解题思路:①708×99+708,运用乘法分配律简算;
②2.9×101,运用乘法分配律简算;
③7[2/11]+2.75+2[9/11]+[1/4],运用加法交换律和结合律简算;
④8×(72×25)运用乘法交换律和结合律简算;
⑤0.25×(0.4+8),运用乘法分配律简算;
⑥45×([2/9]+[7/15]-[1/5]),运用乘法分配律简算;
⑦
28.4−(8.4+
5
9
)
,根据减法的运算性质简算;
⑧19[5/16]×8,运用乘法分配律简算;
⑨16.5-3.43-2.57,根据减法的运算性质简算.
①708×99+708
=708×(99+1)
=708×100
=70800;
②2.9×101
=2.9×100+2.9×1
=290+2.9
=292.9;
③7[2/11]+2.75+2[9/11]+[1/4]
=(7
2
11+2
9
11)+(2.75+0.25)
=10+3
=13;
④8×(72×25)
=72×(8×25)
=72×200
=14400;
⑤0.25×(0.4+8)
=0.25×0.4+0.25×8
=0.1+2
=2.1;
⑥45×([2/9]+[7/15]-[1/5])
=45×
2
9+45×
7
15−45×
1
5
=10+21-9
=22;
⑦28.4−(8.4+
5
9)
=28.4−8.4−
5
9
=20−
5
9
=19
4
9;
⑧19[5/16]×8
=19×8+
5
16×8
=152+
5
2
=154.5;
⑨16.5-3.43-2.57
=16.5-(3.43+2.57)
=16.5-6
=10.5.
点评:
本题考点: 运算定律与简便运算.
考点点评: 此题考查的目的是理解掌握加法、乘法的运算定律和减法的运算性质,并且能够理解运用这些运算定律和运算性质进行简便计算.