Signed Numbers: Absolute Value
Using a number line as a frame of reference, this clip explains that "
the absolute value of a number is its distance from the origin" So, negative 3 and positive 3 both have the same absolute value of 3. "We think of absolute value as an ordinary ...
Signed Fractions: Subtracting Signed Fractions
This clip provides a subtracting signed fractions problem in which negative 3/5 is subtracted from 4/5. The clip advises the student to "
change the sign of the subtrahend and change the subtraction to addition. The problem become 4/5 plus positive...
Signed Numbers: Comparing Signed Numbers
This clip explains that one number is smaller than the second if the first is to the left of the second on the number line. This is true with signed numbers as well.
Multiplying Signed Numbers: Summary: Multiplying Signed Numbers
This clip reviews the basic rules that apply to multiplying signed numbers. If the two signs are the same, the answer is positive. If they're different, the answer is negative. And, when multiplying more than two signed numbers, if there's an even n...
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...
Signed Numbers: Summary: Signed Numbers
This clip summarizes the use of both negative and positive numbers, as well as their location on the number line. "All these numbers," the clip states, "
are called 'signed numbers'." The clip also reviews how to determine which of two signed numbe...
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: Adding Signed Fractions
This clip explains that the rules for working with signed fractions are exactly the same as for any other signed numbers. "Wherever you find the negative sign," the clips states, "
move it out in front of the entire fraction, then treat the fractio...
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...
Signed Numbers: Positive Numbers
This clip explains that the symbol for positive numbers is the plus sign. If a number has no sign at all, it's understood to be positive. On the number line, the positive numbers are lined up in order to the right of the zero, in what is called "the...