用简便方法计算,并要写出主要的简算过程. ①7/11+1/5+4/11+3/5 ②12.5×8×4×0.25 ③5-9/4÷45/8-3/5 ④4.9×6.4+14×0.36-6.4×3.5.
问题描述:
用简便方法计算,并要写出主要的简算过程.
①
+7 11
+1 5
+4 11
3 5
②12.5×8×4×0.25
③5-
÷9 4
-45 8
3 5
④4.9×6.4+14×0.36-6.4×3.5.
答
①
+7 11
+1 5
+4 11
,3 5
=(
+7 11
)+(4 11
+1 5
),3 5
=1+
,4 5
=1
;4 5
②12.5×8×4×0.25,
=(12.5×8)×(4×0.25),
=100×1,
=100;
③5-
÷9 4
-45 8
,3 5
=5−
×9 4
−8 45
,3 5
=5−
−2 5
,3 5
=5-(
+2 5
),3 5
=5-1,
=4;
④4.9×6.4+14×0.36-6.4×3.5,
=(4.9-3.5)×6.4+14×0.36,
=1.4×6.4+1.4×3.6,
=1.4×(6.4+3.6),
=1.4×10,
=14.