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