計算下列各題,怎樣簡便就怎樣計算.
4.6×4.9
4.8×9.25×7.6
4.2×99+4.2
5.6÷3.5
9.6÷0.8÷0.4
17.8÷(1.78×4)
解:(1)4.6×4.9,
=4.6×(5-0.1),
=4.6×5-4.6×0.1,
=23-0.46,
=22.54;
(2)4.8×9.25×7.6,
=44.4×7.6,
=337.44;
(3)4.2×99+4.2,
=4.2×(99+1),
=4.2×100,
=420;
(4)5.6÷3.5=1.6;
(5)9.6÷0.8÷0.4,
=12÷0.4,
=30;
(6)17.8÷(1.78×4),
=17.8÷1.78÷4,
=10÷4,
=2.5.
分析:(1)4.6×4.9,將原式轉化為:4.6×(5-0.1),再運用乘法分配律簡算;
(2)4.8×9.25×7.6,按照小數乘法的計算法則進行計算;
(3)4.2×99+4.2,運用乘法分配律簡算;
(4)5.6÷3.5,根據小數除法的計算法則計算;
(5)9.6÷0.8÷0.4,根據小數除法的計算法則計算;
(6)17.8÷(1.78×4),根據除法的運算性質進行簡算.
點評:此題考查的目的是掌握小數四則運算的計算法則,并且能夠靈活運用運算定律和運算性質進行簡算.