要简算 (57 times 813 times 710),我们可以利用乘法的交换律和结合律来简化计算过程。
我们可以将57和710相乘,因为这两个数比较容易计算:
[ 57 times 710 = 57 times (700 + 10) = 57 times 700 + 57 times 10 ]
[ 57 times 700 = 57 times 7 times 100 = 399 times 100 = 39900 ]
[ 57 times 10 = 570 ]
所以,
[ 57 times 710 = 39900 + 570 = 40470 ]
接下来,我们将得到的结果与813相乘:
[ 40470 times 813 ]
为了简化这个乘法,我们可以将813分解为800和13,然后分别乘以40470,最后将结果相加:
[ 40470 times 800 = 40470 times (8 times 100) = (40470 times 8) times 100 ]
[ 40470 times 8 = 323760 ]
[ 323760 times 100 = 32376000 ]
现在计算 (40470 times 13):
[ 40470 times 13 = 40470 times (10 + 3) = 40470 times 10 + 40470 times 3 ]
[ 40470 times 10 = 404700 ]
[ 40470 times 3 = 121410 ]
所以,
[ 40470 times 13 = 404700 + 121410 = 526110 ]
将两个结果相加:
[ 32376000 + 526110 = 32902610 ]
因此,(57 times 813 times 710) 的结果是 32902610。