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a) 375,64 - 95,69 + 35,78
= 280,15 + 36,78
= 316,93
b) 7,7 + 7,3 x 7,4
= 7,7 + 54,02
= 61,72
a) 375,84 – 95,69 + 36,78 = 280,15 + 36,78
= 316,93
b) 7,7 + 7,3 × 7,4 = 7,7 + 54,02
= 61,72
1,25 x 0,7 x 0,3 x 80
= (1,25 x 80) x (0,7 x 0,3)
= 100 x0,21
= 21
a) x : 2,8 x 0,7 =0,3
x : 1,96 =0,3
x = 0,3 x 1,96
x = 588
b) x - 5,7 + 3,2 = 2,9
x - 8,9 = 2,9
x = 2,9 + 8,9
x = 11,8
`@` `\text {Ans}`
`\downarrow`
`1,`
`a)`
`5 \times 72 \times 10 \times 2`
`= 5 \times 2 \times 10 \times 72`
`= 10 \times 10 \times 72`
`= 100 \times 72`
`= 7200`
`b)`
`40 \times 125`
`= 4 \times 10 \times 25 \times 5`
`= (5 \times 10) \times (4 \times 25)`
`= 50 \times 100`
`= 5000`
`c)`
`4 \times 2021 \times 25`
`= (4 \times 25) \times 2021`
`= 100 \times 2021`
`= 202100`
`d)`
`16 \times 6 \times 25`
`= 4 \times 4 \times 6 \times 25`
`= (4 \times 25) \times 4 \times 6`
`= 100 \times 24`
`= 2400`
`2,`
`a)`
`24 \times 57 + 43 \times 24`
`= 24 \times (57+43)`
`= 24 \times 100`
`= 2400`
`b)`
`12 \times 19 + 80 \times 12 +12`
`= 12 \times (19 + 80 + 1)`
`= 12 \times 100`
`= 1200`
`c)`
`(36 \times 15 \times 169) \div (5 \times 18 \times 13)`
`= 36 \times 15 \times 169 \div 5 \div 18 \div 13`
`= 6 \times 6 \times 3 \times 5 \times 13 \times 13 \div 5 \div 3 \times 6 \div 13`
`= (6 \div 6) \times (3 \div 3) \times (5 \div 5) \times (13 \div 13) \times 6 \times 13`
`= 6 \times 13`
`= 78`
`d)`
`(44 \times 52 \times 60) \div ( 11 \times 13 \times 15)`
`= 44 \times 52 \times 60 \div 11 \div 13 \div 15`
`= 4 \times 11 \times 13 \times 4 \times 15 \times 4 \div 11 \div 13 \div 15`
`= (11 \div 11) \times (13 \div 13) \times (15 \div 15) \times 4 \times 4 \times`
`= 4 \times 4 \times 4`
`= 64`
`3,`
`a)`
`x - 280 \div 35 = 5 \times 54`
`x - 8 = 270`
`x = 270 + 8`
`x = 278`
`b)`
`(x - 280) \div 35 = 54 \div 4`
`(x - 280) \div 35 = 13,5`
`x - 280 = 13,5 \times 35`
`x - 280 = 472,5`
`x = 472,5 + 280`
`x = 752,5`
`c)`
`(x - 128 + 20) \div 192 = 0`
`x - 128 + 20 = 0 \times 192`
`x - 128 + 20 = 0`
`x - 108 = 0`
`x = 0 + 108`
`x = 108`
`d)`
`4 \times (x + 200) = 460 + 85 \times 4`
`4 \times (x+200) = 460 + 340`
`4 \times (x+200) = 800`
`x + 200 = 800 \div 4`
`x + 200 = 200`
`x = 200 - 200`
`x = 0`
`4,`
`a)`
`7/12 - 5/12`
`= (7 - 5)/12`
`= 2/12`
`= 1/6`
`b)`
`8/11 + 19/11`
`= (8+19)/11`
`= 27/11`
`c)`
`3/8 + 5/12`
`= 9/24 + 10/24`
`= 19/24`
`d)`
`3/4 + 7/12`
`= 9/12 + 7/12`
`= 16/12`
`= 4/3`
`5,`
`a)`
`x - 6/7 = 5/2`
`x = 5/2 + 6/7`
`x = 47/14`
`b)`
`12/7 \div x + 2/3 = 7/5`
`12/7 \div x = 7/5 - 2/3`
`12/7 \div x = 11/15`
`x = 12/7 \div 11/15`
`x = 180/77`
`@` `\text {Kaizuu lv uuu}`
a) \(\left(145\times99+145\right)-\left(143\times102-143\right)\)
\(=\left[145\times\left(99+1\right)\right]-\left[143\times\left(102-1\right)\right]\)
\(=\left(145\times100\right)-\left(143\times101\right)\)
\(=14500-14443\)
\(=57\)
b) \(54\times47-47\times53-20-27\)
\(=47\times\left(54-53\right)-20-27\)
\(=47-20-27\)
\(=0\)
c) \(10000-47\times72-47\times28\)
\(=10000-47\times\left(72+28\right)\)
\(=10000-47\times100\)
\(=10000-4700\)
\(=5300\)
d) \(3457-27\times48-48\times73+6543\)
\(=\left(3457+6543\right)-48\times\left(27+73\right)\)
\(=10000-48\times100\)
\(=10000-4800\)
\(=5200\)
a/ (x+0.2)+(x+0,7)+(x+1,2)+.........+(x+4,7)=147,3
\(\left(x+x+x+...+x\right)+\left(0,2+0,7+1,2+...+4,7\right)=147,3\)
\(10x+24,5=147,3\)
\(10x=122,8\)
\(x=12,28\)
b/(x+0.1)+(x+0,3)+(x+0,5)+.........+(x+1.9)=120
\(\left(x+x+x+...+x\right)+\left(0,1+0,3+0,5+...+1,9\right)=120\)
\(10x+10=120\)
\(10x=110\)
\(x=11\)
a ) ( x + 0,2 ) + ( x + 0,7 ) + ( x + 1,2 ) + ... + ( x + 4,7 ) = 147,3
( x + x + x + ... + x ) + ( 0,2 + 0,7 + 1,2 + ... + 4,7 ) = 147,3
10x + 24,5 = 147,3
10x = 147,3 - 24,5
10x = 122,8
= > x = 122,8 : 10 = 12,28
b ) ( x + 0,1 ) + ( x + 0,3 ) + ( x + 0,5 ) + ... + ( x + 1,9 ) = 120
( x + x + x + ... x ) + ( 0,1 + 0,3 + 0,5 + ... + 1,9 ) = 120
10x + 10 = 120
10x = 120 - 10
10x = 110
= > x = 110 : 10 = 11
a) 64,42 x 2,34 - 2,24 x 64,42
= 64,42 x ( 2,34 - 2,24 )
= 64,42 x 0,1
= 6,442
b) 45,96 x 8,24 + 45,96 x 1,76
= 45,96 x ( 8,24 + 1,76 )
= 45,96 x 10
= 459,6
c) 12,68 x 0,3 + 12,68 x 0,7
= 12,68 x ( 0,3 + 0,7)
= 12,68 x 1
= 12,68
d) 35,78 x 5,9 + 35,78 x 4,1
= 35,78 x ( 5,9 + 4,1 )
= 35,78 x 10
= 357,8
a)64,42*(2,34-2,24)
=64,42*0,1
=6442