Question

请教：简便运算 44x2+44x22+4444 999x111+333x667

Answer 1

原式=44×2+44×22+4400+44
=44×2+44×22+44×100+44
=44×(2+22+100+1)
=44×125
=11×4×125
=11×(4×125)
=11×500
=5500

原式=999x111+333x667
=3x333x111+333x667
=333x3x111+333x667
=333x333+333x667
=333×(333+667)
=333×1000
=333000
算法的关键在于能够看出4400与44，以及999与333的关系

Answer 2

简便运算 44x2+44x22+4444 999x111+333x66744x2+44x22+4444
=44×（2+22+101）
=44×125
=11×4×125
=11×500
=5500
999x111+333x667
=333×3×111+333×667
=333×（333+667）
=333×1000
=333000

Answer 3

44x2+44x22+4444
=44x2+44x22+44x101
=44x(2+22+101)
=11x4x125
=11x500
=5500

999x111+333x667
=333x333+333x667
=333x(333+667)
=333x1000
=333000

Answer 4

44x2+44x22+4444
=44×(2+22+101)
=44×125
=11×(4×125)
=11×500
=5500

999x111+333x667
=333×333+333×667
=333×(333+667)
=333×1000
=333000

Answer 5

44x2+44x22+4444
=44x2+44x22+44x101
=44x(2+22+101)
=11x4x125
=11x500
=5500