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.
Exponents: Multiplying Expressions With the Same Base
This clip explains that to multiply expressions with the same base, we simply combine or telescope a complicated expression by adding the exponents together. The clip points out that this only works if the bases are the same. If the bases are differ...
Exponents: Square Roots and Other Terms
This clip reviews key terms introduced in this lesson, including base, exponent, power and squared. The clip then introduces the concept of square root, noting that its symbol looks like a division symbol with a hook in front.
Exponents: Factors and Powers
This clip explains that there's a shortcut one can use instead of repeating the same factor over and over again in a multiplication problem. As an example, the clip states that, "
writing 4 to the seventh power or 4 to the power of seven
" is easi...
Exponents: Bases and Exponents
This clip explains that an expression like 4 to the seventh power consists of two parts: the base, which in this case is 4, and the exponent, which in this case is 7. The clip also explains how exponents work, stating as an example that 10 to the th...
Exponents: Powers of Ten
This clip explains that if we write the number 10 to different powers, the exponent simply tells us the number of zeroes to the right of the 1. The clip then goes on to explain how exponents can be especially useful in expanded notation.
Exponents: Squares and Cubes
This clip explains that when a number is expressed to the power of 2, it is often stated as that number squared. In much the same way, when a number is expressed to the power of 3, it can also be stated as that number cubed.
Exponents: Power Zero, The
This clip makes one very simple point: any number to the power of zero equals 1.
Renaming Fractions: Multiplying Through
This clip explains that one way to rename a fraction is to multiply both numerator and denominator by the same non-zero number. This is called multiplying through by the number.
Compound Denominate Numbers: Compound Units
This clip presents several practical problems involving compound units. The problems include calculating a car's speed in miles per minute; the number of gallons of gas used; the force per square foot exerted by a waterbed; and the speed of sound ex...