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Chapter 2: Measurement and Problem Solving.  Express very large and very small numbers using scientific notation.

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Presentation on theme: "Chapter 2: Measurement and Problem Solving.  Express very large and very small numbers using scientific notation."— Presentation transcript:

1 Chapter 2: Measurement and Problem Solving

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

3  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 10 10  0.00000264 = 2.64 x 10 -6  When expressing numbers in scientific notation, always keep the same number of sigfigs as in the original measurement.

4  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

5  Include all significant figures ▪ 1.5 x 10 5 = 150,000 ▪ 2.93 x 10 -7 = 0.000000293

6 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.

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

8

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

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

11  The radius of a carbon atom is approximately 0.000000000070 m. Express this number in scientific notation.

12  Express the number 0.000038 in scientific notation.


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