中括号3065减小括号98+87,小括号中括号除以36的简便运算是多少?
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利用四则运算的交换结合律,加上分解质因数来计算,具体过程可以心算;
98 = 100 - 2, 87 = 100 - 13; 98 + 87 = 100*2 - (2+13) = 200 - 15.
3065 - (98 + 87)= 3065 - (200 - 15)= 3065 - 200 + 15 = 3065 + 15 - 200 = 3080 - 200 = 2880.
2880 = 2^6 * 3^2 * 5 = 4 * 16 * 9 * 5 = (4*9)*(5*16) = 36 * 80
2880 / 36 = 80; 故[3065 - (98 + 87)] / 36 = 80.
98 = 100 - 2, 87 = 100 - 13; 98 + 87 = 100*2 - (2+13) = 200 - 15.
3065 - (98 + 87)= 3065 - (200 - 15)= 3065 - 200 + 15 = 3065 + 15 - 200 = 3080 - 200 = 2880.
2880 = 2^6 * 3^2 * 5 = 4 * 16 * 9 * 5 = (4*9)*(5*16) = 36 * 80
2880 / 36 = 80; 故[3065 - (98 + 87)] / 36 = 80.
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