Introducing Fractions: Summary: Introducing Fractions
This clip provides a summary of Introducing Fractions. It discusses how and why fractions are used, including for purposes of comparing one quantity with another, as a means by which to express division, and as a way to measure.
Renaming Fractions: Fractions Marking the Same Point on the Number Line
This clip uses the number line to explain that some fractions with different names, like 1/2 and 2/4, actually represent the same number.
Compound Denominate Numbers: Practical Problems: Multiplying Compound Denominate Numbers
This clip includes practical problems that are solved by multiplying compound denominate numbers. The first of these involves figuring out the area of a rug, followed by a problem about the square footage of an office and the amount of rent due each...
Compound Denominate Numbers: Working With Metric Compound Denominate Numbers
This clip explains how working with metric compound denominate numbers differs from compound denominate numbers in the U.S. Customary System. "In the Metric System, we don't usually see a value like 21 meters 72 centimeters," the clip states. "Inste...
Dividing Decimal Fractions: Changing the Decimal Divisor to a Whole Number
This clip states that "mathematicians never divide by decimals. If the divisor is a decimal, they change it to a whole number." The clip then explains how this is done, with the divisor multiplied by some power of ten to become a whole number and th...
Compound Denominate Numbers: Dividing Compound Denominate Numbers
This clip explains how to divide compound denominate numbers, noting that the first step is to convert the numbers to a single unit. The clip includes practical problems in which the student is asked to figure out how many chassis parts can be assem...
Compound Denominate Numbers: Practical Problems: Adding Compound Denominate Numbers
This clip presents a number of practical problems in which compound denominate numbers must be added. The process involves unit conversion to the larger unit where possible.
Compound Denominate Numbers: Working With Compound Denominate Numbers
This clip explains that a denominate number is, "
any number that is written with a unit." The clip notes that compound denominate numbers are numbers that have more than one unit. "When we add compound denominate numbers," the clips states, "
we ...
Dividing Decimal Fractions: Summary: Dividing Decimal Fractions
This clip summarizes dividing decimal fractions, explaining that, "
in any division problem involving decimals, the first step is to make sure the quotient is a whole number." The clip explains how that is done, then notes that "
we place the deci...
Dividing Signed Numbers: Introduction to Dividing Signed Numbers
This clip explains that the rules for dividing signed numbers are the same as for multiplying signed numbers, "
except, of course, that we divide the absolute values instead of multiplying." When the signs are the same, the quotient is positive. Wh...