Chapter 2: Measurement and Problem Solving

 Express very large and very small numbers using scientific notation.

 Scientific notation allows us to express very large or small numbers without having to write down all of the digits  15,000,000,000 = 1.5 x  = 2.64 x  When expressing numbers in scientific notation, always keep the same number of sigfigs as in the original measurement.

 To express a number written in standard notation in scientific notation:  Move the decimal until one nonzero digit appears to the left of the decimal.  The exponent represents the number of decimal places you moved ▪ A positive exponent represents a value larger than one ▪ A negative exponent represents a value less than one

 Include all significant figures ▪ 1.5 x 10 5 = 150,000 ▪ 2.93 x =

If the decimal point is moved to the left, the exponent is positive. If the decimal point is moved to the right, the exponent is negative.

 A number written in scientific notation has two parts:  A decimal part  An exponential part

 The 2013 U.S. population was estimated to be 315,000,000 people. Express this number in scientific notation.

 The total U.S national debt in 2013 was approximately $16,342,000,000,000. Express this number in scientific notation.

 The radius of a carbon atom is approximately m. Express this number in scientific notation.

 Express the number in scientific notation.