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Video: Expressing a Number in Standard Notation

Kathryn Kingham

The Gross Domestic Product (GDP) for the United States in the first quarter of 2014 was 1.71496 × 10¹³. Rewrite the GDP in standard notation.

01:43

Video Transcript

The Gross Domestic Product, the GDP, for the United States in the first quarter of 2014 was 1.71496 times 10 to the 13th dollars. Rewrite the GDP in standard notation.

To find standard notation here, we’ll want to multiply 1.71496 by 10 to the 13th power. Multiplying by 10 to the 13th power moves the decimal point 13 places to the right. If I move the decimal point pass the 71496, I moved the decimal point five places. But because I need to move the decimal point 13 places, I still need to move my decimal point eight more spaces over. In order to do that, I’ll need to add eight zeros. Now that I’ve added eight zeros, I can move our decimal place 13 places to the right.

You could see how someone might prefer to use scientific notation over the standard notation because here the standard notation is 17149600000000.

17 trillion, 149 billion, 600 million dollars in standard notation.