3B Putting Numbers in Perspective Scientific notation:Scientific notation is a format: a number is expressedas a number between 1 and 10 multiplied by a powerof 10: e.g., 5.3 × 107 - Convert to ordinary notation: 1.5 - 10^9 7.06 - 10^(-9)- Convert to scientific notation: 52,000 0.00038- Calculate (no calculator) and round to 2 decimal places: 9 - 10^2 + 1.5 - 10^3- By how much do they differ? (as a power of 10) 1 billion, 1 thousandth- Rewrite in scientific notation: Corporate profits in the US in 1996 were 632 billion dollars.- Approximate with scientific notation, estimate without calculator and then check with calculator: 12.5 - 11,890 An order of magnitude estimate specifies only a broad range of values (in the thousands, tens of thousands, hundreds of thousands, millions, etc.) Estimate to within an order of magnitude:- Amount you spend on housing in a year.- Amount you spend on food in a year.Understanding big numbers:- There are approximately 132 million births worldwide in a year. Express this quantity in births per minute.- How many gallons of beer are consumed throughout the world in a year?- Could you fit the world's population within the city limits of Madison (75 square miles) if everyone stood scrunched together?- Could you pack the world's population into a cubical box one mile on each side? (Don't worry about keeping people