Study Notes

Walt: Study Notes

Here are the list of study notes from Maths;

1. Numbers;

• Multiples -
  The product result of one number multiplied by another number. The meaning of a multiple is the product result of one number multiplied by another number.
  7: 7, 14, 21, 28, 35....
  10: 10, 20, 30, 40, 50....

• Factor -
  A divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
  16: 1, 2, 4, 8, 16
  30: 1, 2, 3, 5, 6, 10, 15, 30

• Prime number -
  A number that has exactly 2 factors – itself and one. It can only be divided into these two numbers.
  between 1 and 20; 2, 3, 5, 7, 11, 13, 17, 19

• Composite numbers -
  The numbers can be defined as the whole numbers that have more than two factors.
  before 20; 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20

• HCF (Highest common factor) -
  The highest number that can be divided exactly into each of two or more numbers.
  12: 1, 2, 3, 4, 6, 12
  18: 1, 2, 3, 6, 9, 18
  HCF = 6

• LCM (Lowest common multiple) -
  The lowest quantity that is a multiple of two or more given quantities.
  4: 4, 8, 12, 16, 20, 24, 28....
  6: 6, 12, 18, 24, 30, 36, 42....
  LCM = 12

2. Order of Operations;
We use BEDMAS to solve problems with multiple operations.

• B - Brackets

• E - Exponents

• D - Division

• M - Multiplication

• A - Addition

• S - Subtraction

3. Rounding;

• Decimal Place Rounding -
  Round 6.35719 to 2dp

Counting the number of decimal places are required and draw a line. 6.35719

If the NEXT number is a 5 or higher, round the LAST digit up.

6.35719 = The next number is a 5 or higher so round the last number up.

If the NEXT number is a 0-4 leave the last digit alone.

Round 6.35719 to 2dp = 6.40

4. Standard Form;

• Standard form allows us to write numbers without using any digits.
• A number in Standard form is written into two parts:
  Number from 1 to 9 X power of 10
  
  
• 35946 (first number must be from 1-9)
  followed by power of 10
  ANSWER: 3.5946 x 104

(104 means the first digit has been moved 4 places)

The first number must be from 1-9 followed by power of 10

• 5432 = 5.432 x 103 = 54.32 x 102
• 14500 = 1.45 x 104 = 14.5 x 103
• 5000000 = 5 x 106 = 5000 x 103
• 17 = 1.7 x 10 = 17 x 1
• 6 = 6 x 100 = 6 x 1

Negative exponents are used for any number less than 1 (numbers that start with 0)

• 0.08 = 8 x 10-2 = 0.8 x 10-1
• 0.092 = 9.2 x 10-2
• 0.00000864 = 8.64 x 10-6 = 864 x 10-8