题目内容
脱式计算(能简算的要简算).
①9
+99
+999
+9999
+99999
②(19.2+13
)×6.25+(4.08+26
)×6
③7.6×2009.5+(2009.5+12.5)×2.4
④1+2-3+4+5-6+7+8-9+…+601+602-603+604-606.
①9
| 4 |
| 5 |
| 4 |
| 5 |
| 4 |
| 5 |
| 4 |
| 5 |
| 4 |
| 5 |
②(19.2+13
| 7 |
| 19 |
| 12 |
| 19 |
| 1 |
| 4 |
③7.6×2009.5+(2009.5+12.5)×2.4
④1+2-3+4+5-6+7+8-9+…+601+602-603+604-606.
①9
+99
+999
+9999
+99999
,
=(9+99+999+9999+99999)+
×5,
=(10-1+100-1+1000-1+10000-1+100000-1)+4,
=111110-5+4,
=111110-1,
=111109;
②(19.2+13
)×6.25+(4.08+26
)×6
,
=(19.2+13
)×6.25+(4.08+26
)×6.25,
=(19.2+13
+4.08+26
)×6.25,
=[(19.2+4.08)+(13
+26
)]×6.25,
=(23.28+40)×6.25,
=63.28×6.25,
=395.5;
③7.6×2009.5+(2009.5+12.5)×2.4,
=7.6×2009.5+2009.5×2.4+12.5×2.4,
=2009.5×(7.6+2.4)+12.5×2.4,
=2009.5×10+12.5×8×0.3,
=20095+30,
=20125;
④1+2-3+4+5-6+7+8-9+…+601+602-603+604-606,
=(1+2-3)+(4+5-6)+(7+8-9)+…+(601+602-603)+(604-606),
=0+3+6+…+600-2,
=(0+600)×201÷2-2,
=600×201÷2-2,
=60300-2,
=60298.
| 4 |
| 5 |
| 4 |
| 5 |
| 4 |
| 5 |
| 4 |
| 5 |
| 4 |
| 5 |
=(9+99+999+9999+99999)+
| 4 |
| 5 |
=(10-1+100-1+1000-1+10000-1+100000-1)+4,
=111110-5+4,
=111110-1,
=111109;
②(19.2+13
| 7 |
| 19 |
| 12 |
| 19 |
| 1 |
| 4 |
=(19.2+13
| 7 |
| 19 |
| 12 |
| 19 |
=(19.2+13
| 7 |
| 19 |
| 12 |
| 19 |
=[(19.2+4.08)+(13
| 7 |
| 19 |
| 12 |
| 19 |
=(23.28+40)×6.25,
=63.28×6.25,
=395.5;
③7.6×2009.5+(2009.5+12.5)×2.4,
=7.6×2009.5+2009.5×2.4+12.5×2.4,
=2009.5×(7.6+2.4)+12.5×2.4,
=2009.5×10+12.5×8×0.3,
=20095+30,
=20125;
④1+2-3+4+5-6+7+8-9+…+601+602-603+604-606,
=(1+2-3)+(4+5-6)+(7+8-9)+…+(601+602-603)+(604-606),
=0+3+6+…+600-2,
=(0+600)×201÷2-2,
=600×201÷2-2,
=60300-2,
=60298.
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