Introducing Fractions: Fractions and Denominators
This clip explains that we can think of any whole number as a fraction with a denominator of 1, and any fraction with a denominator of 1 as a whole number. The clip also explains that we can't have fractions with a denominator of 0.
Dividing Decimal Fractions: Dividing Decimals: Four Different Outcomes
This clip presents four different outcomes that may occur when dividing decimals: The first possibility is that the division comes out even "just as it stands, with no remainder." The second possibility is that the division comes out even only after...
Solving Equations: Summary: Solving Equations
This clip summarizes how to solve equations. It describes the relationship between word problems, number sentences and equations, noting that the latter are, "
nothing more than a statement that two mathematical expressions are equal." The clip rev...
Solving Equations: Solving An Equation
This clip describes the steps in solving a simple equation. It states that "...the important thing is to study the equation, decide what you want to move around or get rid of, and proceed step by step." It also advises that "
it's usually easiest t...
Solving Equations: Using An Equation to Solve a Word Problem
This clip explains that, "
what makes equations tricky is that there's no set rule for doing them all. You have to size up each one separately, decide what needs doing, and get it done." The clip then goes through an equation step by step, beginnin...
Ratio and Proportion: Practical Problem: French Toast, A
This clip presents a problem involving cooking ingredients needed to make French toast. As in other proportion problems, we are given three pieces of information and have to find the fourth. The problem is solved through the use of cross multiplying...
Signed Numbers: Introducing Negative Numbers
This clip uses the number line to illustrate that there can be negative numbers as well as positive numbers. Negative numbers on the number line are located to the left of the zero, rather than to the right.
Signed Fractions: Dividing Signed Fractions
This clip explains that, when dividing signed fractions, the basic approach is the same as any operation with signed fractions. Once we figure out what's being divided into what, we divide the absolute values. And, in this instance, because the prob...
Dividing Whole Numbers, Part 2: Summary: Dividing Whole Numbers, Part Two
This clip summarizes the key points in Part 2 of Dividing Whole Numbers, including the concepts of repeated subtraction and partial quotients. The clip also refers to long division, stating that what we've learned in this lesson is very much like lo...
Dividing Whole Numbers, Part 2: Problem Involving Bottles of Soda, A
This clip presents a division problem which is solved with the use of partial quotients, and whose answer is checked through multiplication.