Question

(125×99+125)×16和5×999+5+99×7+7+3×9+3+9用简便算法怎么做

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Answer 1

(125×99+125)×16
=125×(99+1)×8×2
=(125×8)×100×2
=1000×100×2
=200000

5×999+5+99×7+7+3×9+3+9
=5×(999+1)+7×(99+1)+3×(9+1)+9
=5×1000+7×100+3×10+9
=5000+700+30+9
=5739

Answer 2

（125×99＋125）×16

=125*(99+1)*16
=125*100*16
=125*16*100
=125*8*2*100
=1000*200
=200000
5×999+5+99×7+7+3×9+3+9
＝5×（999＋1）＋7×（99＋1）＋3×（9＋1）＋9
＝5×1000＋7×100＋3×10＋9
＝5000＋700＋30＋9
＝5739

Answer 3

(125×99+125)×16=125(1+99)*4*4=100*125*4*4=200000

5×999+5+99×7+7+3×9+3+9
=5(1+999)+7(99+1)+3(9+1)+9
=5000+700+30+9=5739

Answer 4

（125×99+125）×16 =125×（99+1）×16 =125×100×8×2 =12500×8×2 =100000×2 =200000 5×999+5+99×7+7+9×3+3+9 =5×（999+1)+(99+1)×7+（9+1)×3+9 =5000+700+30+9 =5739