Converting to & from Standard Form Flashcards

All 3 cards in this deck

What form must a number be written in to be in standard form?

A×10nA \times 10^{n}, where 1≤A<101 \le A < 10 and nn is an integer.

What are the steps to write a large ordinary number in standard form?

e.g. 468 000468\,000

  1. Put the decimal point after the first non-zero digit: 4.684.68
  2. Count the places the point has moved: 55
  3. Write it as 4.68×1054.68 \times 10^{5}

True or false? A number written in standard form with a negative power of 10 is a negative number.

False. A negative power means the number is between 0 and 1, e.g. 7×10−3=0.0077 \times 10^{-3} = 0.007.