Explore Explore
Playlist DVIA: Division of Positive Rational Numbers
DVIA: Division of Positive Rational Numbers
• Created By Ashley Scott
• This playlist will cover the concept of division as it relates to dividing positive rational numbers in various forms, such as whole numbers, fractions/ratios, mixed numbers and decimal numbers. A positive rational number is a positive number that can be expressed as the quotient/fraction of two positive integers, with the denominator not equal to zero. By the end of this playlist, students will be able to divide multi-digit whole numbers, divide like and unlike fractions, divide mixed numbers and divide decimal numbers. This playlist is best when completed in the order in which resources appear.
 Instructional Resources If you are a parent educator, the best way to approach this playlist is to review the resources prior to having your students work through the playlist. There are plenty of resources available, but do not feel pressured to use all of them. Pick and choose what would be most helpful for your particular student (s). When having students independently complete the playlist, plan to have them start wherever you see most appropriate and be prepared to check for understanding with students after each section or more frequently as needed. 2 0 0 0 0 0 0 0 0 0 Division for Beginners What exactly is division? In mathematics, division is an arithmetic operation that involves splitting "something" into equal groups. In this playlist, that "something" can refer to a whole number, a fraction, a mixed number, or a decimal number. Since division is closely related to multiplication, knowing multiplication facts with automaticity can make division much easier. If you cannot yet retrieve your multiplication facts automatically, feel free to use a multiplication chart (attached to this section). 0 0 0 0 3 0 4 1 6 1 1 0 6 0 3 0 2 0 Division of Multi-Digit Whole Numbers 0 0 0 0 0 0 0 0 0 0 0 0 Division of Like and Unlike Fractions When dividing fractions, it is often helpful to ask yourself, "How many ____'s are there in ______? For example, in the question 6 ÷ 1/2, you would ask, "How many halves are there in 6?" It becomes a little more difficult when both numbers are fractions. 1/2 ÷ 1/4 is an example of this. The algorithm for dividing fractions is just like multiplying fractions, but you find the inverse of the second fraction or you cross-multiply. This gets you the right answer, but is often difficult to understand without proper conceptualization and visualization of what is actually happening when dividing fractions. 0 0 0 0 0 0 0 0 0 0 Division of Mixed Numbers 0 0 0 0 0 0 Division of Decimal Numbers 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Review and Assessment 0 0