Problem solving process:

83× 18+ 18× 17

=(83+ 17)× 18

= 100× 18

= 1800

Simple mathematical calculation method:

1, additive commutative law: a+b=b+a two addend exchange positions, and the sum remains unchanged, which is called additive commutative law.

2, the law of addition and association: (A+B)+C = A+(B+C) Add the first two numbers or add the last two numbers first, and the sum is unchanged. This is the so-called law of addition and association.

3. Multiplicative commutative law: a×b=b×a commutates the positions of two factors, and the product remains unchanged. This is the so-called multiplication commutative law.

4. Multiplication and association law: (a×b)×c=a×(b×c) or a×b×c=a×(b×c) Multiply the first two numbers or multiply the last two numbers first, and the product remains unchanged. This is the so-called multiplicative associative law.

5. Multiplication distribution law: (a+b)×c=a×c+b×c or (a-b)×c=a×c-b×c The inverse application of multiplication distribution law: a×c+a×b=(a+b)×c or a× c-b× c =