Relative numbers: answer key to 5th grade math exercises in PDF.

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The answer key to the math exercises in 5th grade on relative numbers. Know how to compare two numbers and perform operations with addition, subtraction, multiplication and division. To place a point knowing its coordinates in an orthonormal plane.

Exercise 1:

$A=\,(+17)\,+\,(-4)\,=3\,\\B=\,(-6)\,+\,(-5)\,=\,-\,11\,\\C=\,(-7)\,+\,(+3)\,+\,(-2)\,=\,-\,6\,\\D=\,(+4)\,+\,(-3)\,+\,(+2)\,+\,(-1)\,=\,2\,\\E=\,(-7)\,+\,(-10)\,+\,(+5)\,+\,(-1)\,+\,(+2)\,=\,-\,11$

$F=(+7)\,-\,(-5)\,=\,7+5=12\,\\G=\,(+12,3)\,-\,(+5,6)=6,7\,\\H=\,(+35,3)\,-\,(-4,5)=\,39,8\,\\I=\,(-13)\,-\,(+55)\,=\,-\,68\,\\J=\,(-25)\,-\,(-47)\,=\,22$

Exercise 2:

$A\,=\,(+27)\,-\,(+53)\,+\,(-2,9)\,-\,(+13,7)\,=\,27-53-2,9-13,7=\,-\,42,6$

$B\,=\,(-25)\,-\,(-47)\,-\,(-17,7)\,-\,(+3,4)\,=\,-25+47+17,7-3,4\,=\,36,3$

$C\,=\,(-13)\,-\,(+55)\,+\,17\,-\,32\,+\,56\,-\,32\,+\,12,87\,=\,-13-55+17-32+56-32+12,87=\,-\,46,13$

$D\,=\,(-26\,)+\,(+\,75)\,-\,(+\,6)\,+\,(-\,27)\,-\,(-\,48)\,=\,-26+75-6-27+48=\,64$

Exercise 3:

$A\,=\,(+503)\,-\,(-343,8)\,-\,(-415,5)\,-\,(743,8)\,+\,(-203)\,+\,(-84,5)$

$A=503+343,8+415,5-743,8-203-84,5=\,231$

Exercise 4:

$A\,=\,(\,-\,5\,)\,+\,(\,3\,-\,2\,x\,4\,-\,6)\,-\,(\,-\,12\,)\,\\A\,=\,-5+(3-8-6)+12\,\\A\,=\,-5-11+12\,\\A=\,-16+12\,\\A=-4$

$B\,=\,(+\,7,4)\,-\,%5B2\,+\,(\,3\,-\,4\,x\,2,6)%5D+\,(-7)\,+\,(-11)\,\\B=7,4-%5B2+(3-10,4)%5D-7-11\,\\B=7,4-(2+3-10,4%5D-18\,\\B=7,4-(-5,4)-18\,\\B=7,4+5,4-18\,\\B=\,-\,5,2$

Exercise 5:

$-1237-(-1134)=-1237+1134=\,-\,103$

There are 103 years between these two deaths.

Exercise 6:

$A\,=\,19\,+\,(\,8\,-25\,)\,=19-17=2$

$B\,=\,(\,-15\,+\,6\,)\,-\,(\,2-\,18\,)=-9-5=-\,14$

$C\,=\,(\,154\,-\,6\,)\,+\,3\,-\,(-\,9\,+\,7\,)=\,148+3-(-2)=151+2=153$

$D\,=\,-\,13\,+\,(\,5\,+\,8\,)\,-\,(\,-\,4\,+\,8\,)=-13+13-4=-4$

Exercise 7:

A = ( – 5 ) – ( + 7 ) – ( – 3 ) + ( + 11 ) B = ( – 2 ) + ( – 1 ) – ( + 4 ) + ( – 3 ) – ( – 8 )

C = ( – 28 ) – ( – 32 ) + ( -25 ) + ( + 28 ) + ( -32 ) D = ( – 25 ) – ( – 36 ) + ( + 12 ) – ( + 13 ) – ( – 10 )

E = 15 + 7 – 12 + 18

E=28

F = – 9 + 3 – 4 + 7

F=-3

G = 18 + 12 – 9 + 11 – 15 + 10

G = 27

Exercise 8:

Calculate the following numerical expression:

$A=-7+9+4-2-9\\A=2+4-2-9\\A=6-11\\A=-5$

Exercise 9:

$-5<-4\\-14>-15\\-3<-2\\0>.-4\\7>3\\-12>-15$

2. Arrange the following relative numbers in descending order:

3. Give all negative integers greater than – 5.1
-5;-4;-3;-2;-1;0
4. Complete with a relative number: 0.005 <0.0054 < 0.01; – 6.1 < -6.05 < – 6.

5. Give all the relative integers that verify – 2.9 < a < 2.1 .

-2;-1;0;1;2

Exercise 10:
A =( 5-7 )+(-9)
A =( -2 )+(-9)
A = – 2 – 9
A = -11

B = [(-4) +( 5-3)] – (7+8)
B = [(-4) +(2)] – (15)
B = (-2) – (15)
B = – 2 – 15
B = – 17

C = [(8-9) -3] -( 8+4 )
C = [(-1) -3] -(12 )
C = (-4) -(12 )
C= – 4 – 12
C= – 16

D = [(1-3) +7) -2] + (7-8)
D = [((-2) +7) -2] + (-1)
D = [(+5) -2] + (-1)
D = (+3) + (-1)
D = 2

Exercise 11:

The abscissa of the first graduated line are :

A( + 2 ) B(-4) C(-2) D(0) E(+3) F(-3) G(+3,5) H(-3,5) .

The following numbers are arranged in ascending order:

-5.8<-5.35<-3.7<0<+6.28<+6.4

Exercise 12:

A = -27+12-( -4) + (-55) +5

A = -27+12+( +4) + (-55) +5

A = -27+12+4-55 + 5

A = -15+4-55 +5

A = -61

B =10,2+( -33) – (+4,7) +8,9+ (-7,8) – (-10,5)

B =10,2+( -33) + (-4,7) +8,9+ (-7,8) + (+10,5)

B =10,2 -33-4,7+8,9-7,8+10,5

B =10,2 -33 -4,7 +8,9 -7,8 +10,5

B = – 15,9

C = -101+23,7+ (-42,8) + (-32,9) +74,2

C = -101+23,7-42,8-32,9+74,2

C = -78,8

Exercise 13:

A=(-6)+(+7)+(+10)+(-11)

A=-6+7+10-11

A=1+10-11

A=0

B=(-2)+(-7)+(+9)

B=-2-7+9

B=-9+9

B=0

C=(-3)+(-7)+(+3,5)+(+8)+(-1)

C=-3-7+3,5+8-1

C=-10+3,5+8-1

C=-6,5+8-1

C=1,5-1

C=0,5

D=(-4)+(+9)-(-2)

D=-4+9+2

D=5+2

D=7

E=(+8)-(-5)-(+12)+(-2)

E=8+5-12-2

E=13-12-2

E=1-2

E=-1

Exercise 14:

The drawing represents a boat.

Exercise 15:

A=(-8)+(+9)+(+4)+(-6)

A=-8+9+4-6

A=1+4-6

A=5-6

A=-1

B=(-25)+(-75)+(+37)+(+13)

B=-25-75+37+13

B=-100+37+13

B=-63+13

B=-50

C=(-6,4)+(+1,2)+(-12,3)+(-8)

C=-6,4+1,2-12,3-8

C=-5,2-12,3-8

C=-17,5-8

C=-25,5

Exercise 16:

A= -2+(-5+3)+7 = 3	E=12–(7–9)–(-10+9)=15	F= -4-8+(3-11)+2 = – 18
G=7-(12-8-15)-(-7+4) = 21	I=5-(-7+2)-9 = 1	L=2-(-8+15)-(-2+11-4) = – 10
N= -9-(4-8+7)-4 = – 16	P= -9+(-4-7+6)+(-5+9-12)=- 22	R= -4+5-(2-8)-9 = – 2
S= -8-(-4+5-7)+(-2+9) = 5	T=3-(5-9)-(12-4+7) = – 8	U= -5-(-9+2)-(-4+6-11) = 11

Answers to the exercises on relative numbers in 5th grade.

After consulting the answers to these exercises on relative numbers in 5th grade, you can return to the exercises in 5th grade.

Fifth grade exercises.

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