GRADE 7
Name:
When multiplying two numbers, the resulting answer is a multiple.
3, 6 and 9 are
multiples of 3
The set of the multiples
of 3 is written:
M3 = {3; 6 ; 9 ; …}
The multiples of three so not end. This is called an infinite set. Three dots are written
after the multiples to show that the list is not complete.
The multiples of a number can be divided by that number.
M3 = {3 ; 6 ; 9 ; 12 ; 15 ; 18 ; 21 ; 24 ; …}
M4 = {4 ; 8 ; 12 ; 16 ; 20 ; 24 ; 28 ; 32 ; …}
Compare the sets of the multiples of 3
and 4.
Some of the multiples are in both sets –
these multiples are common multiples.
The LOWEST COMMON MULTIPLE (LCM) of 3 and 4 is 12.
Answer the following, write the answers in your class workbook.
1) Provide the next three multiples of each of the following sets:
a. 2 ; 4 ; 6 ; __________ ; __________ ; __________ : …
b. 5 ; 10 ; 15 ; __________ ; __________ ; __________ : …
c. 7 ; 14 ; 21 ; __________ ; __________ ; __________ : …
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Grade 7 Term 2 - Mathematics: Numbers, operations and relationships; Common Fractions
Multiples
GRADE 7
e. 6 ; 12 ; 18 ; __________ ; __________ ; __________ : …
f. 25 ; 50 ; 75 ; __________ ; __________ ; __________ : …
1)
2) Find the common multiples and the lowest common multiple of the following
numbers:
a. 3 and 4
b. 8 and 12
c. 6 and 10
e. 3 ; 4 and 5
d. 3 ; 5 and 7
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Grade 7 Term 2 - Mathematics: Numbers, operations and relationships; Common Fractions
d. 11 ; 22 ; 33 ; __________ ; __________ ; __________ : …
When multiplying two numbers, the resulting answer is a multiple.
3, 6 and 9 are
multiples of 3
The set of the multiples
of 3 is written:
M3 = {3; 6 ; 9 ; …}
The multiples of three do not end. This is called an infinite set. Three dots are written
show thatthat
the the
list is
complete.
after the multiples to indicaate
listnot
is not
complete.
The multiples of a number can be divided by that number.
M3 = {3 ; 6 ; 9 ; 12 ; 15 ; 18 ; 21 ; 24 ; …}
M4 = {4 ; 8 ; 12 ; 16 ; 20 ; 24 ; 28 ; 32 ; …}
Compare the sets of the multiples of 3
and 4. Some of the multiples are in
both sets – these multiples are common
multiples.
The LOWEST COMMON MULTIPLE (LCM) of 3 and 4 is 12.
Answer the following, write the answers in your class workbook.
1) Provide the next three multiples of each of the following sets:
a. 2 ; 4 ; 6 ; 8 ; 10 ; 12 : …
b. 5 ; 10 ; 15 ; 20 ; 25 ; 30 : …
c. 7 ; 14 ; 21 ; 28 ; 35 ; 42 : …
d. 11 ; 22 ; 33 ; 44 ; 55 ; 66 : …
© e-classroom 2014 www.e-classroom.co.za
Grade 7 Term 2 - Mathematics: Numbers, operations and relationships; Common Fractions
GRADE 7
Answer sheet
GRADE 7
f. 25 ; 50 ; 75 ; 100 ; 125 ; 150 : …
2) Find the common multiples and the lowest common multiple of the following
1)
numbers:
a. 3 and 4
Common Multiples: 12; 24; 36; 48 LCM = 12
c. 6 and 10
Common Multiples: 30; 60; 90
b. 8 and 12
Common Multiples: 24; 48; 72
LCM = 24
LCM = 30
d. 3 ; 5 and 7 Common Multiples: 105
LCM = 105
LCM = 20
60
e. 3 ; 4 and 5 Common Multiples: 20;
60 60
© e-classroom 2014 www.e-classroom.co.za
Grade 7 Term 2 - Mathematics: Numbers, operations and relationships; Common Fractions
e. 6 ; 12 ; 18 ; 24 ; 30 ; 36 : …