Number theory

Question 0

What set is the elements of natural numbers in?

Answer 0

Infinite set

Question 1

Name all the Natural numbers

Answer 1

N = {1,2,3,4,5……}

Question 2

Name an even number that isn’t a part of the Natural number set

Answer 2

0 zero

Question 3

What’s an inverse operation?

Answer 3

The Opposite operation

E.g ( addition = i.o = subtraction )

Question 4

Name a commutative operation

Answer 4

Addition

Multiplication

Question 5

Name the two operations that are not Commutative

Answer 5

Subtraction

Division

Question 6

Give an example of AN ASSOCIATIVE PROPERTY

Answer 6

E.g
(3+4) + 5 = 12
(5+3) + 4 = 12

Question 7

Give an example of AN ASSOCIATIVE PROPERTY of Multiplication

Answer 7

(3 x 4) x 5 = 12 x 5= 60

(4x5) x 3= 20 x 3 = 60

Question 8

Is Subtraction and Division Associative?

Show an example to prove your answer

Answer 8

No its NOT associative

(12 divided by 6) divided by 2 = 2 divided by 2 = 1

12 divided by (6 divided by 2) = 12 divided by 3 = 4

Question 9

What’s a distributive property?

Show an example of this

Answer 9

Distributive means multiplication of “N” DISTRIBUTIVE over addition and subtraction.

E.g 3(7+9) = (3 x 7) + (3 x 9) = 21 + 27 = 48

a x (b divided by c) = (a x b) + (a x c)

Question 10

What operation would we use for brackets ( ) ?

Answer 10

Multiplication

E.g 5(3)= 15