Today's lesson is an oldie but a goodie--multiplying some power of 2 by some power of 5. It allows us to turn the Order of Operations inside out. This concept appeared 5 times last year, with a median placement at question # 63.
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Number Dojo Level: 257
The secret to solving these problems is to factor out equal powers of 2 and 5. Here are the steps:
- Factor out the highest power shared by 2 and 5.
- Combine the 2 x 5 to get 10, and then raise 10 to that same power. Write down the appropriate number of 0's.
- Calculate the leftover powers of 2 or 5, along with any other exponents, and write this in front.