99×37+37用简便方法怎么计算

2025-03-15 13:10:50
推荐回答(2个)
回答1:

99×37+37=3700

简便算法解题步骤:

99×37+37

=99×37+37×1

=(99+1)×37

=100×37

=3700

该题运用的简便算法法则是:乘法分配律。

定义:两个数的和与一个数相乘,可以先把它们与这个数分别相乘,再相加。

字母表示:a×c+b×c=(a+b)×c

简便计算中乘法分配律及其逆运算是运用最广泛的一个,一个要掌握它和它的逆运算。

扩展资料:

加减法运算定律

1、加法交换律

定义:两个加数交换位置,和不变。

字母表示:a+b=b+a

2、加法结合律

定义:先把前两个数相加,或者先把后两个数相加,和不变。

字母表示:(a+b)+c=a+(b+c)

注意:加法结合律有着广泛的应用,如果其中有两个加数的和刚好是整十、整百、整千的话,那么就可以利用加法。

3、减法的性质

注:这些都是由加法交换律和结合律衍生出来的。

减法性质:如果一个数连续减去两个数,那么后面两个减数的位置可以互换。

字母表示:a-b-c=a-c-b

回答2:


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