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Addition Mental Arithmetic Tips

1, non-digitized addition equations: (Be sure to look at the digits first)

Addition Mental Arithmetic Tips

A: Two-digit plus one-digit numbers: Write the tens digit first, then follow with the sum of the single-digit numbers.

B Two-digit plus two-digit numbers: write the sum of the tens digit followed by the sum of the ones digit

C Multi-digit plus multi-digit numbers: start from the higher digit and write the sum of the numbers in the same digit in turn?

2.? Progressive addition equations (be sure to watch for rounding)

Addition Quick Tips? The key to progressive addition is to the higher place into 1, into 1 since it is already a certain thing, can not be first 1? You can count from the higher place first after good observation.

A two-digit plus one-digit: first write the sum of the ten-digit plus 1, and then follow with the digit of the sum of the single-digit (using the addition mnemonic within twenty)?

B two-digit plus one-digit: first write the two-digit sum to ten, and then write the remaining digits of the one-digit sum. (i.e., separate one digit to help the two digits to make ten)

Addition Quick Tips 15+8=Process: 15+5=20Write 2 first, and then write the remaining 3 after the 8 is divided out of 5, and then proceed to write 3.?

Expansion:

Addition is the repetition or accumulation of things that are exactly the same, that is, things of the same kind, and it's the beginning of the numerical operations, and it's different from classes such as one apple + one The result can only be equal to two fruits, there is a relationship between classification and categorization.

Subtraction is the inverse of addition; multiplication is a special form of addition; division is the inverse of multiplication; multiplication is a simple form of multiplication; square is the inverse of multiplication; logarithm is to find the law in the multiplication of the various items; the development of the derivative from the logarithm; and then differential and integral. The development of numerical operations is a more special case, a pattern under a higher degree of repetition.

There are a number of binary operations that can be regarded as generalizations of the operation of addition to real numbers. The field of abstract algebra concentrates on such generalized operations, and they also appear in set theory and category theory.

Addition in abstract algebra

Vector addition:

In linear algebra, a vector space is an algebraic structure that allows the addition of any two vectors and scaling vectors. A familiar vector space is the set of all ordered pairs of real numbers; the ordered pair (a, b) is interpreted as the vector from the origin in the Euclidean plane to the point (a, b) in the plane. The sum of two vectors is obtained by adding their respective coordinates:

This addition is at the heart of classical mechanics, where vectors are interpreted as forces.

Matrix Addition:

Matrix addition is defined for two matrices of the same size. The sum of two m × n (pronounced "m by n") matrices A and B, denoted by A + B, is the matrix computed by adding the elements, e.g.

Addition in set theory and category theory

Additions to the natural numbers are made by adding ordinal and cardinal numbers to set theory. These give two different generalizations of the natural numbers. Unlike most addition operations, the addition of ordinals is not exchangeable. However, adding bases is an exchange operation closely related to the disjoint union operation.

In category theory, disjoint addition is regarded as a special case, and is generally perhaps the most abstract of all addition generalizations. For example, direct sums and wedge sums are named as added connections.