Exercise on integers and rational numbers

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

6 exercises

N°1427 (integers and rational numbers) : The objective of this corrected arithmetic exercise is to calculate the gcd of two integers.

Exercise example :

Calculate the gcd of 225 and 84.
1427 integers and rational numbers | Numbers 9th Grade gcd
N°1428 (integers and rational numbers) : The objective of this exercise is to use the GCD to check if two integers are prime to each other.

Exercise example :

Are the following numbers 205 and 318 prime to each other ?
1428 integers and rational numbers | Numbers 9th Grade gcd
N°1429 (integers and rational numbers) : The purpose of this exercise is to put a fraction into its irreducible form.

Exercise example :

Put the following fraction in its irreducible form: `144/210`.
1429 fractions | Numbers | integers and rational numbers 9th Grade fraction
N°1435 (integers and rational numbers) : The purpose of this corrected math exercise is to calculate the value of a function for a given number.

Exercise example :

Let f be the application of R in R defined by f(x)=`2*(3*x+1)^2-6*(2*x+3)^2` :
Compute f(2).
1435 integers and rational numbers | Numbers | functions 9th Grade array_values
N°1437 (integers and rational numbers) : The objective of this exercise is to calculate the gcd of two numbers and simplify a fraction.
Exercise example :
1. Compute the GCD of the numbers 5104 and 968.
2. Write the fraction `5104/968` in irreducible form.
1437 mathematics exams and competitions | fractions | Numbers | integers and rational numbers 9th Grade fraction
N°1520 (integers and rational numbers) : The purpose of this exercise is to simplify a fraction using the decomposition of a number into a product of prime factors.

Exercise example :

Write in the form of an irreducible fraction the following fraction `(40*28)/(35*24)` using the decomposition into prime factors.
1520 fractions | Numbers | integers and rational numbers 10th Grade fraction

The integers and rational numbers topic is available for : 9th Grade

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Corrected online exercises on integers and rational numbers