NUMBER SYSTEM AND ALGEBRA(Numerical and abstract reasoning)

Question 1

Key characteristics of irrational numbers

Answer 1

Non-terminating and non- repeating decimals

Question 2

What is a surd?

Answer 2

Irrational root of a rational number

Question 3

Multiplying surds

Answer 3

Example:
√2 times √7 = √2 times 7 = √14

Question 4

Simplifying surds

Answer 4

Rewrite the surd into pairs and if it contains a square number, simplify that.

Example:
‘Simplify √40’

We can rewrite this as √4 times √10
Then, simplify √4 as the number 2

So the simplified version of √40 will become 2√10

Question 5

Laws of exponents (first two)

Answer 5

X^1= X
X^0= 1

Question 5

Law of exponents (negative exponent)

Answer 5

x^-n= 1/x^n

Question 6

Law of exponents (exponent raised to another exponent)

Answer 6

(x^m)^n = x^(m times n)

Question 7

Law of exponents (multiplication of exponents)

Answer 7

x^m times x^n = x^m+n

Question 8

Law of exponents (division of exponents)

Answer 8

x^m/ x^n = x^m-n