Negative Exponents: Expanded Notation and Negative Exponents
This clip explains the use of negative exponents in expanded notation as a way of getting rid of fractions. As an example, the clip states that, "
7 times 1 over 10 becomes 7 times 10 to the power of negative 1. 8 times 1 over 10 to the power of 2 ...
Understanding Decimal Fractions: Why Use Decimal Fractions?
This clip explains that we work with decimal fractions because, "
our way of writing numbers depends on the number ten, so sticking with powers of 10 makes the arithmetic very easy."
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.
Dividing Decimal Fractions: Shortcut For Dividing by Powers of Ten
This clip explains that dividing decimals by powers of ten is very much like multiplying them by powers of ten, except that the decimal moves to the left rather than to the right.
Dividing Whole Numbers, Part 2: Partial Quotients and Multiples of Ten
This clip explains how understanding and learning powers of ten and learning multiples of ten can reduce the number of partial quotients needed to solve a division problem.
Multiplying Decimals: Multiplying Decimals by Powers of Ten
This clip explains what it calls "a handy shortcut" that works when multiplying by powers of ten. "To multiply a decimal number by 10, move the decimal point one place to the right. To multiply by 100, move it two places to the right. To multiply by...