Relative numbers: corrected 5th grade math exercises in PDF.

A series of exercises in fifth grade on relative numbers in math. Thus, these relative numbers are essential to the student’s learning in the field of mathematics. Indeed, they bring a lot of knowledge to the students and allow them to immerse themselves further. To this end, exercises on relative numbers are necessary for a good understanding of the chapter. Consequently, you will find in these exercises all the notions of this chapter taught in the fifth grade.

First, we have the definition of the relative number;
Then, the digital part;
Then, the graduated line and distance to zero;
In addition, there is the comparison of relative numbers;
Also, the coordinates of points in the plane;
Finally, addition and subtraction of relative numbers.

Then, in a second step, we will approach the addition and subtraction of relative numbers. Then we will end this lesson with concrete problems from everyday life in the seventh grade.

Indeed, in the fifth grade, we learned to work with numbers. In addition, we also learned how to perform mathematical operations. In addition, we studied relative numbers. However, it is important to know that these numbers can be positive, negative or zero.

In addition, this series of corrected exercises are available for free download in PDF format.

Series of exercises on relative numbers in math

Exercise 1: relative numbers

In each of the lists below, what are the positive, negative, integer relative numbers?

1) + 4 ; 0 ; – 7 ; 8,4 ; – 26 ; – 5,04 ; 0,07 ; 14

2) 8,5 ; – 1,98 ; + 19,5 ; 44 ; 0 ; – 6,1 ; – 13

Exercise #2:

a) Give the abscissae of points A, E, F and I .

b) Locate the points L(- 3); R(- 6) and S(6).

c) Locate the point T symmetrical to I about the origin: what is the abscissa of T?

d) What word can you read? :

Exercise n°3 relative numbers:

Draw a line in cm and place the points A, B, C, D, E and F with respective abscissas

– 2,5 ; – 3,5 ; – 2,8 ; 2,4 ; – 0,6 ; 0,6.

Exercise #4:

a) Draw a straight line using 2 cm as the unit.

b) Place the points R and S whose distances to zero are equal to 3.5.

c) What are the coordinates of R and S?

d) Who is the middle of [RS]?

Exercise #5:

Complete with the symbol >, < or =.

29 ….. 48

– 6 ….. 6

8 ….. 0

– 8 ….. 0

– 5 ….. – 4

– 34 ….. 24

– 18 ….. – 3

– 6,5 ….. – 9,2

5,27 ….. 3,58

– 5,7 ….. – 3,8

2,6 ….. – 3,8

– 4,3 ….. 2,8

– 2,5 ….. – 4,3

– 1,8 ….. – 16

– 4 236 …. 0,2

– 7,3 ….. – 4,3

– 15 ….. -51

3,01 …. 3,001

– 9,01 ….. – 9,9

11,09 …… 11,009

– 5,99 …… – 5,999

– 4,26 ….. – 4,3

– 23,2 ….. – 23,26

– 18,43 ….. – 18,4

Exercise n°6 : relative numbers

Arrange the following relative numbers in descending order:

3,2 ; 2,7 ; – 5,2 ; – 2,7 ; 0 ; 3,26 ; 0,8 ; – 2,72 ; – 2,08

Exercise n°7 relative numbers :

a) Arrange the following relative numbers in ascending order: 4.72; – 2.74; 4.702; – 2.704; 4.712; + 2.704

b) Arrange the following relative numbers in descending order: – 0,8; – 0,9 ; – 0,7; 0; – 1; +1; – 0,2; + 0,6 ; – 1,3

Exercise #8 relative numbers :

Complete the boxes with a relative number that fits:

– 2 < ….. < 0 ; – 8,8 < ….. < – 7,7 ; – 3 < ….. < + 4 ; – 5 < ….. < – 4

– 6 < – 4 < ….. ; ….. < 2,8 < ….. ; ….. < – 26 < ….. ; – 9 < ….. < – 2

Exercise n°9 relative numbers:

What are the relative integers verifying: – 3 < x < + 4 and – 6 < x < – 1

Exercise #10:

Determine the value of the following expressions:

A = (+27) – (+53) + (-2,9) – (+13,7)

B = (-25) – (-47) – (-17,7) – (+3,4)

C = (-13) – (+55) + 17 – 32 + 56 – 32 + 12,87

D = (-26 )+ (+ 75) – (+ 6) + (- 27) – (- 48)

Exercise 11: relative numbers

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

Thus, we need to calculate A by making clever groupings.

Exercise #12:

Simplify and then calculate the value of A and B.

A = ( – 5 ) + ( 3 – 2 x 4 – 6 ) – ( – 12 )

B = (+ 7.4) – [2 + ( 3 – 4 x 2,6)]+ (-7) + (-11)

Exercise #13:

Ramses II was a pharaoh born in -1304 and lived 67 years.

Ramses III lived 32 years and died in 1134 BC.

How many years separate the date of death of Ramses II from the date of death of Ramses III?

Exercise 14: relative numbers

Calculate each expression.
$A=9+(-16)+(-8)+22\,\\B=-48+34+26+(-12)\,\\C=-7,5+12,3+(-2,5)+(-5)+12,7$

Exercise 15: relative numbers

Calculate each expression.
$D=-35-(-8)+14-26\,\\E=54-17-(-11,5)-6+4\,\\F=-18+(-17)-(-16)+15-(-14)$

Exercise #16:

Lilian registered for the “Trail de la Galinette”, a race that starts in Cadolive (Bouches-du-Rhône). A few days before the departure, he studies the graph of the differences in altitude.

a. Write an expression that calculates the arrival altitude.
b. Calculate this altitude.

Exercise 17: relative numbers

Calculate cleverly.
$a.\,5,4\,+\,(-\,2,6)\,+\,(-\,40)\,+\,2,6\,+\,4,6\,\\b.-8,2+(-9)+4,1+(-9)+4,1$

Exercise 18: relative numbers

Calculate by hand.
$a.\,18+(-6,7)\,\,\,\,\,b.-51,6\,+(-19,3)\,\\c.-14,8+7,4\,\,\,\,\,d.\,36,25\,+(-48,75)\,\\e.-21+(-78)\,\,\,\,\,f.-6,75+6,75$

Exercise #19:

In each brick, the number to be written is the sum of the numbers written in the two bricks
located below.

Copy and complete each pyramid.

Exercise 20: relative numbers

Calculate by hand.

$a.7,5-(-15)\,\,\,\,b.-12,6-5,2\,\\c.-24,9-(-11,5)\,\,\,\,\,d.16,5-5,6\,\\e.-17,25\,-2,75\,\,\,\,\,f.-58-(-43,5)\,\\g.-53-104\,\,\,\,\,h.-37,5\,-\,82,5$

Exercise n° 21 relative numbers :

Thales was born in 625 BC and died in 546 BC.
Pythagoras was born in -580 and died in -495.
Hypatia was born in 355 and died in 415.

Which of these three philosophers and mathematicians lived the longest?

Exercise 22: relative numbers

Calculate by hand.

$A=9-4+(6-11)-(-8+3-2)\,\\B=-16-(7-15+4)-(-5+12)\,\\C=7-5+(2-3)-(-7+5-3)\,\\D=-10-(5-3+2)-(-13+12)$

Exercise 23: relative numbers

Arrange the following relative numbers in ascending order.

Exercise 24:

Arrange these major dates of Roman civilization in descending order.

Exercise 25 relative numbers :

Fusion is the passage from the solid state to the liquid state.

Here is the melting temperature of some chemical species.

Arrange these melting temperatures in ascending order.

Exercise 26:

Associate each thermometer (in °C) with the corresponding sentence.

Explain.

Exercise 27:

Give the abscissa of each of the points A, B, C, D and E.

Exercise 28:

1. Give the coordinates of point A in the reference frame below.

2. Reproduce this figure and represent:
a. In green, the points that have the same abscissa as A ;
b. In blue, the points that have the same ordinate as A.

Exercise 29:

Give the coordinates of points A, B, C, D and E.

Exercise 30 relative numbers math :

Corentin and Sarah are organizing a hike in Port-Cros (in the Var) to go around the island. The places indicated on the map correspond to the different stopping points during their journey.
Determine the coordinates of these breakpoints.

Cette publication est également disponible en : Français (French) العربية (Arabic)