Number and Algebra Knowledge Arrangement
Anonymous | 20 12-06- 13 | Share
At the end of the sixth grade, I reviewed the arrangement of the first part of number and algebra with at least 10. Urgent!
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Knowledge points of number and algebra
Formulas related to numbers: 1, dividend/divisor = quotient 2, multiplier × multiplier = product 3, minuend-subtrahend = difference 4, addend+addend = sum.
Knowledge point 1: Integer
1, integer range
Integers include natural numbers and negative integers, or integers consist of positive integers, zero integers and negative integers.
(1) natural number
Meaning of natural numbers: When we count objects, the numbers 0, 1, 2, 3, 4, 5, ... are called natural numbers. The number of natural numbers is infinite and there is no maximum natural number.
Meaning of "0": "0" means that there is no object, and it occupies a place in counting, which means that there is no counting unit on this number. "0" can also indicate the starting point, demarcation point, etc. "0" is the smallest natural number.
(2) Positive numbers
Definition of positive numbers. Numbers like 8,16,200 ...................................................................................................................................................
The writing and reading of positive numbers can also be preceded by a+sign, for example, +8 is pronounced as: plus eight. You can usually omit the "+"sign.
(3) Negative numbers
Definition of negative numbers Numbers like-1, -5,-132 are called negative numbers. "One" is called negative sign.
The writing and reading of negative numbers begin with "one", for example,-15 is pronounced as: negative fifteen. The larger the number, the smaller the negative number.
"0" is neither positive nor negative.
(4) The connection and difference between integer and natural number.
Natural numbers are all integers, and integers are not all natural numbers, including negative integers.
Knowledge point 2: percentage
1, the meaning of percentage
(1) A fraction with a denominator of 100 is called a percentage.
(2) A number indicating that one number is a percentage of another number is called a percentage. Percentage is also called percentage or percentage.
Percent application problem knowledge points induction:
1, and find the common percentage, such as: compliance rate, pass rate, survival rate, germination rate, attendance rate, etc.
To find a percentage is to find the percentage of one number to another.
2. Find out how much one number is more (or less) than another. In real life, people often use a few percent increase, a few percent decrease and a few percent deposit to express the range of increase or decrease.
What percentage is A more than B (A-B)? B
What percentage is B less than A (A-B)?
3. Find the percentage of a number (unit "1") × percentage.
4. What percentage of a number is known? Find the percentage of this number = a number (unit "1").
A few discounts are only a few tenths, that is, tens of percent.
6. Money deposited in the bank at a certain interest rate is called principal.
The extra money paid by the bank when withdrawing money is called interest.
The ratio of interest to principal is called interest rate.
Interest = principal × interest rate× time
Percentages are usually not expressed in the form of fractions, but by the symbol "%",which is called the percent sign.
Knowledge point 2: Decimals
1, the meaning of decimal
Divide the integer "1" into 10, 100, 1000 ... such 1 is a few tenths, a few percent, and a few thousandths ... which can be expressed in decimals. One decimal place indicates a few tenths, two decimal places indicate a few percent, and three decimal places indicate a few thousandths.
2. Comparison of decimal size
Comparing the sizes of two decimals, first look at their integer parts, and the number with the larger integer part will be larger; The same is true for the integer part, where is the largest number in the tenth digit; One tenth of the numbers are the same, and the number with the largest number in the percentile is the largest. ...
3. Rewrite the numbers and find approximate values
Rewriting and omitting numbers A method of writing the mantissa after a certain number of this number into a divisor.
For the convenience of reading and writing, large numbers are often abbreviated to "10,000" or "100 million". For example: 2365500 = 2365500 (rewrite the number as "ten thousand"). Sometimes you can omit the mantissa of this number and write it as an approximation as needed. For example, 2,365,500 ≈ 2.37 million (the mantissa after ten thousand digits is omitted), sometimes it is required to keep a decimal approximation. Such as: 7.62983≈7.6 (keep one decimal place).
When taking divisors, methods such as rounding, one-step method and one-step method are often used to omit the mantissa after a certain digit of a number.
Knowledge point 3: score
1, the meaning of the fraction divides the unit "1" into several parts on average, which means that ... all expand >;
873287463 | 20 12-06- 13
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First, organize knowledge.
1, Numbers and Algebra
Knowledge points are integers.
1, definition of integer: Numbers like -3, -2,-1, 0, 1, 2 ... are called integers. Among integers, numbers greater than zero are called positive integers, and numbers less than zero are called negative integers. Positive integers, zero and negative integers are collectively referred to as integers.
2. Range of integers: In addition to natural numbers, integers also include negative integers. But in primary schools, integers usually refer to natural numbers.
3. Reading method: read from high to low, step by step, the zeros at the end of each stage are not read, and only a few zeros of other digits are read.
4. Writing method: from high to low, write step by step. If there is no unit on any number, write 0 on that number.
Knowledge point 2 natural number
1, definition of natural number: When we count objects, 0, 1, 2, 3, ... the numbers used to represent the number of objects are called natural numbers.
2. Basic unit of natural number: Any natural number other than "0" is composed of several "1", so "1" is the basic unit of natural number.
3. The meaning of "0": there is no object, which is represented by "0", but it does not mean that "0" only means there is no object, it has many meanings.
Knowledge point 3 is the method of comparing integer sizes.
1, positive integer comparison method with different digits: when the digits are different, the number with more digits is larger.
2. Comparison method of positive integers with the same number of digits: if the number of digits is the same, the number with the largest number from the left is larger; If you are the first one from the left ... expand it all >
Wuzhu Cang Xue | 20 12-06- 14
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