Division of whole numbers.—To divide a number by the product of several factors, it is sufficient to divide successively by the factors of the product.
Remainders from dividing a whole number by 2, 3, 5, 9, and 11.—Applications to the characters of divisibility by one of those numbers; to the verification of the product of several factors; and to the verification of the quotient of two numbers.
Prime numbers. Numbers prime to one another.
To find the greatest common divisor of two numbers.—If a number divides a product of two factors, and if it is prime to one of the factors, it divides the other.—To decompose a number into its prime factors.—To determine the smallest number divisible by given numbers.
Vulgar fractions.
A fraction does not alter in value when its two terms are multiplied or divided by the same number. Reduction of a fraction to its simplest expression. Reduction of several fractions to the same denominator. Reduction to the smallest common denominator.—To compare the relative values of several fractions.
Addition and subtraction of fractions.—Multiplication. Fractions of fractions.—Division.
Calculation of numbers composed of an entire part and a fraction.
Decimal numbers.
Addition and subtraction.