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 =