问题 解答题
直接写得数:
①3.25×
2
7
+3
1
4
÷1
2
5
=______.
②(
1
6
+
7
10
-
4
15
)×30+1.01×99=______.
③499
494
499
÷5=______.
④1994
1
2
×79+
6
25
×790+244.9=______.
⑤19×(
1
21
-
1
23
)-2×(
1
6
-
1
21
)-4×(
1
6
+
1
23
)=______.
⑥方程:5(2x-9)-2(x-7)=6x-1的解是:x=______.
⑦方程:
x
2
+
x-3
4
=
2x-4
8
的解是:x=______.
答案

①3.25×

2
7
+3
1
4
÷1
2
5

=3

1
4
×
2
7
+3
1
4
×
5
7

=3

1
4
×(
2
7
+
5
7
),

=3

1
4
×1,

=3

1
4

②(

1
6
+
7
10
-
4
15
)×30+1.01×99,

=(

1
6
×30+
7
10
×30-
4
15
×30)+1.01×99,

=(5+21-8)+1.01×99,

=18+1.01×(100-1),

=18+(1.01×100-1.01×1),

=18+(101-1.01),

=18+99.99,

=117.99;

③499

494
499
÷5,

=499

494
499
×
1
5

=(500-

5
499
)×
1
5

=500×

1
5
-
5
499
×
1
5

=100-

1
499

=99

498
499

④1994

1
2
×79+
6
25
×790+244.9,

=1994.5×79+2.4×79+79×3.1,

=79×(1994.5+2.4+3.1),

=79×2000,

=158000;

⑤19×(

1
21
-
1
23
)-2×(
1
6
-
1
21
)-4×(
1
6
+
1
23
),

=19×

1
21
-19×
1
23
-2×
1
6
+2×
1
21
-4×
1
6
-4×
1
23

=

19
21
-
19
23
-
2
6
+
2
21
-
4
6
-
4
23

=(

19
21
+
2
21
)-(
19
23
+
4
23
)-(
2
6
+
4
6
),

=1-1-1,

=-1;

⑥5(2x-9)-2(x-7 )=6x-1,

10x-45-2x+14=6x-1,

8x-31=6x-1,

8x-31+31=6x-1+31,

8x=6x+30,

8x-6x=6x+30-6x,

2x=30,

2x÷2=30÷2,

x=15;

x
2
+
x-3
4
=
2x-4
8

4x+2×(x-3)=2x-4,

4x+2x-6=2x-4,

6x-6=2x-4,

6x-6+6=2x-4+6,

6x=2x+2,

6x-2x=2x+2-2x,

4x=2,

4x÷4=2÷4,

x=0.5.

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