Tính giá trị biểu thức :
[ + 4/7 x 7/16 ] : 1/2
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Ta có: \(\left(3\dfrac{3}{4}+\dfrac{4}{7}\cdot\dfrac{7}{16}\right):\dfrac{1}{2}\)
\(=\left(\dfrac{15}{4}+\dfrac{1}{4}\right)\cdot2\)
\(=4\cdot2=8\)
10.213
11. 2 giờ 55 phút
12. 4 ngày 21 giờ
13.
a: 6,008
b: 4500
c: 5,628
d: 4,009
14.
a,8579 cm2
b,32,04 m2
c,187200m2
d,5,017 tấn
14:
a: \(85.79km^2=857900000000cm^2\)
b: \(32m^24dm^2=32.04m^2\)
c: \(1872dm^2=18.72m^2\)
d: 5 tấn 17kg=5,017 tấn
13:
a: \(6dm^38cm^3=6.008dm^3\)
b: \(4.5m^3=4500dm^3\)
c: \(5628dm^3=5.628m^3\)
d: \(4m^39dm^3=4.009m^3\)
12: =108h:3+80h
=36h+80h=116h
10:
3h18p+7h21p:3
=198p:441p:3
=198p+147p=345p
1) ta có \(\left(x+y\right)^2=x^2+2xy+y^2.\)
\(=\left(x^2+y^2\right)+2xy\)
\(=20+2.8\)(theo giả thiết x^2+y^2=20 , xy=8)
\(=36\)
Vậy với x^2+y^2=20, xy=8 thì (x+y)^2=36
2) \(M=\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(\Rightarrow3M=3\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(\Leftrightarrow3M=\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(\Leftrightarrow3M=\left[\left(2^2\right)^2-1^2\right]\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(\Leftrightarrow3M=\left(2^4-1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(\Leftrightarrow3M=\left[\left(2^4\right)^2-1^2\right]\left(2^8+1\right)\left(2^{16}+1\right)\)
\(\Leftrightarrow3M=\left(2^8-1\right)\left(2^8+1\right)\left(2^{16}+1\right)\)
\(\Leftrightarrow3M=\left[\left(2^8\right)^2-1^2\right]\left(2^{16}+1\right)\)
\(\Leftrightarrow3M=\left(2^{16}-1\right)\left(2^{16}+1\right)\)
\(\Leftrightarrow3M=\left(2^{16}\right)^2-1^2\)
\(\Leftrightarrow3M=2^{32}-1\)
\(\Rightarrow M=\frac{2^{32}-1}{3}\)
RÚT GỌN BIỂU THỨC N BẠN LÀM TƯƠNG TỰ NHA
\(N=16\left(7^2+1\right)\left(7^4+1\right)\left(7^8+1\right)\left(7^{16}+1\right)\)
\(\Rightarrow3N=48\left(7^2+1\right)\left(7^4+1\right)\left(7^8+1\right)\left(7^{16}+1\right)\)
\(\Leftrightarrow3N=\left(7^2-1\right)\left(7^2+1\right)\left(7^4+1\right)\left(7^8+1\right)\left(7^{16}+1\right)\)
\(...\)
\(...\)
Kết quả rút gọn \(N=\frac{7^{32}-1}{3}\)
\(\dfrac{1}{2}\times\dfrac{1}{3}+\dfrac{3}{4}\)
\(=\dfrac{1}{6}+\dfrac{3}{4}\)
\(=\dfrac{2}{12}+\dfrac{9}{12}\)
\(=\dfrac{11}{12}\)
____________________________
\(\dfrac{3}{7}-\dfrac{2}{7}:\dfrac{2}{3}\)
\(=\dfrac{3}{7}-\dfrac{2}{7}\times\dfrac{3}{2}\)
\(=\dfrac{3}{7}-\dfrac{3}{7}\)
\(=0\)
Chúc bạn học tốt
1/2 x 1/3 + 3/4 = 1/6 + 3/4 = 4/24 + 18/24 = 22/24 = 11/12
3/7 - 2/7 : 2/3 = 3/7 - 2/7 x 3/2 = 3/7 - 3/7 = 0
Ta có: \(\left(3\dfrac{3}{4}+\dfrac{4}{7}\cdot\dfrac{7}{16}\right):\dfrac{1}{2}\)
\(=\left(\dfrac{15}{4}+\dfrac{1}{4}\right)\cdot2\)
\(=4\cdot2=8\)
[ 3 và 3/4 + 4/7 x 7/16 ] : 1/2
mk gửi thiếu 3 và 3/4