standard_description: Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 × 108 and the population of the world as 7 × 109, and determine that the world population is more than 20 times larger.
problem_activity: Nyan Cat travels at
$$4.2\times10^2$$
miles per hour. Grumpy Cat travels at a pokey
$$7\times10^{-1}$$
miles per hour.
a.   How many times faster is Nyan Cat traveling than Grumpy Cat?
b.   The Peregrine Falcon, the fastest bird, can fly up to half of Nyan Cat’s speed. How fast can a Peregrine Falcon fly? Write your answer in decimal notation and scientific notation.


aligns: yes