Foundations

Question 1

Number

Answer 1

Number

Question 2

Magnitude/absolute value and it’s symbol?

Answer 2

• Magnitude or absolute value is the size of a number, regardless of negative or positive.
• Symbol for magnitude is |800|
  (Either + or - 800 are the same)

Question 3

Real and unreal numbers?

Answer 3

• Real numbers are any numbers and any type of numbers from the number line, + or -

Question 4

Symbol and Meaning

Answer 4

Symbol and Meaning

Question 5

What is convention?

Answer 5

It’s what we in general agreed to stick to. Anyone can use anything for anything but as a whole we stick to one method.

There are rigid conventions and there are softer ones where you do not need to be strict.

Question 6

What is the dot symbol?

Answer 6

The . is used, rather then x as it’s neater.

Question 7

What are confusing symbols?

Answer 7

Some symboles can mean more then one things but we use context to identify them.

I.e: -7 can mean negative 7 or subtract 7

But 7–7, the first - means to subtract and second - means negative 7, in context.

Question 8

What are the 4 different personalities of fractions?

Answer 8

1. Position on the number line
2. Parts of a whole
3. Division 1*2
4. Rational number or ratio 2:7

Question 9

What are the 2 most important personalities of fractions?

Answer 9

1. We use position on the number line, rather then decimals.]
2. Division, but we use the line rather the division symbol

Question 10

What is the secret 1?

Answer 10

The secret 1 hides:

1. If top and bottom of a fraction is same = 1
2. Every number has 1 hidden beneath it
3. After cancelling, if there is nothing on top, there is a secret 1.

Question 11

Identities 1

Answer 11

Sometimes some expressions are definitely equal: 20x = 14x+6x

Sometimes, they are definitely not: 20 = 14+7

Sometimes, it might be: 20x = 14x+6

Question 12

Which expressions are identities?

Answer 12

An expression is an identity, if it’s 2 expressions are definitely equal and they both have at least one unknown.

2(x-4) = 2x-8

Otherwise, it is not an identity

Question 13

What is the identity symbol and why can’t they be solved?

Answer 13

The symbol is ≡

They are not solvable as they will always go back to the original

Question 14

What does mathematically undefined mean?

Answer 14

It means, something that does not make sense in maths.

Such as, you cannot divide by 0.

Question 15

Arithmetic

Answer 15

Arithmetic

Question 16

What is distributive property?

Answer 16

It’s another term for expanding bracket.

The fact that we multiply the term outside the bracket with everything inside the bracket.

Question 17

How to factorise fully?

Answer 17

Take the highest common factor when factorising.

Question 18

How to factorise into a pair of bracket, when you cannot find the HCF?

Answer 18

6x²-19x+15
a b c

1. Multiply a*b = 90
2. Find factor pairs of 90 which add to make b (19) = 1,90 2,45 3,30 5,18 6,15 9,10
3. It’s 9,10
4. Replace 19x with factor pairs = 6x²+9x +10x+15

Then factorise 2 brackets, if brackets match then put all is 2 brackets and that’s done