Question

510×42+108×24的简便运算？

510×42+108×24

Answer 1

510×42
=5×102×6×7
=5×6×7×（100+2）
=210×100+210×2
=2100+420
=2520

108×24
=（100+8）×24
=2400+192
=2592

Answer 2

根据题意可以将上题化简为：
510x42＋108x24
＝170x3x6x7＋36x3x6x4
＝（170x7＋36x4）x3x6
＝（1490＋144）x3x6
＝1634x3x6
＝29412

Answer 3

510×42+108×24
=(500+10)×(40+2)+(100+8)×(20+4)
=500×40+500×2+10×40+10×2+100×20+100×4+8×20+8×4
=20000+1000+400+20+2000+400+160+32
=20000+(1000+2000)+(400+400)+(20+32)+160
=20000+3000+800+52+160
=23000+800+(50+2)+(100+50+10)
=23000+800+50+2+100+50+10
=23000+(800+100)+(50+50)+(2+10)
=23000+900+100+12
=23000+1000+12
=24000+12
=24012

Answer 4

510×42+108×24
=510×7×6+108×4×6

=3570×6+432×6

=(3570+432)×6

=24012

Answer 5

510×42+108×24
=(500+10)×6×7+(100+8)×6×4
=6×[3500+70+400+32]
=6×4002
=24012