Chapter 1- Algebra (Pure Maths)

Question 1

how do you represent even numbers?

Answer 1

even numbers are represented as 2a, where a is an integer

Question 2

how do you represent odd numbers?

Answer 2

Odd numbers are represented as 2a+1 , where a is an integer

Question 3

What is Proof by deduction?

Answer 3

A proof by deduction is when you use known facts to build an argument to prove the statement is true.

Question 4

what is proof by exhaustion?

Answer 4

proof by exhaustion is when you break it down into two or more situations. Making sure to cover all possible situations, then prove separately they must be true.

Question 5

what’s disproof by counter-example?

Answer 5

disproof by counter-example is when you find a case where a statement doesn’t hold.

Question 6

how to rationalise the denominator?

Answer 6

times by the conjugate
e.g ( 9 /√3 ) X (√3/√3)= 3√3