Install
and
perform
the
following
operations
:
a
261.64
−
127.68
b
27.24
+
541.35
c
78.5
×
23
d
9.204
×
1.25
E.1531
Install
and
perform
the
following
operations
:
a
137.34
+
92.2
+
63.81
b
35.24
×
25.1
E.9926
Install
and
perform
the
following
operations
:
a
78.65
+
49.76
+
102.06
b
8.204
×
0.202
E.10345
Install
and
perform
the
following
operations
:
a
3.57
+
18.18
b
427.16
−
59.07
c
3.17
×
0.54
E.10349
Install
and
perform
the
following
operations
:
a
62.9
+
39.22
b
846.26
−
671.5
c
47.7
×
0.37
E.2317
The
calculations
below
have
had
some
of
its
digits
and
commas
erased.
Copy
and
complete
these
operations
:
a
3
.
.,.
4
+
2
7
.
1
.
.
2
2
9
2
b
4
5
.,0
.
-
.
3
7
.
2
1
9
.
9
1
c
.,5
3
×
.
.
1
.
.
2
+
.
.
6
.,4
.
.
10.
Problems
E.9954
Nadine
buys
1.5
kg
worth
of
meat
at
the
neighborhood
market.
Meat
costs
97.7
$
per
kilogram.
What
is
the
price
of
the
meat
purchased
by
Nadine?
https://chingmath.fr
chapExoCorrec/1530
sacados/1530
chapExoCorrec/9920
sacados/9920
chapExoCorrec/9919
sacados/9919
chapExoCorrec/1532
sacados/1532
chapExoCorrec/9927
sacados/9927
chapExoCorrec/1541
sacados/1541
chapExoCorrec/1525
sacados/1525
chapExoCorrec/9928
sacados/9928
chapExoCorrec/9930
sacados/9930
chapExoCorrec/1531
sacados/1531
chapExoCorrec/9926
sacados/9926
chapExoCorrec/10345
sacados/10345
chapExoCorrec/10349
sacados/10349
chapExoCorrec/2317
sacados/2317
chapExoCorrec/9954
sacados/9954
E.9953
A
kilogram
of
mango
is
7.42
e
.
Edéa
buys
2.4
kg
of
mango.
What
is
the
price
of
the
mangoes
pur-chased?
E.1543
Stores
Auprès
offer
a
600
g
block
of
foie
gras
at
29.2
e
per
kilogram.
Give
the
price
of
this
block
of
foie
gras?
E.10350
To
make
a
cake,
Aissata
has
to
go
back
to
the
supermarket
to
buy
3
egg
and
1.4
kg
flour.
For
this,
she
only
takes
a
bill
from
10
e
on
her.
Knowing
that
eggs
are
sold
at
0.65
e
each
and
that
flour
is
sold
at
0.35
e
per
kilogram,
determine
the
sum
with
which
she
will
return
from
the
supermarket.
E.9932
The
stores
Auprès
offers
a
600
g
block
of
foie
gras
at
29.2
e
per
kilogram.
Give
the
price
of
this
block
of
foie
gras?
E.10346
A
produce
store
sells
avocados
for
2.34
e
each
and
1.30
e
per
kilogram
of
green
beans.
Paul
goes
shopping
at
this
store
with
10
e
in
his
pocket.
He
buys
2
avocados
and
600
grams
of
green
beans.
How
much
does
he
have
left
when
he
gets
home?
E.9956
Arthur
decides
to
save
money.
He
plans
to
put
2.50
e
per
month
into
his
piggy
bank.
Give
the
amount
he
will
have
saved
in
4
years.
E.10884
Aline
retrieves
an
old
128
Mo
USB
stick.
She
deletes
all
the
contents
of
the
key
and
places
on
it:
6
photos,
each
of
which
is
1.4
Mo
,
4
videos,
each
of
which
is
4.6
Mo
.
How
much
free
space
will
this
USB
stick
have
after
all
these
files
have
been
placed
on
it?
E.10885
Matthias
wants
to
make
a
big
pumpkin
soup.
To
do
so,
he
needs
:
2.4
kilograms
of
pumpkin
1.5
kilograms
of
potatoes.
Here
is
the
information
he
finds
on
the
website
of
the
super-market
near
his
home
:
Starting
with
20
e
at
the
supermarket,
determine
how
much
money
he
will
have
left
after
buying
the
pumpkin
and
pota-toes
for
his
soup.
E.6289
1
Light
travels
through
space
with
a
speed
of
300
000
km
=
s
and
takes
8
minutes
to
travel
the
distance
from
the
Sun
to
the
Earth.
Determine
the
measurement
of
the
Earth-Sun
distance.
2
Light
takes
1.3
s
to
travel
the
distance
Moon-Earth.
Give
the
measure
of
this
distance.
E.6581
We
consider
the
following
two
cal-culation
programs
:
Program
A
Choose
a
number.
Multiply
it
by
3
.
Then
add
2
.
Display
the
result
Program
B
Choose
a
number.
Subtract
1
from
it.
Then
multiply
by
2
.
Then
add
6
.
Display
the
result
1
If
the
chosen
number
is
4
,
what
are
the
numbers
dis-played
by
each
of
these
calculation
programs?
2
If
the
chosen
number
is
2
,
what
are
the
numbers
dis-played
by
each
of
these
calculation
programs?
11.
Other
basic
procedures
E.7871
Using
mental
arithmetic,
perform
the
following
multiplications:
A
14
×
5
b
32
×
5
c
4
×
25
d
7
×
25
e
4
×
50
f
19
×
50
E.7872
Using
mental
arithmetic,
perform
the
following
multiplications:
a
12
×
0.5
b
37
×
0.5
c
6.6
×
0.5
d
40
×
0.5
e
61
×
0.5
f
1.4
×
0.5
12.
Multiplication
by
10,
100,
...
and
0.1
,
0.01
,
...
E.10886
Perform
the
following
calculations
:
a
14.5
×
0.01
b
35.9
×
100
c
0.032
×
0.01
13.
Succession
of
operations
https://chingmath.fr
chapExoCorrec/9953
sacados/9953
chapExoCorrec/1543
sacados/1543
chapExoCorrec/10350
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chapExoCorrec/9932
sacados/9932
chapExoCorrec/10346
sacados/10346
chapExoCorrec/9956
sacados/9956
chapExoCorrec/10884
sacados/10884
chapExoCorrec/10885
sacados/10885
chapExoCorrec/6289
sacados/6289
chapExoCorrec/6581
sacados/6581
chapExoCorrec/7871
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chapExoCorrec/7872
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chapExoCorrec/10886
sacados/10886
qb5a
aA=1+(3×=1+=bB=(5×+(3×=+=
cC=2+(2××3=2+×3=×3=dD=25−2×(2+3)=25−2×=25−=
E.7886
Method
:
When
a
calculation
involves
several
operations,
it
must
be
written
out
step
by
step
in
order
to
:
keep
track
of
the
value
of
the
calculation
at
all
times,
show
each
step
of
the
reasoning.
This
video
presents
a
ˇ
calculation
method
ı
to
be
used
as
an
example
for
all
questions
in
this
exercise
Perform
the
following
operations,
respecting
the
order
of
op-erations
:
a
2
×
4
+
5
×
6
b
2
×
4
+
5
×
3
c
2
×
4
+
5
×
6
d
2
×
4
+
5
×
6
E.7894
Complete
the
blanks
to
ˇ
drive
ı
your
calculations
to
the
result
:
E.5598
Perform
the
calculations
below,
ob-serving
the
priority
of
the
parentheses
:
a
15
−
(2
×
3)
b
(5
−
2)
×
11
c
(11
−
9)
×
(9
+
5)
d
3
×
(2
+
4)
14.
Problems
with
sequence
of
operations
E.1533
1
Bruno
goes
to
the
Halles
market
with
a
ticket
from
5
e
.
He
buys
520
g
of
strawberries
at
3.14
e
per
kg.
Determine
the
amount
Bruno
goes
home
with.
Directions:
we
will
use
the
value
approximated
by
excess
of
the
price
of
the
strawberries
to
the
nearest
cent.
2
Which
expression
directly
answers
the
previous
question?
a
0.52
×
3.14
−
5
b
5
−
0.52
×
3.14
c
520
×
3.14
−
5
d
5
−
520
×
3.14
E.6318
1
a
Jeanne
wants
to
surround
her
vegetable
garden
with
a
wire
mesh
to
protect
her
vegetables
from
small
ro-dents.
Going
online,
she
finds
a
wire
mesh
fence
cost-ing
2.1
e
=
m
.
She
measures
around
her
vegetable
garden
and
gets
a
perimeter
of
4.7
m
.
How
much
is
it
going
to
cost
her
to
buy
the
fence?
b
Since
her
vegetable
garden
is
rectangular
in
shape,
she
wants
to
add
a
post
to
the
four
corners
of
the
garden.
These
posts
have
a
unit
price
of
0.6
e
.
What
is
the
total
price
of
this
fence?
2
What
expression
is
used
to
obtain
the
total
price
of
this
fence?
a
2.1
+
4.7
+
4
+
0.6
b
2.1
×
4
+
0.6
×
4.7
c
4.7
+
4
×
2.1
+
0.6
d
2.1
×
4.7
+
0.6
×
4
E.5599
1
Otapi
is
a
magazine
for
teens
that
appears
22
times
a
year
at
a
price
of
4.95
e
per
copy.
The
magazine
offers
19.10
e
off
any
one-year
subscrip-tion.
What
is
the
subscription
price
for
1
year?
2
Which
of
the
expressions
below
gives
the
price
of
the
1-year
subscription?
a
19.10
−
4.95
×
22
b
4.95
×
22
−
19.10
c
19.10
−
4.95
×
22
d
19.10
+
4.95
+
22
E.1534
Martine
goes
to
the
market
with
a
20
e
.
bill
She
buys
only
2.4
kilos
of
pears.
The
price
of
pears
being
3.2
e
per
kilo.
1
Write
an
expression
using
parentheses
to
determine
how
much
money
he
has
left
when
he
exits
the
market.
2
Perform
this
calculation.
15.
Unclassified
exercises
E.9933
Emily
goes
downtown
with
150
e
to
shop
during
the
sale
period.
She
buys
a
pair
of
pants
for
45.50
e
and
a
sweater
for
27.60
e
.
How
much
money
does
he
have
left
when
he
gets
back
from
his
shopping?
E.9955
François
decides
to
fill
25
bottles
of
15
c‘
with
a
perfume.
Knowing
that
a
liter
of
this
perfume
costs
35
$.
1
How
many
bottles
of
1
‘
perfume,
does
Francis,
need
to
buy?
2
What
is
the
total
purchase
price
of
the
perfume?
https://chingmath.fr
chapExoCorrec/7886
sacados/7886
qb5a
chapExoCorrec/7894
sacados/7894
fichierPlus/7894/
aA=1+(3×=1+=bB=(5×+(3×=+=
cC=2+(2××3=2+×3=×3=dD=25−2×(2+3)=25−2×=25−=
chapExoCorrec/5598
sacados/5598
chapExoCorrec/1533
sacados/1533
chapExoCorrec/6318
sacados/6318
chapExoCorrec/5599
sacados/5599
chapExoCorrec/1534
sacados/1534
chapExoCorrec/9933
sacados/9933
chapExoCorrec/9955
sacados/9955