Question

99X99+199用简便方法计算

Answer 1

99*99+199
=99*99+99+100
=（99+1）*99+100
=100*99+100
=100*（99+1）
=100*100
=10000

Answer 2

99X99+199
=99X99+99+100
=99X（99+1）+100
=99X100+100
=9900+100
=10000

Answer 3

乘法分配律为：两个数的和与一个数相乘，先将它们与这个数分别相乘，再相加，积不变．即：（a+b）×c=a×c+b×c．反过来则：a×c+b×c=（a+b）×c
99×99+199
= 99× 99+99+100
= 99× (99+1）+100
= 99×100+100
= 100× ( 99+1）
= 100×100
=10,000

Answer 4

100x99+200-99-1

Answer 5

99ⅹ99+99+100
99×（99+1）+100
99×100+100
9900+100
10000