Similarities and differences in addition, subtraction, multiplication and division?

Similarities: Both decimal and integer operations are done according to the rules of addition, subtraction, multiplication and division;

Differences: After calculating the product by decimal multiplication, it is necessary to see how many decimal places there are in the factor, so count the number from the right side of the number, and point to the decimal point; Before calculating decimal division, turn the divisor into an integer.

Decimal multiplication note]: The last digit is aligned, multiply according to the integer multiplication, after calculating the product, it is necessary to see how many decimal places there are in the factor, and count the number from the right side of the number, and point to the decimal point.

Decimal division note]: first expand the divisor to an integer, and the dividend is also expanded by the corresponding multiple, and the decimal point of the quotient should be aligned with the decimal point of the dividend. The quotient is written on the top of the digit to which it is divided, and the remainder is smaller than the divisor.

To see whether this step is divided, it depends on whether there is a quotient and remainder in this step. Also, first of all, you have to bring up the decimal point, and divide it to the nearest digit, and bring down the number of the digit.

Similarities and differences in the laws of addition and subtraction.

Similarity: The same digit alignment.

Differences: Addition, subtraction, and multiplication are calculated from the single digit, and division is calculated from the high position; The rules of calculation are different.

It's no different, except that you can't remove zero, everything else can be, division is the reverse calculation of multiplication, which is equivalent to subtraction; Multiplication is to add, and subtraction is the inverse of addition. Addition, this is the most basic, so there is an adder, which can derive other functions. That is, the computer will actually add, because of the adder.

Similarities: The addition is full 10 to the previous digit by 1 (e.g., 333+667 then 1 to the previous digit, 3+6+1=10).

1 more forward position, 3 + 6 + 1 = 10

1 more forward position

The answer is 1000), the subtraction is not enough to ask the previous one to borrow 1 (for example: 26-176-7 is not enough to subtract.

To ask before borrowing 1 when 10

6 asked 2 borrowed 1

Then the single digit is 16-7=9

Tens (2-1)-1=0

The single digit 9 plus the ten digit 0 equals 9).

Differences: When adding and subtracting integers, pay attention to aligning the same digits; When adding and subtracting decimals, pay attention to aligning the decimal points.

100 percent, all by myself.

1. Similarities:

The operation of integers, decimals, and fractions all follow the four rules of operation.

1) additive commutative law a+b b+a;

2) additive associative law (a+b) c a+(b+c);

3) the commutative law of multiplication a b b a;

4) multiplicative associative (a b) c a (b c);

5) Multiplicative distributive law a (b+c) ab+ac.

2. Differences:

1) The conditions for the reduction of the slag are different.

Integers can be added or subtracted by aligning digits; Decimals can only be added or subtracted after aligning digits and decimal points; Scores can only be added or subtracted after they have been scored.

2) The conditions for multiplication and division are different.

Integer direct search for missing multiplication division; Decimal multiplication is calculated according to the integer multiplication rule, and decimal division converts the divisor into an integer, and then calculates according to the integer division rule; Fraction division is converted into fraction multiplication, according to fraction multiplication numerator multiplication, denominator multiplied by denominator, and then divided to calculate.

Addition and subtraction of integers, addition and subtraction of decimals, and addition and subtraction of fractions have the same meaning, but the rules of calculation are different. However, the theoretical basis of the calculation rule is the same: only numbers with the same counting unit or fractional unit can be directly added (subtracted), so when the whole number or decimal addition and subtraction method is calculated vertically, the digits or decimal points must be aligned first.

When adding or subtracting fractions with different denominators, the fraction should be scored first so that the fractional units are the same. 【Thinking Exercise】 Regarding "addition and subtraction of integers", "addition and subtraction of decimals", and "addition and subtraction of fractions", the following statement is wrong ( c ). a .

They mean the same thing. b.The calculation must follow the principle that the same units can be directly added and subtracted.

c.They are also calculated by the same law.