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 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.
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...
Subtracting Signed Numbers: Subtraction as Finding Missing Addends
This clip explains that subtraction can be looked at in either of two ways: having some quantity and taking away part of it, or finding the missing addend. "We have 4 dollars (and) we need 7. What must we add to 4 to get 7?" the clip asks. Because p...
Subtracting Signed Numbers: Subtracting Any Number is the Same as Adding Its Opposite
This clip explains that there's a way to subtract signed numbers that doesn't involve the number line. Through a series of examples, the clip demonstrates that subtracting any number is the same as adding that number with the opposite sign. "In othe...
Subtracting Signed Numbers: Shortcut in Subtracting Signed Numbers, A
This clip takes the student through a 3-step shortcut in subtracting signed numbers. Step 1 is to change the sign of the subtrahend from negative to positive or positive to negative. Step 2 is to change the subtraction to addition. Step 3 is to fini...