Integers: 6th grade math course in PDF.

A math course in sixth grade (6ème) In this free lesson on integers, which you can download in PDF format, we will deal with the decomposition and the position of a digit as well as the location on a graduated line in order to be able to compare, afterwards, two integers.
We will approach the whole numbers as well as the position of a digit, then the ascending and descending order as well as the comparison of two whole numbers in the sixth grade.

I. Decomposition and name of the numbers


In mathematics, we have ten digits 0,1,2,3,4,5,6,7,8,9 which allow us to write all the whole numbers, just as the 26 letters of the alphabet from A to Z allow us to write all the words.


  • 1,054 is a four-digit number;
  • 7 is a single digit number.

In order to be able to read large integers easily, we group the digits together

in increments of three, starting from the right.


1049658723 is written 1 049 658 723

  • a. This number is written one-billion-forty-nine-million-six-hundred-fifty-eight-thousand-seven-hundred-twenty-three.
  • It is broken down as follows: 1\,\,049\,\,658,\,723=,(\,1\times  \,1\,000\,000\,000+4\times  \,10\,000\,000+9\times  \,1\,000\,000+6\times  \,100\,000+5\times  \,10\,10\,000+8\times  \,1\,000+7\times  \,100+2\times  \,10+3\times  \,1\,\,)
  • 7 is the hundreds digit and 4 is the tens digit.
  • The number of millions is 1,049. Not to be confused with the number of millions which is 9.

II. Locating on a graduated line


A graduated half-line is a half-line on which one has regularly plotted

a unit of length from its origin point O.


On a graduated half-line, a point is marked by a unique number called its abscissa.

The origin of the frame of reference noted O, has abscissa 0.


Give the abscissae of points A and B.

  • Point A has abscissa 300. We note A(300).
  • Point B has abscissa 800. We note B(800).

III. Comparison and storage


Comparing two numbers means finding the larger or smaller one, or telling if they are equal.

  • To arrange numbers inascending order is to arrange them from smallest to largest.
  • To arrange numbers indescending order is to arrange them from largest to smallest.

ascending order descending order


Arrange the following numbers 25 342, 253 420, 25 243, 235 420, 25 324 in ascending order.

The smallest number is marked, then the smallest number left, and so on until the last one.

So we get 25,243 < 25,324 < 25,342 < 235 420 < 253 420.

Did you learn the whole numbers in 6th grade?

Les nombres entiers.

QCM de maths en 6ème sur les nombres entiers.

Things to remember:

Skills to learn about integers:

what to remember

  • Know the definition of a whole number;
  • Notion of integer and decimal parts;
  • Know how to give the position of a number (tenth, hundredth, unit, thousands, …);
  • Perform operations (addition, subtraction, multiplication and Euclidean division);
  • Decompose a whole number.

This course is in accordance with the official programs of thenational education.

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

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