Study Notes - Number

Study Notes - Number

1) Numerals

     Multiples - a number that can be divided by another number a certain number of times without a remainder

     Factors - a number or quantity that when multiplied with another has the final product with having a decimal only a whole

     Prime numbers - a number that only has 2 factors, itself and 1

     HCF - (highest common factor) 

     LCF - (lowest common factor) 

2) Order of Operations 

     B ~ Brackets 

     E ~ Exponents 

     D ~ Division

     M ~ Multiplications 

     A ~ Addition

     S ~ Subtraction 

For example, 5^3 + 4 (6 x 9) = ??, following the Order of Operations you start with brackets (), e.g. (6x9) = 54... rewrite the equation to 5^3 + 4 x 54 = ??, then next of Order of Operations is exponents ^e.g. 5^3 = 125... rewrite the equation to 125 + 4 x 54 = ??, next is division but there are no division in the equation. Next is multiplication x, e.g. 4 x 54 = 216... rewrite the equation to 125 + 216 which would finally equal to 341. Now 5^3 + 4 (6 x 9) = 341.

3) Rounding

What is "Rounding"? Rounding implies simplifying a number yet keeping its worth near what it was. The outcome is less exact.

For example, Round 6.35719 to 2dp, If the NEXT number is a 5 or higher then round the LAST digit UP If the NEXT number is a 0-4, leave the last digit alone... 6.35719 to 2dp... "5" is higher so round up so it equals to 6.40.

4) Standard Form

The standard form allows us to use multiple numbers without as many digits. 

5)Percentage of Amounts

Percentage formula ~ p% * x = y... Convert 10% to a decimal by eliminating the percent sign and partitioning by 100: 10/100 = 0.10.