简便运算.4.7×2.8+2.
简便运算.4.7×2.8+2.5×2.8+7.2×7.29.8+99.8+999.8+9999.8+99999.82÷2010+4÷2010+6÷2010+…+2008÷...
简便运算.4.7×2.8+2.5×2.8+7.2×7.29.8+99.8+999.8+9999.8+99999.82÷2010+4÷2010+6÷2010+…+2008÷2010+2010÷2010.
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(1)4.7×2.8+2.5×2.8+7.2×7.2
=(4.7+2.5)×2.8+7.2×7.2
=7.2×2.8+7.2×7.2
=7.2×(2.8+7.2)
=7.2×10
=72;
(2)9.8+99.8+999.8+9999.8+99999.8
=(10-0.2)+(100-0.2)+(1000-0.2)+(10000-0.2)+(100000-0.2)
=111110-0.2×5
=111110-1
=111109;
(3)2÷2010+4÷2010+6÷2010+…+2008÷2010+2010÷2010
=
+
+
+…+
+1
=
+
+
+…+
+1
=
+1
=
+1
=502+1
=503.
=(4.7+2.5)×2.8+7.2×7.2
=7.2×2.8+7.2×7.2
=7.2×(2.8+7.2)
=7.2×10
=72;
(2)9.8+99.8+999.8+9999.8+99999.8
=(10-0.2)+(100-0.2)+(1000-0.2)+(10000-0.2)+(100000-0.2)
=111110-0.2×5
=111110-1
=111109;
(3)2÷2010+4÷2010+6÷2010+…+2008÷2010+2010÷2010
=
2 |
2010 |
4 |
2010 |
6 |
2010 |
2008 |
2010 |
=
1 |
1005 |
2 |
1005 |
3 |
1005 |
1004 |
1005 |
=
1+2+3+…+1004 |
1005 |
=
(1+1004)×1004÷2 |
1005 |
=502+1
=503.
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