用简便方法计算. 708×99+708 2.9×101 7[2/11]+2.75+2[9/11]+[1/4] 8×(72

1个回答

  • 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;

    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.