Absolute value: math exercises in 2nd grade corrected in PDF.

The absolute value of a number allows us to consider a number without taking into account its sign. More precisely, if a number x is positive, then the absolute value of x is x. However, if x is negative, then the absolute value of x is its opposite, i.e. -x. With second grade math exercises on absolute value, you will develop new skills.

Exercise series on absolute value

Exercise 1:

Solve in the following equations and inequations:

a) | 2 – x | < 4

b) | 6 – 2 x | = 3

c) | x + 2 | > 3

d) | x + 2 | < | x + 3 |

e) | x3 – 1 | + p > 0

f) 3 < | x + 2 | < 4

g) | 4 – 12 x + 9 | = 4

h) | 3 x + 1 | + | 1 – x | > 3

i) | 1 + | =2x

Exercise 2:

Calculate.

a) %7C-4%7C b) %7C3,8%7C c) %7C-\frac{100}{3}%7C

d) %7C5-6%7C e) %7C\sqrt{17}-2%7C f) %7C2-\sqrt{17}%7C

Exercise 3:

Without a calculator, simplify :

a) %7C4%7C+%7C-3%7C b) %7C1,2%7C-%7C-1,2%7C

c) \frac{%7C5-8%7C-3}{2} d) 2%7C4-10%7C+%7C7-5%7C

Exercise 4:

1.a) On a graduated line, place the numbers 5 and \frac{1}{3}.

b) Calculate the distance between 5 and \frac{1}{3}.

2. Repeat question 1. with 3 and -\frac{4}{5}.

3. Repeat question 1. with -1 and -\frac{4}{5}.

Exercise 5:

Using an absolute value, write the distance between :

a) \frac{125}{3} and 2. b) \sqrt{2} and 5

c) – 5 and \frac{12}{5} d) \pi and 4

Exercise 6:

without calculator, simplify :

a) %7C5-\pi%7C b) %7C8-\frac{2}{3}%7C c) %7C2-\frac{9}{2}%7C

d) %7C-1-8%7C e) %7C-5-\pi%7C f) %7C\frac{1}{2}+6%7C

Exercise 7:

In the same way that %7Cx-3%7C represents the distance between the real number x and 3,

express in terms of distance :

a) %7Cx-100%7C b) %7Cx-\frac{1}{3}%7C

c) %7Cx+5%7C d) %7C1,35,-x%7C

e) %7C-7-x%7C f) %7C\pi-x%7C

Exercise 8:

Determine the set, in interval form, of real numbers x verifying :

a) %7C%7Cx-10%7C\leq\,\,1 b) %7Cx-2,5%7C\leq\,\,0,2 c) %7Cx-\frac{1}{2}%7C\leq\,\,\frac{5}{2}

Exercise 9:

Consider an interval [a ; b] with a and b two real numbers.

The center of the interval [a ; b] is the number c=\frac{a+b}{2}
and radius of the interval [a ; b] the number r=\frac{b-a}{2}.
Graphically, we have :
Absolute value

1. a) Calculate the center and radius of [2; 6].

b) Translate |x – 4| in terms of the distance between two real numbers.
c) Copy and complete: x\in%5B2;6%5D\Leftrightarrow\,%7Cx-4%7C\leq\,\,...

2. In the same way, copy and complete :
a) x\in%5B1;25%5D\Leftrightarrow\,%7Cx-13%7C\leq\,\,....
b) x\in%5B6;20%5D\Leftrightarrow\,%7Cx-...%7C\leq\,\,...
c) x\in%5B1,2;3%5D\Leftrightarrow\,%7Cx-...%7C\leq\,\,...

Exercise 10:

Write an inequality verified by x and using an absolute value in the following cases.

a) x\in\,%5B-4;5%5D b) x\in\,%5B0;1,1%5D a) x\in\,%5B\,\frac{1}{3};\frac{2}{3}%5D

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

Télécharger puis imprimer cette fiche en PDF

Télécharger ou imprimer cette fiche «absolute value: math exercises in 2nd grade corrected in PDF.» au format PDF afin de pouvoir travailler en totale autonomie.


D'autres fiches dans la section 2nd grade math exercises




Télécharger nos applications gratuites Mathématiques Web avec tous les cours,exercices corrigés.

Application Mathématiques Web sur Google Play Store.    Application Mathématiques Web sur Apple Store.    Suivez-nous sur YouTube.


D'autres articles analogues à absolute value: math exercises in 2nd grade corrected in PDF.


  • 94
    Inequations and sign tables: corrected math exercises in 2nd grade in PDF.Doing math exercises on inequations and sign tables in 2nd grade are essential. Indeed, this chapter encompasses quite practical and general knowledge. Once the student understands and processes them well, it becomes child's play for them. Therefore, try to develop any type of inequations to take advantage of this chapter.…
  • 92
    Volumes and sections in space: math exercises in 3ème.A series of math exercises in third grade on volumes in space and on sections of volumes in space (enlargement and reduction of volumes). Exercise 1: A basket has the shape of a truncated cone whose bases have as diameters the segments [AB] and [CD], located in the same plane.…
  • 92
    Arithmetic: 9th grade math exercises with answers in PDF.Arithmetic with corrected 3rd grade math exercises are always worth considering. Thus, the notion of multiple and divisors of a whole number is very important. Also, with this chapter, you will know the prime factor decomposition of any positive integer. In addition, the student will need to know the definition…
Les dernières fiches mises à jour

Voici la liste des derniers cours et exercices ajoutés au site ou mis à jour et similaire à absolute value: math exercises in 2nd grade corrected in PDF. .

  1. Integrals : corrected high school math exercises in PDF.
  2. Intégrales : exercices de maths en terminale corrigés en PDF.
  3. الوظائف والحدود: تمارين الرياضيات في السنة النهائية مصححة بتنسيق PDF.
  4. Functions and limits: senior math exercises corrected in PDF.
  5. Fonctions et limites : exercices de maths en terminale corrigés en PDF.


Inscription gratuite à Mathématiques Web. Mathématiques Web c'est 2 146 112 fiches de cours et d'exercices téléchargées.

Copyright © 2008 - 2023 Mathématiques Web Tous droits réservés | Mentions légales | Signaler une Erreur | Contact

.
Scroll to Top
Mathématiques Web

FREE
VIEW