30/6*7/10*12/4=
-10/3 + 13/10-1/6+7/10
1-20/6 +39/30-4/24+34/50
15/24-6/26+28/48-30/39+10/24
-5/10+12/28-3/27-7/18+20/35
Tính (theo mẫu) :
Mẫu: 4 × 5 + 10=20 + 10=30 |
---|
a) 4 × 6 + 6 = ....... = .......
b) 4 × 7 + 12 = ...... = ......
c) 4 × 9 + 24 = ..... = ......
d) 4 × 2 + 32 = ..... = .....
Phương pháp giải:
- Tính giá trị của phép nhân.
- Cộng với số còn lại.
- Trình bày bài theo mẫu.
Lời giải chi tiết:
a) 4 × 6 + 6 = 24 + 6 = 30
b) 4 × 7 + 12 = 28 + 12 = 40
c) 4 × 9 + 24 = 36 + 24 = 60
d) 4 × 2 + 32 = 8 + 32 = 40
a) 4 × 6 + 6 = 24 + 6 = 30
b) 4 × 7 + 12 = 28 + 12 = 40
c) 4 × 9 + 24 = 36 + 24 = 60
d) 4 × 2 + 32 = 8 + 32 = 40
hãy tính nhanh:
A.1+2+3+4+5+6+7+8+9+10+11+12+13-14=?
B.30-29+28-27+26-25+24-23+22-21...+12-11+10-9+8-7+6-5+4-3+2-1=?
bài 2: tính nhanh :
a) 3/8 + 7/12 + 10/16 + 10/24 b) 4/6 + 7/13 + 17/9 + 19/13 + 1/9 + 14/6
c) 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56
a) \(\dfrac{3}{8}+\dfrac{7}{12}+\dfrac{10}{16}+\dfrac{10}{24}\)
\(=\dfrac{3}{8}+\dfrac{7}{12}+\dfrac{5}{8}+\dfrac{5}{12}\)
\(=\left(\dfrac{3}{8}+\dfrac{5}{8}\right)+\left(\dfrac{7}{12}+\dfrac{5}{12}\right)\)
\(=1+1\)
\(=2\)
b) \(\dfrac{4}{6}+\dfrac{7}{13}+\dfrac{17}{9}+\dfrac{19}{13}+\dfrac{1}{9}+\dfrac{14}{6}\)
\(=\dfrac{2}{3}+\dfrac{7}{13}+\dfrac{17}{9}+\dfrac{19}{13}+\dfrac{1}{9}+\dfrac{7}{3}\)
\(=\left(\dfrac{2}{3}+\dfrac{7}{3}\right)+\left(\dfrac{7}{13}+\dfrac{19}{13}\right)+\left(\dfrac{17}{9}+\dfrac{1}{9}\right)\)
\(=3+2+2\)
\(=7\)
c) \(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+\dfrac{1}{56}\)
\(=\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+\dfrac{1}{4\cdot5}+\dfrac{1}{5\cdot6}+\dfrac{1}{6\cdot7}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}\)
\(=1-\dfrac{1}{7}\)
\(=\dfrac{6}{7}\)
Số?
a) 104 x 7 = 7 x
b) 9 x 30 =( + 10) x 9
c) (6 x 15) x 21 = 6 x ( x 21)
d) 23 x 3 x 4 = 4 x = 12 x
a)
104 x 7 = 7 x 104
b)
9 x 30 = (20+10) x 9
c)
(6 x 15) x 21 = 6 x (15 x 21)
d)
23 x 3 x 4 = 4 x 69= 12 x 23
Thực hiện phép tính:
a, (8.5^7 - 5^5 +5^6) : 5^5
b, (9^30 - 27^19) : 3^57 + (125^9 - 25^12) : 5^24
c, (10^12 + 5^11 . 2^9 - 5^13 - 2^8) : 4 . 5^5 . 10^6
a: Ta có: \(\left(8\cdot5^7+5^6-5^5\right):5^5\)
\(=8\cdot5^2+5-1\)
\(=200+4=204\)
b: Ta có: \(\left(9^{30}-27^{19}\right):3^{57}+\left(125^9-25^{12}\right):5^{24}\)
\(=3^{60}:3^{57}-3^{57}:3^{57}+5^{27}:5^{24}-5^{24}:5^{24}\)
\(=27-1+125-1\)
=150
a. (8,57 - 55 + 56) : 55
= (8,57 : 55) - (55 : 55) + (56 : 55)
= 1,72 - 1 + 5
= 2,89 - 1 + 5
= 6,89
b. (930 - 2719) : 357 + (1259 - 2512) : 524
= (930 : 357) - (2719 : 357) + (1259 : 524) - (2512 : 524)
= 33 - 1 + 125 - 1
= 27 - 1 + 125 - 1
= 150
c. (1012 + 511 . 29 - 513 - 28) : 4 . 55 . 106
= (1012 + 2,5 , 1010 - 513 - 28) : 1,25 . 1010
= (1012 : 1,25 . 1010) + (2,5 . 1010 : 1,25 . 1010) - (513 : 1,25 . 1010) - (28 : 1,25 . 1010)
= 80 + 2 - \(\dfrac{25}{256}\) - \(\dfrac{1}{48828125}\)
= 81,90234373 \(\approx\) 82
Viết các biểu thức sau dưới dạng bình phương của 1 tổng hay 1 hiệu
1/ 7-2√6
2/10 + 2√21
3/11 +2√33
4/10 + 4√16
5/11 - 2√30
6/11 + 2√10
7/11 - 4√6
8/ 11 + 4√7
9/12 - 4√5
10/ 12 + 6√3
1/ \(7-2\sqrt{6}=\left(\sqrt{6}\right)^2-2\sqrt{6}+1\)
\(=\left(\sqrt{6}-1\right)^2\)
2/ \(10+2\sqrt{21}=\left(\sqrt{7}\right)^2+2.\sqrt{7}.\sqrt{3}+\left(\sqrt{3}\right)^2\)
\(=\left(\sqrt{7}+\sqrt{3}\right)^2\)
4/ \(10+4\sqrt{6}=2^2+2.2.\sqrt{6}+\left(\sqrt{6}\right)^2\)
\(=\left(2+\sqrt{6}\right)^2\)
5/ \(11-2\sqrt{30}=\left(\sqrt{6}\right)^2-2.\sqrt{6}.\sqrt{5}+\left(\sqrt{5}\right)^2\)
= \(\left(\sqrt{6}-\sqrt{5}\right)^2\)
8/ \(11+4\sqrt{7}=2^2+2.2.\sqrt{7}+\left(\sqrt{7}\right)^2\)
= \(\left(2+\sqrt{7}\right)^2\)
10/ \(12+6\sqrt{3}=3^2+2.3.\sqrt{3}+\left(\sqrt{3}\right)^2\)
= \(\left(3+\sqrt{3}\right)^2\)
Tính nhanh
( 24 x 5 - 12 x 10) x ( 1+2+3+4+5+6+7+8+9)
30 x 25 x 7 x 8/ 75 x 8 x 12 x 14
\((\)125-120\()\)x45
5x45=225
\(\dfrac{30x25x7x8}{75x8x12x14}\)=\(\dfrac{10\cdot1\cdot7\cdot1}{1\cdot1\cdot1\cdot12\cdot2}\)=\(\dfrac{70}{24}\)
a) 3/13 + 7/12 - 10/13 + 5/12 | d) -5/10 + 12/28 - 3/27 - 7/18 + 20/35 |
b) 15/24 - 6/26 + 28/48 - 30/39 + 10/24 | e) 1/56 + 1/72 + 1/90 + 1/110 + 1/132+ 1/156 = |
c) -1/2 + 3/7 - 1/9 - 7/18 + 4/7 = |