Negative Exponents: Multiplication Involving Negative Exponents
This clip explains negative exponents and how to deal with them. "Think of the whole business as a fraction with a denominator of 1," the clip states. "Then, to change the sign of the exponent, just invert the fraction." The clip notes that, "
this...
Negative Exponents: Division Involving Negative Exponents
This clip explains that, when it comes to division involving negative exponents, if the bases are the same, we just subtract exponents. The clip illustrates this rule with a number of examples including 4 to the power of 9 divided by 4 to the power ...
Metric System, The: Converting Metric Units: Unit Cancellation and Moving Decimals
This clip explains how to convert metric units using the unit cancellation method, which uses unit equivalences and conversion factors. The clip also points out that moving decimal points is a simple way to convert between metric units, although som...
Metric System, The: Practical Problems in Converting Metric Units
This clip explains how to solve unit conversion problems using the decimal method and the unit cancellation method. Following the final problem, the clip explains that, "
both methods of converting centimeters to meters give us the same answer. So ...
Multiplying Fractions: Multiplying Fractions With Numerators Other Than One
This clip explains what it calls the basic rule for multiplying fractions, which works for any number of fractions. The clip says to multiply all the numerators to get the numerator of the answer, and to do the same with all the denominators. The pr...
Multiplying Fractions: Multiplying Fractions and Canceling
This clip explains that, "
.when we multiply together two or more fractions, and the same number appears in a numerator and a denominator
we are allowed to divide through or 'cancel' in both places." The clip concludes by stating that, "
if you d...
Multiplying Fractions: Multiplying Fractions by Whole Numbers
This clip explains what it calls the first rule for multiplying a whole number by a fraction. The answer will be a fraction with a numerator and a denominator. The denominator will be the same as the denominator of the original fraction. The numerat...
Multiplying Fractions: Multiplying Two Fractions With Numerators of One
This clip explains what it calls the second rule for multiplying fractions, in which each fraction has a numerator of one. "When you multiply these fractions," the clip states, "
the answer will also be a fraction. Its numerator will be 1 times 1 o...
Multiplying Fractions: Multiplying Fractions by Fractions
This clip explains that before we address the topic of multiplying two fractions, we need to remind ourselves of one important use of multiplication. It then offers two examples of multiplication being used to determine the total area of a rug and a...
Measurement and Unit Conversion: Problem Involving Time and Light Bulbs, A
This clip presents a practical problem that involves predicting how frequently light bulbs will need to be replaced. The solution includes unit equivalences for converting hours to days and days to weeks.