Suppose we have a 52 card deck with the cards in order ace , 2, 3, . . , queen, king top to bottom, for clubs, then diamonds, then hearts, then spades. a step consists to taking the top card and moving it to the bottom of the deck. we start with the ace of clubs as the top card. after two steps, the top card is the 3 of clubs. what is the top card after 735 steps?

On the way home from visiting his family, vincent’s plane cruised at an altitude of 3.2 × 10^4 feet. he had heard that a man named felix baumgartner skydived from an altitude of 1.28 × 10^5 feet. vincent wants to know how much higher felix went on his skydiving trip. question 1 you have already seen how adding numbers works in either scientific notation or standard notation. but can you subtract numbers in scientific notation and get the same results as subtracting in standard notation? to find out, first solve vincent’s problem in standard notation. part a write the cruising altitude of vincent’s plane in standard notation.