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Change the following data into standard notation.
8.394 x 10^9

User Rosabelle
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2 Answers

1 vote

Final answer:

To express 8.394 x 10^9 in standard notation, move the decimal point 9 places to the right, resulting in 8,394,000,000.

Step-by-step explanation:

You're asking how to change the number 8.394 x 10^9 into standard notation. In standard notation, you move the decimal point to the right for positive exponents. Since we have 10^9, you'll move the decimal point 9 places to the right.

Here's how it works step by step:

  1. Start with 8.394.
  2. Move the decimal 9 places to the right: 8394000000.
  3. You now have the number in standard notation: 8,394,000,000.
User Stephen Boston
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7.4k points
2 votes

Final answer:

To convert 8.394 × 10^9 into standard notation, move the decimal point 9 places to the right, resulting in 8,394,000,000.

Step-by-step explanation:

When changing data into standard notation, we are essentially expanding the number by moving the decimal point to the right for positive exponents, or to the left for negative exponents, according to the power of 10 it's multiplied by. Here's how you can convert 8.394 × 109 into standard notation:

  1. Start with the number 8.394.
  2. Since the exponent on 10 is 9, move the decimal point in 8.394 to the right 9 places.
  3. If there aren't enough digits, add zeros as needed.
  4. The number in standard notation is, therefore, 8,394,000,000.

Here are some additional examples showing how to express numbers in standard notation:

  • 7.11 × 10-2 becomes 0.0711
  • 9.18 × 102 becomes 918
  • 3.09 × 101 becomes 30.9

User MiPnamic
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8.0k points