2 - EXPRESSÕES NUMÉRICAS
Autor: JMPIRES | Publicado: 2009-02-03T19:57:00-02:00


EXPRESSÕES NUMÉRICAS COM ADIÇÃO E SUBTRAÇÃO
1) As operações de adição e de subtração são efetuadas na ordem em que aparecem

Exemplos

a) 7-3+1-2=
&nbsp;&nbsp;&nbsp; =4+1-2=
&nbsp;&nbsp;&nbsp; =5-2=
&nbsp;&nbsp;&nbsp; =3

B) 15-1-2+5=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =14-2+5=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =12+5=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =17

2) Existem expressões onde aparecem os sinais de associação e que devem ser eliminados nesta ordem

1º) parênteses ( )
2º) colchetes [ ]
3º) Chaves { }

exemplos

a) 74+{10-[5-(6-4)+1]}=
&nbsp;&nbsp;&nbsp; =74+{10-[5-2+1]}=
&nbsp;&nbsp; &nbsp;=74+{10-[3+1]}=
&nbsp;&nbsp; &nbsp;=74+{10-4}=
&nbsp;&nbsp;&nbsp; =74+6=
&nbsp;&nbsp;&nbsp; =80


EXERCÍCIOS

1) Calcule o valor das expressões

a) 10-1+8-4= (R:13)
b) 12-8+9-3= (R:10)
c) 25-1-4-7= (R:13)
d) 45-18+3+1-2= (R:29)
e) 75-10-8+5-1= (R:61)
f) 10+5-6-3-3+1= (R:4)


2) Efetue as operações

a) 237+98 = (R:335)
b) 648+2334 = (R: 2982)
c) 4040+404 = (R: 4444)
d) 4620+1398+27 = (R: 6045)
e) 3712+8109+105+79 = (R:12005)
f) 256-84 = (R: 172 )
g) 2711-348 = (R: 2363)
h) 1768-999 = (R: 769)
i) 5043-2584 = (R: 2459)
j) 8742-6193 = (R: 2549)

3) Calcule o valor das expressões

a) 30-(5+3) = (R: 22)
b) 15+(8+2) = (R: 25)
c) 15-(10-1-3) = (R: 9)
d) 23-(2+8)-7 = (R: 6 )
e) (10+5)-(1+6) = (R: 8)
f) 7-(8-3)+1= (R: 3 )


4) Calcule o valor das expressões

a) 25-[10+(7-4)] = (R:12)
b) 32+[10-(9-4)+8] = (R:45)
c) 45-[12-4+(2+1)] = (R:34)
d) 70-{20-[10-(5-1)]} = (R:56)
e) 28+{13-[6-(4+1)+2]-1} = (R:37)
f) 53-{20-[30-(15-1+6)+2]} = (R:45)
g) 62-{16-[7-(6-4)+1]} = (R:52)
h) 20-{8+[3+(8-5)-1]+6} = (R:1)
i) 15+{25-[2-(8-6)]+2} = (R:42)
j) 56-[3+(8-2)+(51-10)-(7-2)] = (R:11)
l){42+[(45-19)-(18-3)+1]-(28-15)-1} = (R:) 

5) Calcule o valor da expressões

a) 7-(1+3)= (R:3)
b) 9-(5-1+2)= (R:3)
c) 10-(2+5)+4= (R:7)
d) (13-7)+8-1= (R:13)
e) 15-(3+2)-6= (R:4)
f) (10-4)-(9-8)+3= (R:8)
g) 50-[37-(15-8)]= (R:20)
h) 28+[50-(24-2)-10]= (R:46)
i) 20+[13+(10-6)+4]= (R:41)
j) 52-{12+[15-(8-4)]}= (R:29)

6)Calcule o valor das expressões:

a) 25 + { 12 + [ 2 – ( 8 – 6 ) + 2 ]} = (R:39)
b) { [ ( 18 – 3 ) + ( 7 + 5) – 2 ] + 5 } – 12 = (R:18)
c) 65 – { 30 – [ 20 – ( 10 – 1 + 6) + 1 ]} = (R: 41)
d)45 + { 15 – [ ( 10 – 8 ) + ( 7 – 4) – 3 ] – 4 } = (R:54)
e) 40 + { 50 – [35 – ( 25 +5) – 1 ]} + 7 = (R:93)
f)38 – { 20 – [ 22 – ( 5 + 3) + ( 7 – 4 +1)]} = ( R:36)
g) 26 + { 12 – [ ( 30 – 18) + ( 4 – 1) – 6 ] – 1 } = (R:28)

7) Calcule o valor das expressões

a) 10 - 5 - 2 + 3 = (R: 6)
b) 10 - ( 5 + 2) + 3 = (R:6)
c) ( 10 - 5) - ( 2 + 3) = ( R: 0)
d) 10 - ( 5 - 2 + 3) = ( R: 4)
e) ( 17 + 9 ) - 8 - ( 11 + 4) = (R: 3)
f) 86 + ( 31 - 16 + 60 ) - ( 200 - 70 - 50 ) = ( R: 81)
g) ( 79 + 21 - 84) + ( 63 - 41 + 17 ) - 26 = ( R: 29)

8) Calcule o valor das expressões:

a) 10 – 1 + 8 – 4 = (R 13)
b) 12 – 8 + 9 – 3 = (R: 10)
c) 25 – 1 – 4 – 7 = ( R: 13)
d) 30 – ( 5 + 3 ) = ( R: 22)
e) 15 + ( 8 + 2 ) = (R: 25)
f) 25 – ( 10 – 1 – 3 ) = (R: 19)
g) 45 – 18 + 3 + 1 – 2 = ( R: 29)
h) 75 – 10 – 8 + 5 – 1 = (R: 61)
i) 10 + 5 – 6 – 3 – 3 + 1 = (R: 4)
j) 23 – ( 2 + 8 ) – 7 = (R: 6)
k) ( 10 + 5 ) – ( 1 + 6 ) = ( R: 8)
l) 7 – ( 8 – 3 ) + 1 = (R: 3)
m) 25 – [ 10 + ( 7 – 4 ) ] = (R: 12) 
n)32+ [ 10 – ( 9 – 4 ) + 8 ] =- (R: 45)
o) 45 – [ 12 – 4 + ( 2 + 1 )] = (R: 34)
p) 70 – { 20 – [ 10 – ( 5 – 1 ) ]} = (R: 56)
q) 28 + { 13 – [ 6 – ( 4 + 1 ) + 2 ] – 1 } = ( R: 37)
r) 53 – { 20 – [ 30 – ( 15 – 1 + 6 ) + 2 ]} = (R: 45)
s) 62 – { 16 – [ 7 – ( 6 – 4 ) + 1 ]} = (R: 52)
t) 20 – { 8 + [ 3 + ( 8 – 5 ) – 1 ] + 6} = (R: 1)
u) 15 + { 25 – [ 2 – ( 8 – 6 )] + 2 } = ( R: 42)
v) 56 – [ 3 + ( 8 – 2 ) + ( 51 – 10 )&nbsp;+ ( 7&nbsp;- 2 )] = (R: 1)
w) { 42 + [ (45 – 19) – ( 18 – 3 ) + 1] – (28 – 15 )}&nbsp; = (R: 41)
x) 7 – ( 1 + 3 ) = (R: 3)
y) 9 – ( 5 – 1 + 2 ) = (R: 3)
z) 10 – ( 2 + 5 ) + 4 = (R: 7)



EXPRESSÕES NUMÉRICAS COM AS QUATRO OPERAÇÕES



Nessas expressões, as operações se realizam obedecendo à seguinte ordem:

1º) multiplicações e divisões

2º) adições e subtrações

Se houver sinais de associação (parênteses, colchetes e chaves) devemos proceder da seguinte maneira:

1º) As contas dentro dos parênteses seguindo a ordem acima colocada

2º) As contas dentro dos colchetes seguindo a ordem acima colocada

3º) As contas dentro das chaves seguindo a ordem acima colocada


EXEMPLOS

1º) 15+[(3x6-2)-(10-6:2)+1]=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; = 15+[(18-2)-(10-3)+1]=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =15+[16-7+1]=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =15+[9+1]=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =15+10=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =25

2º) 50-{40-3x[5-(10-7)]}=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; = 50-{40-3x[5-3]}=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= 50-{40-3x2}=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; = 50-{40-6}=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; = 50-34=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; =16

EXERCÍCIOS

1) Calcule as expressões

a) 3x75+3x25 = (R:300)
b) 5x97+5x3 = (R:500 )
c) 4x101+4x99 = (R:800)
d) 20x47+80x47 = (R:4700)
e) 12+16:8x3-5 = (R:13)
f) 100-6x7+8:2 = (R:62)
g) 64:8+5x5-3 = (R: 30)
h) 1+3+5x7-9:3 = (R:36)

2) Calcule o valor das expressões:

a) 7+15:3 = (R:12)
b) 4x5+1 = (R:21)
c) 10:2+8 = (R:13) 
d) 32+12:2 = (R:38)
e) 20:10+10 = (R:12)
f)7x3-2x5 = (R:11)
g)40-2x4+5 = (R:37)
h)4x3+10:2 = (R:17)
i)50-16:8+7 = (R:55)
j)32:4:2:2 = (R:2) 

3) Calcule o valor das expressões

a) (13+2)x3+5 = (R:50)
b)(7+2)x(3-1) = (R:18)
c)(4+2x5)-3 = (R:11)
d) 20-(15+6:3) = (R:3)
e)15+[6+(8-4:2)] = (R:27)
f)40-[3+(10-2):2] = (R:33)
g)[30+2x(5-3)]x2-10 = (R:58)
h) 10+[4+(7x3+1)]-3 = (R:33)

4) Calcule o valor das expressões

a) (3+2)x(5-1)+4 = (R:24)
b) 82-8x7:(4-1x3) = (R:26)
c) 25-[10-(2x3+1)] = (R:22)
d) 70-[12+(5x2-1)+6] = (R:43)
e)8:2+[15-(4x2+1)] = (R:10)
f)9+[4+2x(6-4)+(2+5)]-8 = (R:16)
g) 50+{10-2x[(6+4:2)-(10-3)]} = (R:58)
h)180:{10+2x[20-45:(13-2x5)]} = (R:9)


5) Calcule o valor das expressões:

a) 70:7-1= (R:9)
b) 20+3x2= (R:26)
c) 30+10:10 = (R:31) 
d) 150-7x12= (R:66)
e) 48:16+20:4 = (R:8)
f) 10-8:2+3 = (R:9)
g) 30:5-1+2x3 = (R:11)


6) Calcule as expressões:

a) (3+4)x(9-8) = (R:7)
b) (20+8):(3+4) = (R:4) 
c) 15+8x(2+3) = (R:55)
d) (5+3x2)-1= (R:10)
e) 25+(8:2+1)-1= (R:29)
f) 15+[5x(8-6:2)] = (R:40) 
g) 50-[13-(10-2):2] = (R:41)
h) [40+2x(7-5)]x2-20 = (R:68)

7) Calcule o valor das expressões:

a) 16+[10-(18:3+2)+5]&nbsp;= (R: 23)
b) 25-[12-(3x2+1)] = (R: 20)
c) 90-[25+(5x2-1)+3] = ( R: 53)
d) 45+[(8x5-10:2)+(18:6-2)] = (R: 81)
e) 50-2x{7+8:2-[9-3x(5-4)]} = (R: 40)
f) 100-3x{5+8:2-[3x(7-6)]} = (R: 82)

8) Determine o valor de cada expressão

a) 1000 - [(2 . 4 - 6) + ( 2 + 6 . 4)] = (R: 972)
b) 60 + 2 . {[ 4 . ( 6 + 2 ) - 10 ] + 12} = ( R: 128 )
c) [( 4 + 16 . 2) . 5 - 10] . 100 = (R: 17.000)
d) { 10 + [ 5 . ( 4 + 2 . 5) - 8] . 2 } - 100 = ( R: 34)
e) 80 - 5 . ( 28 - 6 . 4 ) + 6 - 3 . 4 = (R: 54)

9) Calcule

a) 4 . ( 10 + 20 + 15 + 30) = (R: 300)
b) (10 . 6 + 12 . 4 + 5 . 8 ) - 40 = (R: 108) 
c) [ 6 . ( 3 . 4 - 2 . 5) - 4 ] + 3 . ( 4 - 2) - ( 10 : 2 ) = (R: 9)
d) 67 + { 50 . [ 70 : ( 27 + 8 ) + 18 : 2 ] + 21 } = (R:638)
e) [ 30 . ( 9 - 6)] + { 30 : ( 9 + 6 ) ] = (R: 92)
f) 58 - [ 20 - ( 3 . 4 - 2) : 5 ] = (R: 40)
g) 40 + 2 . [ 20 - ( 6 + 4 . 7 ) : 2 ] = ( R: 46)


10) Calcule o valor das expressões

a) (12 + 2 . 5) - 8 = (R: 14)
b) 25 - ( 15 + 6 : 3) = (R: 8)
c) 25 +[7 + ( 8 - 4 :2)] = (R: 38)
d) 60 - [8 + ( 10 - 2 ) : 2] = (R: 46)
e) 80 - [ 22 + ( 5 . 2 - 1 ) + 6] = (R: 43)
f) 14 : 2 + [ 13 - ( 4 . 2 + 1 ) ] = (R: 11)
g) [ 30 + 2 x ( 5 – 3 ) ] x 2 – 10 = (R:78)
h) 20 : 10 + 10 = (R: 20)
i) 10 + [ 4 + ( 7 x 3 + 1 ) ] – 3 = (R:33)


11) Resolva as expressões numéricas:

a) 8 – ( 1 + 3) = (R: 4)
b) 7x 3 – 2 x 5 = (R: 11)
c) ( 13 – 7 ) + 8 – 1 = (R : 13)
d)4 x 3 + 10 : 2 = (R: 17)
e) 15 – ( 3 + 2 ) – 6 = (R: 4)
f) 40 – 2 x 4 + 5 = (R: 37)
g) ( 10 – 4 ) – ( 9 – 8 ) + 3 = (R: 8)
h) 50 – 16 : 8 + 7 = ( R: 55)
i) 50 – [37 – ( 15 – 8 ) ] = (R: 20)
j) 32 : 4 : 2 : 2 = (R: 2)
l) 28 + [ 50 – ( 24 – 2 ) – 10 ] = (R: 46)
m) ( 13 + 2) x 3 + 5 = (R: 50)
n) 20 + [ 13 + ( 10 – 6 ) + 4 ] = (R : 41)
o) ( 7 + 2 ) x ( 3 – 1 ) = (R: 18)
p) 52 – { 12 + [ 15 – ( 8 – 4 )]}= (R: 29)
q) ( 4 + 2 x 5 ) – 3 = (R:11)
r) 7 + 15 : 3 = (R:12)
s) 20 – ( 15 + 6 : 3) = (R:3)
t) 4 x 5 + 1 = (R:21)
u) 15 + [ 6 +&nbsp;( 8 – 4 : 2 )] = (R:27)
v) 10 : 2 + 8 = ( R:13)
x) 40 – [ 3&nbsp;+ (10 – 2 ) : 2 ] = ( R:33)
z) 32 + 12 : 2 = (R:38)