Mathematics Algebra I-1 Concept for upper elementary grades leading up to the CSAT

Description

ⅠStructure and calculation of natural numbers
01 Structure of natural numbers
1. Natural numbers are made up of 10 numbers and place values.
decimal | Place value and the value each digit represents | Place value of large numbers | Number size comparison
2. A natural number is the sum of the values ​​represented by each digit.
Decimal expansion formula
3. Natural numbers increase by 1 starting from 1.
consecutive natural numbers | essence

02 Calculation of natural numbers (1)
1. 1 in the upper digit is 10 in the lower digit.
addition and subtraction | Addition and subtraction of large numbers
2. If it is ×10, it increases by one digit.
10, 100, 1000, … product of
3. If ÷10, it decreases by one digit.
10, 100, 1000, … quotient divided by
4. A natural number is the sum of the values ​​represented by each digit.
Multiplication (1)_Multiply a single digit number | Multiplication (2)_Multiplying numbers with two or more digits | Division (1)_Calculating with vertical calculation |
Division (2)_Remainder | Division (3)_Check

03 Calculation of natural numbers (2)
1. Addition and subtraction, multiplication and division are opposites of each other.
Relationship between addition and subtraction, multiplication and division
2. Calculate in order, starting with repeated operations.
Calculation order of addition and multiplication | Calculation order of addition, subtraction, multiplication, and division | Order of evaluation of expressions with parentheses |
Calculation of consecutive natural numbers
3. The expression can be changed to another expression with the same value.
Law of commutation | Combination law | distributive law | Equal signs and equations

ⅡProperties of natural numbers
01 Multiples and divisors
1. Natural numbers are either even or odd.
even and odd numbers
2. Multiples are numbers found through multiplication, and divisors are numbers found through division.
drainage | Drainage determination method | Medicinal water | Relationship between multiples and divisors | decimal | Factorization

3. Two or more natural numbers have common divisors.
Common divisor and greatest common divisor | Find the greatest common divisor | Find the greatest common divisor of three numbers |
Solve problems using the greatest common divisor
4. Two or more natural numbers have a common multiple.
Common multiple and least common multiple | Find the least common multiple | Find the least common multiple of three numbers |
Solve problems using least common multiple
5. Two natural numbers can be expressed as the greatest common divisor and least common multiple.
Relationship between two numbers and greatest common divisor | Relationship between two numbers, greatest common divisor, and least common multiple

02 Number estimation and range, sequence
1. Numbers can be estimated to the nearest value.
Abandon | upload | Rounds
2. Set standards to indicate the range of numbers.
Excess and ideal | less than and less than | Range of numbers with two bases | range of common people
3. The next number can be known by the rules for laying down the numbers.
sequence
4. The next number can be found through the relationship between neighboring numbers.
A sequence where the difference between two neighboring numbers is constant | A sequence in which the ratio of two neighboring numbers is constant