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

Exercise example N°1418 :

Write in the form `a*sqrt(b)`, the following expression `sqrt(480)`, where a and b represent two integers.

square roots order, absolute value, inequations numbers and equations functions 9th Grade 10th Grade simplify_surd

The purpose of this corrected math exercise is to write a square root in a simplified form.

Exercise example N°1511 :

Calculate the absolute value of `C=8+9`.

order, absolute value, inequations functions Numbers 10th Grade abs

This corrected exercise consists simply in calculating the absolute value of a numerical expression.

Exercise example N°1512 :

Calculate the absolute value of `F=2/3-3/7`.

order, absolute value, inequations functions Numbers 10th Grade abs

This corrected exercise consists simply in calculating the absolute value of an algebraic expression composed of fractions.

Exercise example N°1513 :

Solve the following equation `|x-4|=2`.

order, absolute value, inequations equations functions 10th Grade equation_solver

The purpose of this corrected exercise is to solve an equation with an absolute value (equation of the form |x-a|=b).

Exercise example N°1514 :

Solve the following equation `|x+9/2|=9/4`.

order, absolute value, inequations equations functions 10th Grade equation_solver

The purpose of this corrected exercise is to solve an equation with an absolute value (equation of the form |x-a|=b).

Exercise example N°1515 :

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*?*?

order, absolute value, inequations Numbers 10th Grade prime_factorization

The purpose of this corrected exercise is to complete the decomposition of a number into prime numbers.

Exercise example N°1516 :

Give the decomposition of 854 into a product of prime numbers by ordering the factors and using the power operator ^ if necessary.

order, absolute value, inequations Numbers 10th Grade prime_factorization

The purpose of this exercise is to find the ordered decomposition of a number into primes.

Exercise example N°1517 :

51 is an integer, is it prime ?

order, absolute value, inequations Numbers 10th Grade prime_factorization

The purpose of this corrected arithmetic exercise is to determine if a number is a prime number.

Exercise example N°1518 :

Give the product decomposition of the following expression 30*16 by ordering the factors and using the power operator ^ if necessary.

order, absolute value, inequations Numbers 10th Grade prime_factorization

The goal of this exercise is to find the ordered decomposition of a product of numbers into primes.

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