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Friday, 26 March 2021

Study Notes - Mathematics

Today in Mathematics, we are making study notes on numbers for our topic test on Friday. So I went to my maths site and here we are going to assign what the notes are.

Study Notes: 

1) Number

Multiples: The meaning of a multiple is the product result of 

one number multiplied by another number.

Example  3, 6, 9, 12, 18 ...

Factors: A factor is a number that is able to divide a number 

completely without leaving any numbers remaining. 

Example → 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. 

The other factors of 12 are 1, 2, 4, and 12.

Prime Number: Prime numbers are numbers that have 

only 2 factors: 1 and themselves. 

Example→ Prime numbers are 2, 3, 5, 7, and 11. 

HCF (Highest Common Factor): The largest whole number, which is 

shared by multiple numbers. 

Example → The highest common factor between 8 and 12 is 4.

LCM (Lowest Common Multiple): The lowest common multiple between two numbers.

Example →The lowest common multiple between 3 and 4 is 12

2) Order Of Operations

B: Brackets 

E: Exponents

D: Division

M: Multiple

A: Addition

S: Subtraction

Example → (5x6) x 1² ÷3 - 8 + 4

30 x 1² ÷3 - 8 + 4 =

30 x 1÷3 - 8 + 4  =

30 ÷ 3 - 8 + 4 =

10 - 8 + 4 =

2 + 4 =

Answer: 6

3) Rounding 

Meaning: Rounding implies simplifying a number yet keeping its worth near what it was. The outcome is less exact.

DP = Decimal Point

6.35719 to 2dp ... '5' is higher therefore we round it up to the nearest 10 which means the answer is 6.40

4) Standard Form 

Meaning: Standard form allows us to write numbers without using as many digits.

Examples →

5432 = 5.432 x 10 ³

14 500 = 1.45 x 10 ⁴

0.00045 = 4.5 x 10 -⁴