Inicio › Matemáticas 1 › Operaciones básicas

Matemáticas 1 · Tema 1

Operaciones básicas

Videos

Video 1 — Ejemplos

Video 2 — Reglas de signos

Apuntes

Las operaciones básicas con números enteros incluyen sumas, restas, multiplicaciones, divisiones, raíces y potencias. La clave está en dominar las reglas de signos.

Sumas y restas
++ ganancia  /  −- deuda
Signos iguales se suman
Signos diferentes se restan
Predomina el signo del número más grande
Multiplicaciones y divisiones
Regla de signos:
(+)(+)=(+)(+)(+) = (+)   (+)(−)=(−)(+)(-) = (-)
(−)(+)=(−)(-)(+) = (-)   (−)(−)=(+)(-)(-) = (+)

Ejemplo

Resuelve las siguientes operaciones con enteros:

−5+3−2+4−1=7−8=-5+3-2+4-1 = 7-8 = −1-1
2(−3)(4)=−6(4)=2(-3)(4) = -6(4) = −24-24
5(−3−8)=5(−11)=5(-3-8) = 5(-11) = −55-55
36=\sqrt{36} = ±6\pm 6
(−2)3=(−2)(−2)(−2)=4(−2)=(-2)^3 = (-2)(-2)(-2) = 4(-2) = −8-8
4(−5)2=4(−5)(−5)=4(25)=4(-5)^2 = 4(-5)(-5) = 4(25) = 100100

Ejercicios

Bloque 1
−5+6−3+2−1=-5+6-3+2-1=
3(−2)(−5)=3(-2)(-5)=
−2(−1−4)=-2(-1-4)=
36=\sqrt{36}=
(−4)3=(-4)^3=
5(−2)2=5(-2)^2=
Bloque 2
8−6+2−1−2=8-6+2-1-2=
−4(−1)(−5)=-4(-1)(-5)=
−4(8−3)=-4(8-3)=
49=\sqrt{49}=
(5)3=(5)^3=
2(−3)3=2(-3)^3=
Bloque 3
−9+1+3−2−4=-9+1+3-2-4=
7(−2)(6)=7(-2)(6)=
−3(−1+9)=-3(-1+9)=
25=\sqrt{25}=
(−6)2=(-6)^2=
−4(1)2=-4(1)^2=
Bloque 4
−7−5+3−2−9=-7-5+3-2-9=
9(1)(5)=9(1)(5)=
5(4+8)=5(4+8)=
121=\sqrt{121}=
(−4)4=(-4)^4=
−6(5)3=-6(5)^3=
Bloque 5
15+3−2+7−9=15+3-2+7-9=
8(3)(−2)=8(3)(-2)=
−7(3−6)=-7(3-6)=
−21=\sqrt{-21}=
(−2)2=(-2)^2=
−3(6)2=-3(6)^2=
Bloque 6
+3−5−2+7+6−8=+3-5-2+7+6-8=
−2(5)(−7)=-2(5)(-7)=
−9(−1−6)=-9(-1-6)=
273=\sqrt[3]{27}=
(−2)5=(-2)^5=
4(−8)2=4(-8)^2=

Respuestas

▼
Bloque 1
−5+6−3+2−1=8−9=-5+6-3+2-1 = 8-9 = −1-1
3(−2)(−5)=−6(−5)=3(-2)(-5) = -6(-5) = 3030
−2(−1−4)=−2(−5)=-2(-1-4) = -2(-5) = 1010
36=\sqrt{36} = ±6\pm 6
(−4)3=(−4)(−4)(−4)=16(−4)=(-4)^3 = (-4)(-4)(-4) = 16(-4) = −64-64
5(−2)2=5(−2)(−2)=5(4)=5(-2)^2 = 5(-2)(-2) = 5(4) = 2020
Bloque 2
8−6+2−1−2=10−9=8-6+2-1-2 = 10-9 = 11
−4(−1)(−5)=4(−5)=-4(-1)(-5) = 4(-5) = −20-20
−4(8−3)=−4(5)=-4(8-3) = -4(5) = −20-20
49=\sqrt{49} = ±7\pm 7
(5)3=(5)(5)(5)=25(5)=(5)^3 = (5)(5)(5) = 25(5) = 125125
2(−3)3=2(−3)(−3)(−3)=2(−27)=2(-3)^3 = 2(-3)(-3)(-3) = 2(-27) = −54-54
Bloque 3
−9+1+3−2−4=4−15=-9+1+3-2-4 = 4-15 = −11-11
7(−2)(6)=−14(6)=7(-2)(6) = -14(6) = −84-84
−3(−1+9)=−3(8)=-3(-1+9) = -3(8) = −24-24
25=\sqrt{25} = ±5\pm 5
(−6)2=(−6)(−6)=(-6)^2 = (-6)(-6) = 3636
−4(1)2=−4(1)(1)=−4(1)=-4(1)^2 = -4(1)(1) = -4(1) = −4-4
Bloque 4
−7−5+3−2−9=3−23=-7-5+3-2-9 = 3-23 = −20-20
9(1)(5)=9(5)=9(1)(5) = 9(5) = 4545
5(4+8)=5(12)=5(4+8) = 5(12) = 6060
121=\sqrt{121} = ±11\pm 11
(−4)4=(−4)(−4)(−4)(−4)=16(16)=(-4)^4 = (-4)(-4)(-4)(-4) = 16(16) = 256256
−6(5)3=−6(5)(5)(5)=−6(125)=-6(5)^3 = -6(5)(5)(5) = -6(125) = −750-750
Bloque 5
15+3−2+7−9=25−11=15+3-2+7-9 = 25-11 = 1414
8(3)(−2)=24(−2)=8(3)(-2) = 24(-2) = −48-48
−7(3−6)=−7(−3)=-7(3-6) = -7(-3) = 2121
−21=\sqrt{-21} = No existe en R\mathbb{R}
(−2)2=(−2)(−2)=(-2)^2 = (-2)(-2) = 44
−3(6)2=−3(6)(6)=−3(36)=-3(6)^2 = -3(6)(6) = -3(36) = −108-108
Bloque 6
+3−5−2+7+6−8=16−15=+3-5-2+7+6-8 = 16-15 = 11
−2(5)(−7)=−10(−7)=-2(5)(-7) = -10(-7) = 7070
−9(−1−6)=−9(−7)=-9(-1-6) = -9(-7) = 6363
273=\sqrt[3]{27} = 33
(−2)5=(−2)(−2)(−2)(−2)(−2)=16(−2)=(-2)^5 = (-2)(-2)(-2)(-2)(-2) = 16(-2) = −32-32
4(−8)2=4(−8)(−8)=4(64)=4(-8)^2 = 4(-8)(-8) = 4(64) = 256256

Ejercicios extra 1

▼
Bloque 7
−9+6−5+3−1=-9+6-5+3-1=
3(−5)(−2)=3(-5)(-2)=
−1(−7−5)=-1(-7-5)=
225=\sqrt{225}=
(−6)3=(-6)^3=
7(−2)2=7(-2)^2=
Bloque 8
−6+7−4+3−1=-6+7-4+3-1=
2(−3)(−6)=2(-3)(-6)=
−4(−5−3)=-4(-5-3)=
81=\sqrt{81}=
(−9)3=(-9)^3=
8(−3)2=8(-3)^2=
Bloque 9
−8+4−3+6−2=-8+4-3+6-2=
6(−4)(−3)=6(-4)(-3)=
−2(−5−4)=-2(-5-4)=
100=\sqrt{100}=
(−8)3=(-8)^3=
5(−1)2=5(-1)^2=
Bloque 10
−7+6−5+4−1=-7+6-5+4-1=
5(−3)(−2)=5(-3)(-2)=
−3(−4−2)=-3(-4-2)=
169=\sqrt{169}=
(−7)3=(-7)^3=
6(−4)2=6(-4)^2=
Bloque 11
−9+5−3+2−1=-9+5-3+2-1=
4(−2)(−5)=4(-2)(-5)=
−1(−5−3)=-1(-5-3)=
64=\sqrt{64}=
(−3)3=(-3)^3=
7(−3)2=7(-3)^2=
Bloque 12
−8+6−4+2−1=-8+6-4+2-1=
4(−3)(−5)=4(-3)(-5)=
−5(−2−6)=-5(-2-6)=
144=\sqrt{144}=
(−5)3=(-5)^3=
9(−2)2=9(-2)^2=
Jerarquía de operaciones →