Question

[(6.624×5.74×0.25×0.8+1.76×5.74)×99]×101用估算和简便运算怎？

Answer 1

估算运算:[(6.624×5.74×0.25×0.8+1.76×5.74)×99]×101
=[(6.624×5.74×0.2+1.76×5.74)×100]×100
=[5.74×(6.624×0.2+1.76)×100]×100
=[574×3.0848×100]×100
=177067.52×100
=17706752。
简便运算:[(6.624×5.74×0.25×0.8+1.76×5.74)×99]×101
=[(6.624×5.74×0.2+1.76×5.74)×99]×101(先做0.25×0.8=0.2)
=[5.74×(6.624×0.2+1.76)×99]×101
=[574×3.0848×99]×101
=175296.8448×101
=17704981.32。

Answer 2

[(6.624x5.74x0.25x0.8+1.76x5.74)x99]x101=[(6.624x5.74x0.2+1.76x5.74)x99]x101=[(1.1.3248x5.74+1.76x5.74)x99]x101=[(3x5.74)99]101=17.22x99x101=17220,估算等于17220

Answer 3

[(6.624×5.74×0.25×0.8+1.76×5.74)×99]×101
=[(6.624×5.74×0.2+1.76×5.74)×99]×101(先做0.25×0.8=0.2)
=[5.74×(6.624×0.2+1.76)×99]×101
=[574×3.0848×99]×101
=175296.8448×101
=17704981.32。

Answer 4

估算运算:[(6.624×5.74×0.25×0.8+1.76×5.74)×99]×101
=[(6.624×5.74×0.2+1.76×5.74)×100]×100
=[5.74×(6.624×0.2+1.76)×100]×100
=[574×3.0848×100]×100
=177067.52×100
=17706752。
简便运算:[(6.624×5.74×0.25×0.8+1.76×5.74)×99]×101
=[(6.624×5.74×0.2+1.76×5.74)×99]×101(先做0.25×0.8=0.2)
=[5.74×(6.624×0.2+1.76)×99]×101
=[574×3.0848×99]×101
=175296.8448×101
=17704981.32。

Answer 5

[（6.624x5.74x0.25x0.8+1.76x5.74）x99]x101
=[（6.624x5.74x0.2+1.76x5.74）x 99]x101
=[5.74x（1.3248+1.76）x99]x101
=5.74x3.0848x（100-1）（100+1）
=5.74x3.0848（10000-1）（估算）
=5.74x3（10000-1）
=17.22（10000-1）
=172200-17.22
=172182.78