whole number arithmetic highest common factor lowest common multiple
TRANSCRIPT
Whole Number Arithmetic
Highest common factor
Lowest common multiple
H.C.F (highest common factor)
• { factors of 8 } = { 1, 2, 4, 8 }
• { factors of 12 } = { 1, 2, 3, 4, 6, 12 }
• The H.C.F. is 4
L.C.M (lowest common multiple)
• { multiples of 8 } = { 8, 16, 24, 32… }
• { multiples of 12 } = {12, 24, 36… }
• The L.C.M. is 24
2 and 6
H.C.F
2
L.C.M
6
2 and 10
H.C.F
2
L.C.M
10
3 and 6
H.C.F
3
L.C.M
6
3 and 12
H.C.F
3
L.C.M
12
4 and 12
H.C.F
4
L.C.M
12
5 and 10
H.C.F
5
L.C.M
10
4 and 6
H.C.F
2
L.C.M
12
6 and 8
H.C.F
2
L.C.M
24
6 and 9
H.C.F
3
L.C.M
18
9 and 12
H.C.F
3
L.C.M
36
4 and 10
H.C.F
2
L.C.M
20
6 and 10
H.C.F
2
L.C.M
30
2, 4 and 8
H.C.F
2
L.C.M
8
4, 6 and 8
H.C.F
2
L.C.M
24
3, 6 and 12
H.C.F
3
L.C.M
12
6, 9 and 12
H.C.F
3
L.C.M
36
Exercise 7 - Oral examplesTrue or False
1) 5 is a factor of 10.
2) 5 is a multiple of 10.
3) 10 is a factor of 5.
4) 10 is a multiple of 5.
5) 7 is a factor of 7.
6) 7 is a multiple of 7.
7) 7 is a prime number.
8) 9 is a prime number.
9) 3 is a prime factor of 12.
• True• False• False• True• True• True• True• False• true
Set Notation
• If x is an element (or member) of a set A then we write
• If x is not an element of a set A then we write .
• e.g. if • A = { factors of 10 }
= { 1, 2, 5, 10 } • Then , • Whereas .
• If all the elements of A are also elements of B then we say that A is a subset of B and write
• e.g. If A = {prime factors of 10} = {2, 5}
• and B = {factors of 10} = {1, 2, 5, 10} then
•
Exercise 7Choose the correct symbol
1) 2 _____ { 1, 2, 3 } 2) { 2 } ____ { 1, 2, 3 }3) 7 ______ { 4, 5, 6 } 4) { 7 }____ { 4, 5, 6 }5) 3 _____ { 2, 3, 4 } 6) 8 ______ { 5, 6, 7 }7) { 3 } ____ { 2, 3, 4 } 8) { 8 } ____ { 5, 6, 7 }
Exercise 7
9) 5 ______ { factors of 5 }10) 5 _____ { multiples of 5 }11) 4 _______ { factors of 8 }12) 4 ______ { multiples of 8 }13) 6 _________ { factors of 3 }14) 6 __________ { multiples of 3 }15) { 5 }______ { factors of 5 }16) { 5 } _______ { multiples of 5 }
Exercise 7
17) { 4 } ____ { factors of 8 }18) { 4 } _____ { multiples of 8 }19) { 6 } _____ { factors of 3 }20) { 6 } _____ { multiples of 3 }21) 17 ______ { prime numbers }22) { 17 } ____ { prime numbers }23) 27 _____ { prime numbers }24) { 27 } ____ { prime numbers }
Exercise 7
25) 1 ____ { prime factors of 3 }
26) 2 ____ { prime factors of 6 }
27) { 3 }____ { prime factors of 9 }
28) { 4 } _____ { prime factors of 12}