Tương tự: Tính hợp lí:
a , 49 − 7. 4 + 7 b , − 48 + 48. − 78 + 48. − 21 c , 45. 56 − 10 − 56. 2 − 45
Thực hiện phép tính( hợp lí nếu có thể)
a) 49.(51 - 4) - 51.(49 + 4)
b) 71.64 + 32.(-7) - 13.32
c) 11 + (-13) + 15 + (-17) + ... + 59 + (-61)
a)
\( 49.(51 - 4) - 51.(49 + 4)\)
\(=49.51-49.4-51.49-51.4\)
\(=49.(51-4-51)-51.4\)
\(=49.(-4)-51.4\)
\(=4.(-49-51)\)
\(=4.(-100)\)
\(=-400\)
b)
\( 71.64 + 32.(-7) - 13.32\)
\(=71.32.2+32.(-7)-13.32\)
\(=142.32+32.(-7)-13.32\)
\(=32.(142-7-13)\)
\(=32.122\)
\(=3904\)
c)
\( 11 + (-13) + 15 + (-17) + ... + 59 + (-61)\)
\(=(-2)+(-2)+...+(-2)\)
\(=(-2).13\)
\(=-26\)
Thực hiện phép tính( hợp lí nếu có thể)
a) 49.(51 - 4) - 51.(49 + 4)
b) 71.64 + 32.(-7) - 13.32
c) 11 + (-13) + 15 + (-17) + ... + 59 + (-61)
a. 49.51- 49.4 -51.49 -51.4
= -49.4 - 51.4
=4.(-49-51)
=4.-100
=-400
b.71.64 + 32.(-7) -13.32
= 71.64 + 32.(-7-13)
=71.64 + 32.-20
=71.32.2 +32.-20
=32.(71x2-20)
=32. 122
= 3904
c. (11-13)+(15-17)+..+(59-61)
=-2 x 13
=-26
Tính hợp lí
a) 1-2+3-4+...+49-50
b)1-4+7-10+...-100+103
a,1-2+3-4+...+49-50.
=(-1)+(-1)+...+(-1)
=-25
b,1-4+7-10+...-100+103
=(-3)+(-3)+...+(-3)+103
=(-150)+103
=-47
a) 1 - 2 + 3 - 4 + ... + 49 - 50
= -1 + (-1) + ... + (-1)
= -1 . [(50 - 1) + 1] : 2
= -1 . 25
= -25
b) 1 - 4 + 7 - 10 + ... - 100 + 103
= -3 + (-3) + ... + (-3) + 103
= -3 . [(100 - 1) : 3 + 1] : 2 + 103
= -3 . 34 : 2 + 103
= -3 . 17 + 103
= -51 + 103
= 52
Bài 1: Tính một cách hợp lí(tính nhanh)
a) (-25).5.(-4).2
b) (-456) - (67 - 456)
c) 78.45+145.(-78)
d) 38.( 62-75) + 62.(-75 - 38)
Bài 2: Tính hợp lí
a) 125.(-4).(-8).7
b) 35.67.137.(-35)
c) 72.( 28 - 49) + 28. _-49 - 72)
a) \(\left(-25\right).5.\left(-4\right).2\)
\(=\left[\left(-25\right).\left(-4\right)\right].\left(2.5\right)\)
\(=100.10=1000\)
b) \(\left(-456\right)-\left(67-456\right)\)
\(=-456-67+456\)
\(=\left(456-456\right)-67\)
\(=67\)
a) ((-25).(-4)).5.2
=100.10
=1000
b) (-456)-67+456
=(-456)+(-67)+456
=0+-(-67)
=-67
c)78.45+-145.78
=78.(45+145)
=78.190
=Tự làm
a) (-25).5.(-4).2
= 5 . ( -4 ) . ( -25 ) . 2
= -20 . ( - 50 )
= 100
b) (-456) - (67 - 456)
= -456 - 67 + 456
= -456 + 456 - 67
= -67
c) 78.45+145.(-78)
= 78 . 45 + ( - 145 ) . 78
= 78 . ( -145 + 45 )
= 78 . 100
= 7800
d) 38.( 62-75) + 62.(-75 - 38)
= 38 . 62 - 38 . 75 + 62 . ( - 75 ) - 62 . 38
= 38 . 62 - 62 . 38 + 38 . 75 + 62 . ( - 75 )
= 0 + 38 . 75 + ( - 62 ) . 75
= 75 . ( - 62 + 38 )
= 75 . ( - 24 )
= - 1800
a) 125.(-4).(-8).7
= 125 . ( - 8 ) . ( - 4 ) . 7
= 1000 . ( - 28 )
= - 28000
c) 72.( 28 - 49) + 28. ( -49 - 72)
= 72 . 28 - 72 . 49 + 28 . ( - 49 ) - 28 . 72
= 72 . 28 - 28 . 72 + 72 . 49 + 28 . ( - 49 )
= 0 + 72 . 49 + ( - 28 ) . 49
= 49 . ( -28 + 72 )
= 49 . 44
= 2156
tính giá trị biểu thức(hợp lí nếu có):
a,7/13.7/15-5/12.21/39+49/91.8/15
b,(1+2/1/3-3/1/4):(1+3/7/12-4/1/2)
Tính giá trị biểu thức sau theo cách hợp lí:
\(A=\frac{1-\frac{1}{\sqrt{49}}+\frac{1}{49}-\frac{1}{\left(7\sqrt{7}\right)^2}}{\frac{\sqrt{64}}{2}-\frac{4}{7}+\left(\frac{2}{7}\right)^2-\frac{4}{343}}\)
\(=\dfrac{1-\dfrac{1}{7}+\dfrac{1}{49}-\dfrac{1}{343}}{\dfrac{8}{2}-\dfrac{4}{7}+\dfrac{4}{49}-\dfrac{4}{343}}=\dfrac{1-\dfrac{1}{7}+\dfrac{1}{49}-\dfrac{1}{343}}{4-\dfrac{4}{7}+\dfrac{4}{49}-\dfrac{4}{343}}=\dfrac{1}{4}\)
Tính hợp lí : a)(-2)+7+(-12)+17+........+(-52)+57. B)(-30)+(-29)+(-28)+......+49+50
a) (-2) + 7 + (-12) + 17 + ... + (-52) + 57
= (-2 + 7) + (-12 + 17) + ... + (-52 + 57)
= 5 + 5 + ... + 5 (6 chữ số 5)
= 30
b) (-30) + (-29) + (-28) + ... + 49 + 50
= 31 + 32 + ... + 49 + 50
= (50 + 31) . (50 - 31 + 1) : 2
= 81 . 10
= 810
Tính hợp lí
a, 15.(27+ 18 +6 ) + 15.( 23 +12)
b, 24.(15 + 49 ) + 12. ( 50 + 42 )
c, 53.(51+4)+53.(49+96) +53
d, 42.( 15 +96) +6.(25 +4).7
Tính hợp lí
a,15.(27+ 18 +6 ) + 15.( 23 +12)
= 15(27+18+6+23+12)
= 15.86
= 1290
b,24.(15 + 49 ) + 12. ( 50 + 42 )
=12.2(15+49)+12.(50+42)
= 12(30+98)+12(50+42)
=12(30+98+50+42)
=12.220
= 2640
c,53.(51+4)+53.(49+96) +53
=53(51+4)+53(49+96)+53.1
=53(51+4+49+96+1)
=53.201
=10653
d,42.( 15 +96) +6.(25 +4).7
=42(15+96)+42(25+4)
=42(15+96+25+4)
=42.140
=5880
tick đúng cho mk nha pikachu
Tính hợp lí:
\(a)\)\(15.\left(27+18+6\right)+15.\left(23+12\right)\)
\(=\)\(15.51+15.35\)
\(=\)\(15.\left(51+35\right)\)
\(=\)\(15.86\)
\(=\)\(1290\)
\(b)\)\(24.\left(15+49\right)+12.\left(50+42\right)\)
\(=\)\(24.64+12.92\)
\(=\)\(1536+1104\)
\(=\)\(2640\)
\(c)\)\(53.\left(51+4\right)+53.\left(49+96\right)+53\)
\(=\)\(53.55+53.145+53\)
\(=\)\(53.\left(145+55+1\right)\)
\(=\)\(53.201\)
\(=\)\(10653\)
\(d)\)\(42.\left(15+96\right)+6.\left(25+4\right).7\)
\(=\)\(42.\left(15+96\right)+42.\left(25+4\right)\)
\(=\)\(42.111+42.29\)
\(=\)\(42.140\)
\(=\)\(5880\)
tính hợp lí;
a,(-2)+7+(-12)+17+...+(-52)+57
b,(-30)+(-29)+...+48+49+50
a,(-2)+7+(-12)+17+...+(-52)+57
=[(-2)+7]+[(-12)+17]+...+[(-52)+57]
=5+5+5+...+5 có 6 số 5
=5.6
=30
b,(-30)+(-29)+...+48+49+50
=[(-30)+(-29)]+...+31+32+...+50
=0+0+...+31+32+...+50
=0+31+32+...+50
=810
a, (-2+7)+(-12+17)+...+(-52+57)
=5+5+...+5
=5.6=30
b,(-30)+(-29)+...48+49+50
=(-30+30)+(-29+29)+...+(-1+1)+0+31+32+...+50
=0+0+0+...+0+31+32+...+50
=20.(31+50)=20.81=1620