1. 用字母表示运算律。
加法交换律:
加法结合律:
乘法交换律:
乘法结合律:
乘法分配律:
加法交换律:
加法结合律:
乘法交换律:
乘法结合律:
乘法分配律:
答案
a+b=b+a
(a+b)+c=a+(b+c)
a×b=b×a
(a×b)×c=a×(b×c)
a×(b+c)=a×b+a×c
(a+b)+c=a+(b+c)
a×b=b×a
(a×b)×c=a×(b×c)
a×(b+c)=a×b+a×c
2. 在$□$里填合适的数,使各题能简便计算。
$13.75-(□ +0.27)$ $6.4× 17.4-6.4× □$
$3.94+1.58+□ +□$ $25× 125× □$
$13.75-(□ +0.27)$ $6.4× 17.4-6.4× □$
$3.94+1.58+□ +□$ $25× 125× □$
答案
0.73
7.4
0.06
0.42
32
7.4
0.06
0.42
32
3. 判断题。
(1)$12÷ 7.5-1.2÷ 0.75=0$()
(2)$1.2× 0.75-0.75× 1.2=0$()
(3)$1.2× 0.75÷ 1.2÷ 0.75=1$()

(4)$104-104× \frac {5}{8}=0$()
(1)$12÷ 7.5-1.2÷ 0.75=0$()
(2)$1.2× 0.75-0.75× 1.2=0$()
(3)$1.2× 0.75÷ 1.2÷ 0.75=1$()
(4)$104-104× \frac {5}{8}=0$()
答案
√
√
√
×
√
√
×
4. 下面各题,怎样算简便就怎样算。
$1.9-1.9× (1.9-1.9)$ $1200-197$ $\frac {8}{9}× [\frac {3}{4}-(\frac {7}{16}-\frac {1}{4})]$
$41× 101$ $5.6× 0.99$ $0.7+3.9+4.3+6.1$
$48× (\frac {1}{4}+\frac {1}{6}-\frac {1}{3})$ $97× \frac {1}{9}+2÷ 9$ $(\frac {5}{8}+\frac {3}{19})× 8-\frac {5}{19}$
$95.6× 1.8+0.44× 18$ $2.5× 32× 1.25$ $\frac {5}{19}× \frac {6}{13}+\frac {7}{19}× \frac {5}{13}$
$7.28-\frac {3}{8}+4.72-\frac {5}{8}$ $(3.14× 5+3.14× 3)× 1.25$
$1.9-1.9× (1.9-1.9)$ $1200-197$ $\frac {8}{9}× [\frac {3}{4}-(\frac {7}{16}-\frac {1}{4})]$
$41× 101$ $5.6× 0.99$ $0.7+3.9+4.3+6.1$
$48× (\frac {1}{4}+\frac {1}{6}-\frac {1}{3})$ $97× \frac {1}{9}+2÷ 9$ $(\frac {5}{8}+\frac {3}{19})× 8-\frac {5}{19}$
$95.6× 1.8+0.44× 18$ $2.5× 32× 1.25$ $\frac {5}{19}× \frac {6}{13}+\frac {7}{19}× \frac {5}{13}$
$7.28-\frac {3}{8}+4.72-\frac {5}{8}$ $(3.14× 5+3.14× 3)× 1.25$
答案
=1.9-1.9×0
=1.9
=1200-(200-3)
=1200-200+3
=1003
$=\frac 89×[\frac 34+\frac 14-\frac 7{16}]$
$=\frac 89×\frac 9{16}$
$=\frac 12$
=(0.7+4.3)+(3.9+6.1)
=5+10
=15
=41×(100+1)
=41×100+41×1
=4141
=5.6×(1-0.01)
=5.6×1-5.6×0.01
=5.6-0.056
=5.544
$=48×\frac 14+48×\frac 16-48×\frac 13$
=12+8-16
=4
$=97×\frac 19+2×\frac 19$
$=(97+2)×\frac 19$
$=99×\frac 19$
=11
$=\frac 58×8+\frac 3{19}×8-\frac 5{19}$
$=5+(\frac {24}{19}-\frac 5{19})$
=5+1
=6
=9.56×18+0.44×18
=(9.56+0.44)×18
=10×18
=180
=2.5×(4×8)×1.25
=(2.5×4)×(8×1.25)
=10×10
=100
$=\frac 5{19}×\frac 6{13}+\frac 5{19}×\frac 7{13}$
$=\frac 5{19}×(\frac 6{13}+\frac 7{13})$
$=\frac {5}{19}$
$=(7.28+4.72)-(\frac 38+\frac 58)$
=12-1
=11
=3.14×(5+3)×1.25
=3.14×(8×1.25)
=3.14×10
=31.4
=1.9
=1200-(200-3)
=1200-200+3
=1003
$=\frac 89×[\frac 34+\frac 14-\frac 7{16}]$
$=\frac 89×\frac 9{16}$
$=\frac 12$
=(0.7+4.3)+(3.9+6.1)
=5+10
=15
=41×(100+1)
=41×100+41×1
=4141
=5.6×(1-0.01)
=5.6×1-5.6×0.01
=5.6-0.056
=5.544
$=48×\frac 14+48×\frac 16-48×\frac 13$
=12+8-16
=4
$=97×\frac 19+2×\frac 19$
$=(97+2)×\frac 19$
$=99×\frac 19$
=11
$=\frac 58×8+\frac 3{19}×8-\frac 5{19}$
$=5+(\frac {24}{19}-\frac 5{19})$
=5+1
=6
=9.56×18+0.44×18
=(9.56+0.44)×18
=10×18
=180
=2.5×(4×8)×1.25
=(2.5×4)×(8×1.25)
=10×10
=100
$=\frac 5{19}×\frac 6{13}+\frac 5{19}×\frac 7{13}$
$=\frac 5{19}×(\frac 6{13}+\frac 7{13})$
$=\frac {5}{19}$
$=(7.28+4.72)-(\frac 38+\frac 58)$
=12-1
=11
=3.14×(5+3)×1.25
=3.14×(8×1.25)
=3.14×10
=31.4
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