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Summary Grade 9 Numbers, operations and relationships.pdf
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In depth note covering Numbers, operations and relationships.
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Whole numbersTHE NUMBER SYSTEM
rational numbers
integers
whole numbers
irrational
numbers
1,1 m k it
0 1 2 3
r
3 22 40
315 1.37 21.6
Imaginethitstobetupperwears
stacked
together when you pick up yellow
you pick up orange and red too
i
Integers are also whole and natural
numbers
exercise
Tick the correct boxes
number natural whole integer rational irrational
591
12T
, MULTIPLES
Natural numbers that are multiplied by another natural number
4
16 94 2,56 1,024
4 4 4 4
lowest common multiple LCM
write out multiples of each number and spot lowest common
ia
lowest common multiple 20
factors
natural numbers that can divide into another number without
remainders
1 factors of 48 I 2 3 4 6 8 12 16 24 48
11 41
highest common factor HCF
write out factors of each number and spot the common
1 factors of 30 I 2 3 4 6 10 15 30
2 factors of 40 I 2 4 5 8 10 20 40
highest common factor 10
prime factors
numbers with only 2 factors I itself
1 prime numbers 2 3 5 7 11 13 17 19 23
1 is not prime only has one factor
, PRIME
Ladder method
FACTORIZATION
write 80 as a product of its prime factors
2 300
2 150
keep dividing 300 22 3 52
3 75
by the prime
ygygygyyg.me
heh 9m'T
number
find the LCM
1 make each number a product of its prime factors
eg Find the LCM of 6 and 8 by means of prime factorisation
prime factors
2 2
1 LCM 23 3 24
find the HCF
I write each number as a product of its prime factors
eg fhffort.gg f of 30 3 40 by means of prime
prime factors 3 ÉE 5
common factors
2 5 10
, exercise
1 Find the factors of
a 49
b 64
C 108
2 Find the multiples of
a 7
b 12
C 24
3 Find the HCF of
a 4 3 14
b 18 3 22
C 45 390
4 Find the CCM of
a 18 3 22
b 35 48
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