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Move the decimal to get a number greater than or equal to 1 but less than 10.

If the original number is greater than 10, move Question Blank 3 of 9
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.
If the original number is less than 1, move Question Blank 4 of 9
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.

Write the number from step 3 without trailing Question Blank 5 of 9
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.

Determine the Question Blank 6 of 9
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by counting the number of places the decimal point moves.
If the decimal point moves left, the exponent is Question Blank 7 of 9
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.
If the decimal point moves right, the exponent is Question Blank 8 of 9
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.

Multiply the number part by Question Blank 9 of 9
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raised to the exponent.

1 answer

To convert a number to scientific notation, follow these steps based on the provided guidelines:

  1. Determine the Original Number: Identify the original number that needs to be converted into scientific notation.

  2. Move the Decimal:

    • If the original number is greater than or equal to 10: Move the decimal point to the left until the number is greater than or equal to 1 but less than 10.
    • If the original number is less than 1: Move the decimal point to the right until the number is greater than or equal to 1 but less than 10.

  3. Write the Adjusted Number: Write the resulting number from the decimal movement in the required format, ensuring there are no trailing zeros after the last significant digit.

  4. Determine the Exponent: Count how many places the decimal point has moved.

    • If the decimal point has moved to the left, the exponent will be positive.
    • If the decimal point has moved to the right, the exponent will be negative.

  5. Put It All Together: The final step is to multiply the adjusted number by 10 raised to the power of the determined exponent.

Here’s how the blanks might be filled in based on a hypothetical example:

  1. If the original number is greater than 10, move: left.
  2. If the original number is less than 1, move: right.
  3. Write the number from step 3 without trailing: zeros.
  4. Determine the: exponent.
  5. If the decimal point moves left, the exponent is: positive.
  6. If the decimal point moves right, the exponent is: negative.
  7. Multiply the number part by: 10 raised to the exponent.

You can apply this process to any specific number you want to convert into scientific notation.