Students solve division problems by changing them into multiplication problems. They then use the relationship between multiplication and division to determine the sign when dividing positive and negative numbers in general.Key ConceptsThe rules for determining the sign of a quotient are the same as those for a product: If the two numbers have the same sign, the quotient is positive; if they have different signs, the quotient is negative. This can be seen by rewriting a division problem as a multiplication of the inverse.For example, consider the division problem −27 ÷ 9. Here are two ways to use multiplication to determine the sign of the quotient:The quotient is the value of x in the multiplication problem 9 ⋅ x = −27. Because 9 is positive, the value of x must be negative in order to get the negative product.The division −27 ÷ 9 is equivalent to the multiplication −27 ⋅ 19. Because this is the product of a negative number and a positive number, the result must be negative.Goals and Learning ObjectivesUse the relationship between multiplication and division to solve division problems involving positive and negative numbers.Understand how to determine whether a quotient will be positive or negative.

This short video and interactive assessment activity is designed to give fourth graders an overview of subtraction (numbers to 1,000).

This short video and interactive assessment activity is designed to teach third graders an overview of subtraction (numbers to 1,000).

This short video and interactive assessment activity is designed to teach fifth graders about fractions of whole numbers - word problems.

This short video and interactive assessment activity is designed to teach fifth graders about the conversion of mixed numbers into decimals.

This short video and interactive assessment activity is designed to teach fourth graders about comparing values of two numbers ii.

This short video and interactive assessment activity is designed to teach second graders about fact families (numbers to 1,000).

This short video and interactive assessment activity is designed to teach fourth graders about comparing values of two numbers.

In this number line task students must treat the interval from 0 to 1 as a whole, partition the whole into the appropriate number of equal sized parts, and then locate the fraction(s).

This short video and interactive assessment activity is designed to teach first graders an overview of subtraction (numbers to 100).

This short video and interactive assessment activity is designed to teach second graders an overview of subtraction (numbers to 1,000).

This short video and interactive assessment activity is designed to teach fourth graders about identifyinging prime or composite numbers.

This short video and interactive assessment activity is designed to teach fifth graders about representing numbers in expanded form.

This short video and interactive assessment activity is designed to teach third graders about comparing values of two numbers.

This short video and interactive assessment activity is designed to teach fourth graders about arranging numbers in specific orders.

This short video and interactive assessment activity is designed to teach third graders about fact families (numbers to 1,000).

In this number tracing activity students create a rainbow number line. This can be a colorful tool with a personal connection to the student that may be used as a reference. It can serve as a visual and motor reminder when reading and writing numbers because the student went through the tracing motion.

This task requires students to determine whether a number is rational or irrational. The task assumes that students are able to express a given repeating decimal as a fraction.