Exercises on number comparisons, absolute value, and inequations

Here is the list of mathematical exercises on comparisons of numbers, on absolute value, and on inequations. Each corrected exercise is accompanied by indications, reminders of the course, and methodological advice, which allows you to practice independently.

9 exercises

N°1418 (order, absolute value, inequations) : The purpose of this corrected math exercise is to write a square root in a simplified form.

Exercise example :

Write in the form `a*sqrt(b)`, the following expression `sqrt(480)`, where a and b represent two integers.
1418 square roots | order, absolute value, inequations | numbers and equations | functions 9th Grade | 10th Grade simplify_surd
N°1511 (order, absolute value, inequations) : This corrected exercise consists simply in calculating the absolute value of a numerical expression.

Exercise example :

Calculate the absolute value of `C=8+9`.
1511 order, absolute value, inequations | functions | Numbers 10th Grade abs
N°1512 (order, absolute value, inequations) : This corrected exercise consists simply in calculating the absolute value of an algebraic expression composed of fractions.

Exercise example :

Calculate the absolute value of `F=2/3-3/7`.
1512 order, absolute value, inequations | functions | Numbers 10th Grade abs
N°1513 (order, absolute value, inequations) : The purpose of this corrected exercise is to solve an equation with an absolute value (equation of the form |x-a|=b).

Exercise example :

Solve the following equation `|x-4|=2`.
1513 order, absolute value, inequations | equations | functions 10th Grade equation_solver
N°1514 (order, absolute value, inequations) : The purpose of this corrected exercise is to solve an equation with an absolute value (equation of the form |x-a|=b).

Exercise example :

Solve the following equation `|x+9/2|=9/4`.
1514 order, absolute value, inequations | equations | functions 10th Grade equation_solver
N°1515 (order, absolute value, inequations) : The purpose of this corrected exercise is to complete the decomposition of a number into prime numbers.

Exercise example :

Indicate by which number the "question mark" must be replaced in the prime decomposition of 60 so that the following equality is verified.
60 = 3*5*?*?
1515 order, absolute value, inequations | Numbers 10th Grade prime_factorization
N°1516 (order, absolute value, inequations) : The purpose of this exercise is to find the ordered decomposition of a number into primes.

Exercise example :

Give the decomposition of 854 into a product of prime numbers by ordering the factors and using the power operator ^ if necessary.
1516 order, absolute value, inequations | Numbers 10th Grade prime_factorization
N°1517 (order, absolute value, inequations) : The purpose of this corrected arithmetic exercise is to determine if a number is a prime number.

Exercise example :

51 is an integer, is it prime ?
1517 order, absolute value, inequations | Numbers 10th Grade prime_factorization
N°1518 (order, absolute value, inequations) : The goal of this exercise is to find the ordered decomposition of a product of numbers into primes.

Exercise example :

Give the product decomposition of the following expression 30*16 by ordering the factors and using the power operator ^ if necessary.
1518 order, absolute value, inequations | Numbers 10th Grade prime_factorization

The order, absolute value, inequations topic is available for : 10th Grade

List of exercises by class : middle and high schools, 6th Grade, 7th Grade, 8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade.

Exercises on comparisons of numbers, on absolute value, and on inequations