Category: Name:
First, calculate the following questions orally. (23 points)
10-2.65= 0.9×0.08= 528-349= 6+ 14.4= 24÷0.04=
12.34-2.3= 0÷3.8= 0.77+0.33= 7÷ 1.4= 67.5+0.25=7.2÷8×4= 5- 1.4- 1.6= 400÷ 125÷8= 1.9×4×0.5=
80×0. 125= 3× = 6 6= 2 -( + )= 10 2=
3.2×7÷3.2×7= ( - )× 12= 187.7× 1 1- 187.7= 1- 62.5%=
Two, write the laws or properties used in the simple operation of the following questions (12 points)
4 +3.2+5 +6.8 25×(8×0.4)× 1.25 7 -(2 - )
( ) ( ) ( )
( + + )×72 93.5÷3 16÷2.5
( ) ( ) ( )
Third, use a simple method to calculate. (65 points)
1 125-997 998+ 1246+9989 (8700+870+87)÷87
125×8.8 1.3+4.25+3.7+3.75 17. 15-(3.5-2.85)
3.4×99+3.4 4.8× 1.0 1 0.4×(2.5÷73)
( 1.6+ 1.6+ 1.6+ 1.6)×25 ( + - )÷
12.3-2.45-5.7-4.55 2 + 0. 125×0.25×64
64.2×87+0.642× 1300 78×36+7.8×74 1-7 17+ 8
0. 125× +0.5 2.42 +4.58 -43
25÷ 100 4.25-3 -(2 - 1 )
( 1) 1.25* 17.6+36. 1/0.8+2.36* 12.5
1.25* 17.6+36. 1/0.8+2.36* 12.5
=(5/4)* 17.6+36. 1*(5/4)+23.6*(50/4)
= 176/8+36 1/8+236/8
=773/8=96.625
(2)7.5*2.3+ 1.9*2.5
7.5*2.3+ 1.9*2.5
=7.5*( 1.9+0.4)+ 1.9*2.5
=(7.5+2.5)* 1.9+7.5*0.4
= 19+3 =22
(3)2004/2003*2005
2004/2003*2005
=(2004/2003)*(2003+2)
=2004+4008/2003
(4)276*543-267/276+543*275
276*543-267/276+543*275
=543*(276+275)-267/276
=543*55 1-267/276
1) 52 and 251× 79.45+159× 47.56+79 and 251× 52.44
=52.44×79.45+ 159×47.56+79.55×52.44
=52.44×(79.45+79.55)+ 159×47.56
=52.44× 159+ 159×47.56
= 159×(52.44+47.56)
= 159× 100
= 15900
3)2002+200 1-2000- 1999+ 1998+ 1997- 1996- 1995+……+2+ 1
=(2002-2000)+(200 1- 1999)+( 1998- 1996)+( 1997- 1995)+……+(6-4)+(5-3)+2+ 1
= 2+2+2+2+...+2+2 (from 3-2002 * * 2000, with 1000 binary) +2+ 1.
= 1000×2+2+ 1
=2003
Questions 4 and 5 both use a conversion formula1/(a× b) =1/(b-a )× (1/a-1/b).
Such as115 =1(3× 5) =1(5-3 )× (1/3-1/5) =/kloc-0.
4)( 1×2) +(2×3) +(3×4)+...+( 10× 1 1)
= 1/( 1×2)+ 1/(2×3)+ 1/(3×4)+……+ 1/( 10× 1 1)
=( 1- 1/2)+( 1/2 - 1/3)+( 1/3 - 1/4)+……+( 1/ 10 - 1/ 1 1)
= 1- 1/ 1 1
= 10/ 1 1
5) One third+one fifteenth+one thirty-fifth+one sixty-third+one ninety-ninth.
= 1/( 1×3)+ 1/(3×5)+ 1/(5×7)+ 1/(7×9)+ 1/(9× 1 1)
= 1/2×( 1- 1/3)+ 1/2×( 1/3- 1/5)+ 1/2×( 1/5- 1/7)+ 1/2×( 1/7- 1/9) + 1/2×( 1/9- 1/ 1 1)
= 1/2×( 1 - 1/3 + 1/3 - 1/5 + 1/5 - 1/7 + 1/7 - 1/9 + 1/9 - 1/ 1 1)
= 1/2×( 1- 1/ 1 1)
= 1/2× 10/ 1 1
=5/ 1 1
6) one-sixth and five-sixths+seventy-two-nineties+eleven-thirties-thirteen-forty-two+fifteen-fifty-six
(According to the prompt, 1 and 1/2= 1+ 1/2,+1/3 = 5/6 ...)
=( 1+ 1/2)-( 1/2+ 1/3)+( 1/3+ 1/4)-( 1/4+ 1/5)+( 1/5+ 1/6)-( 1/6+ 1/7)+( 1/7+ 1/8)
= 1+ 1/2 - 1/2 - 1/3 + 1/3 + 1/4 - 1/4 - 1/5 + 1/5 + 1/6 - 1/6 - 1/7 + 1/7 + 1/8
= 1+ 1/8
=9/8
Look carefully, it won't be difficult, everything can be calculated simply. See for yourself. Some topics will be easier to calculate. I'm not in grade six. I don't know if you study like us, but I can only find some. Sorry, please forgive me.
15 6 simple calculation 1 0.4× 125×25×0.8
=(0.4×25)×( 125×0.8)
= 10× 100= 1000
2 1.25×(8+ 10)
= 1.25×8+ 1.25× 10
= 10+ 12.5=22.5
3 9 123-( 123+8.8)
=9 123- 123-8.8
=9000-8.8
=899 1.2
4 1.24×8.3+8.3× 1.76
=8.3×( 1.24+ 1.76)
=8.3×3=24.9
5 9999× 100 1
=9999×( 1000+ 1)
=9999× 1000+9999× 1
= 10008999
6 14.8×6.3-6.3×6.5+8.3×3.7
=( 14.8-6.5)×6.3+8.3×3.7
=8.3×6.3+8.3×3.7
7 8.3×(6.3+3.7)
=8.3× 10
=83
8 1.24+0.78+8.76
=( 1.24+8.76)+0.78
= 10+0.78
= 10.78
9 933- 157-43
=933-( 157+43)
=933-200
=733
10 482 1-998
=482 1- 1000+2
=3823
1 1 32× 125×25
=4×8× 125×25
=(4×25)×(8× 125)
= 100× 1000
= 100000
12 9048÷268
=(2600+2600+2600+ 1248)÷26
=2600÷26+2600÷26+2600÷26+ 1248÷269
= 100+ 100+ 100+48
=348
13 288 1÷ 43
=( 1290+ 159 1)÷ 434
= 1290÷43+ 159 1÷43
=30+37
14 3.2×42.3×3.75- 12.5×0.423× 16
=3.2×42.3×3.75- 1.25×42.3× 1.6
=42.3×(3.2×3.75- 1.25× 1.6)
=42.3×(4×0.8×3.75- 1.25×4×0.4)
=42.3×(4×0.4×2×3.75- 1.25×4×0.4)
= 42.3×(4x 0.4x 7.5- 1.25 x4 0.4)
=42.3×[4×0.4×(7.5- 1.25)]
=42.3×[4×0.4×6.25]
=42.3×(4×2.5)
=4237
15 1.8+ 18÷ 1.5-0.5×0.3
= 1.8+ 12-0. 15
= 13.8-0. 15
= 13.65
Hope to adopt
20 Simple calculation level 6 1. 3/7 × 49/9-4/3
2.8/9 × 15/36 + 1/27
3. 12× 5/6 – 2/9 ×3
4.8× 5/4 + 1/4
5.6÷ 3/8 – 3/8 ÷6
6.4/7 × 5/9 + 3/7 × 5/9
7.5/2 -( 3/2 + 4/5 )
8.7/8 + ( 1/8 + 1/9 )
9.9 × 5/6 + 5/6
10.3/4 × 8/9 - 1/3
1 1.7 × 5/49 + 3/ 14
12.6 ×( 1/2 + 2/3 )
13.8 × 4/5 + 8 × 1 1/5
14.3 1 × 5/6 – 5/6
15.9/7 - ( 2/7 – 10/2 1 )
16.5/9 × 18 – 14 × 2/7
17.4/5 × 25/ 16 + 2/3 × 3/4
18. 14 × 8/7 – 5/6 × 12/ 15
19. 17/32 – 3/4 × 9/24
20.3 × 2/9 + 1/3
Grade 6 15 simple calculation 1. Orally calculate the following questions. (23 points)
10-2.65= 0.9×0.08= 528-349= 6+ 14.4= 24÷0.04=
12.34-2.3= 0÷3.8= 0.77+0.33= 7÷ 1.4= 67.5+0.25=7.2÷8×4= 5- 1.4- 1.6= 400÷ 125÷8= 1.9×4×0.5=
80×0. 125= 3× = 6 6= 2 -( + )= 10 2=
3.2×7÷3.2×7= ( - )× 12= 187.7× 1 1- 187.7= 1- 62.5%=
Two, write the laws or properties used in the simple operation of the following questions (12 points)
4 +3.2+5 +6.8 25×(8×0.4)× 1.25 7 -(2 - )
( ) ( ) ( )
( + + )×72 93.5÷3 16÷2.5
( ) ( ) ( )
Third, use a simple method to calculate. (65 points)
1 125-997 998+ 1246+9989 (8700+870+87)÷87
125×8.8 1.3+4.25+3.7+3.75 17. 15-(3.5-2.85)
3.4×99+3.4 4.8× 1.0 1 0.4×(2.5÷73)
( 1.6+ 1.6+ 1.6+ 1.6)×25 ( + - )÷
12.3-2.45-5.7-4.55 2 + 0. 125×0.25×64
64.2×87+0.642× 1300 78×36+7.8×74 1-7 17+ 8
0. 125× +0.5 2.42 +4.58 -43
25÷ 100 4.25-3 -(2 - 1 )
( 1) 1.25* 17.6+36. 1/0.8+2.36* 12.5
1.25* 17.6+36. 1/0.8+2.36* 12.5
=(5/4)* 17.6+36. 1*(5/4)+23.6*(50/4)
= 176/8+36 1/8+236/8
=773/8=96.625
(2)7.5*2.3+ 1.9*2.5
7.5*2.3+ 1.9*2.5
=7.5*( 1.9+0.4)+ 1.9*2.5
=(7.5+2.5)* 1.9+7.5*0.4
= 19+3 =22
(3)2004/2003*2005
2004/2003*2005
=(2004/2003)*(2003+2)
=2004+4008/2003
(4)276*543-267/276+543*275
276*543-267/276+543*275
=543*(276+275)-267/276
=543*55 1-267/276
1) 52 and 251× 79.45+159× 47.56+79 and 251× 52.44
=52.44×79.45+ 159×47.56+79.55×52.44
=52.44×(79.45+79.55)+ 159×47.56
=52.44× 159+ 159×47.56
= 159×(52.44+47.56)
= 159× 100
= 15900
3)2002+200 1-2000- 1999+ 1998+ 1997- 1996- 1995+……+2+ 1
=(2002-2000)+(200 1- 1999)+( 1998- 1996)+( 1997- 1995)+……+(6-4)+(5-3)+2+ 1
= 2+2+2+2+...+2+2 (from 3-2002 * * 2000, with 1000 binary) +2+ 1.
= 1000×2+2+ 1
=2003
Questions 4 and 5 both use a conversion formula1/(a× b) =1/(b-a )× (1/a-1/b).
Such as115 =1(3× 5) =1(5-3 )× (1/3-1/5) =/kloc-0.
4)( 1×2) +(2×3) +(3×4)+...+( 10× 1 1)
= 1/( 1×2)+ 1/(2×3)+ 1/(3×4)+……+ 1/( 10× 1 1)
=( 1- 1/2)+( 1/2 - 1/3)+( 1/3 - 1/4)+……+( 1/ 10 - 1/ 1 1)
= 1- 1/ 1 1
= 10/ 1 1
5) One third+one fifteenth+one thirty-fifth+one sixty-third+one ninety-ninth.
= 1/( 1×3)+ 1/(3×5)+ 1/(5×7)+ 1/(7×9)+ 1/(9× 1 1)
= 1/2×( 1- 1/3)+ 1/2×( 1/3- 1/5)+ 1/2×( 1/5- 1/7)+ 1/2×( 1/7- 1/9) + 1/2×( 1/9- 1/ 1 1)
= 1/2×( 1 - 1/3 + 1/3 - 1/5 + 1/5 - 1/7 + 1/7 - 1/9 + 1/9 - 1/ 1 1)
= 1/2×( 1- 1/ 1 1)
= 1/2× 10/ 1 1
=5/ 1 1
6) one-sixth and five-sixths+seventy-two-nineties+eleven-thirties-thirteen-forty-two+fifteen-fifty-six
(According to the prompt, 1 and 1/2= 1+ 1/2,+1/3 = 5/6 ...)
=( 1+ 1/2)-( 1/2+ 1/3)+( 1/3+ 1/4)-( 1/4+ 1/5)+( 1/5+ 1/6)-( 1/6+ 1/7)+( 1/7+ 1/8)
= 1+ 1/2 - 1/2 - 1/3 + 1/3 + 1/4 - 1/4 - 1/5 + 1/5 + 1/6 - 1/6 - 1/7 + 1/7 + 1/8
= 1+ 1/8
=9/8
Look carefully, it won't be difficult, everything can be calculated simply. See for yourself. Some topics will be easier to calculate. I'm not in grade six. I don't know if you study like us, but I can only find some. Sorry, please forgive me.
Level 6: 1 simple calculation (7/20-5/26) * 4-4/9 =
=(4 1/260)*4-4/9=4 1/65-4/9
= 4 1*9/(65*9)-4*65/(9*65)= 109/585
Simple calculation of 96 channels in grade 6 75× 102
=75*( 100+2)
=75* 100+75*2
=7500+ 150
=7650
1.2×2.5
=( 1+0.2)*2.5
= 1*2.5+0.2*2.5
=2.5+0.5
=3
90. 1-9.9
=(90+0. 1)-( 10-0. 1)
=90+0. 1- 10+0. 1
=80+0.2
=80.2
90. 1×9.9
=(90+0. 1)*( 10-0. 1)
=900-9+ 1-0.0 1
=908-0.0 1
=907.99
3.54×99+3.54
=3.54*99+3.54* 1
=3.54*(99+ 1)
=3.54* 100
=354
272÷ 125
=272*8/ 125*8
=2 176/ 1000
=2. 176
20 1+202+203+204+? + 1000
=(20 1+ 1000)+(202+999)+。 . . . +(600+60 1)
=400 120 1 sum.
=400* 120 1
=480400
Several simple calculations of grade 6: 3/6 1-4 1 times 6.
=(3/4- 1/4)×6
= 1/2×6
=3
53 times 57 of 56.
=53/56×(56+ 1)
=53/56×56+53/56
=53+53/56
=53 and 53/56
4 of 2 1 times 4 of 9-5 of 2 times 5 of 6.
=6/7-2/3
=4/2 1
2.8 times 5.6+3.4 times 2 and 5 4+280%
=2.8×(5.6+3.4+ 1)
=2.8× 10
=28
3 of x÷5 = 2 of 9.
X=2/9×3/5
X=2/ 15
6/x÷35 x = 26/45 13/25。
6/x÷35 x = 10/9
x= 10/9×6/35
x=4/2 1
This is not difficult, it is nothing more than multiplication after division.
Look at the second one, ask for the same number,
( 1 1/ 19)* 10/(/ 1 1/ 19)* 10
=[( 1 1/ 19)/( 1 1/ 19)]* 10* 1 1
= 1* 10* 1 1
= 1 10
The main thing is to observe first, and multiply or divide the same by multiplication and division exchange method, which can be faster than others.
Two simple calculations (level 6) 1 turn *(3 have 1/7) and (-0. 125) are false points.
-8 *-65438 of 8+0 *-22 of 7 *- 165438+2 of 0
2 all become an additional score, put forward 5/4 and calculate the rest.
Specifically, I do it myself. I usually do this when I encounter this kind of problem.
I don't understand. Ask me.