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This is how to convert a number into standard form:

  1. Write the number with the decimal point after the first non-zero digit (without any leading or trailing zeros) followed by "x 10";
  2. Count how many digits the decimal point has to "jump" to get back to its original position (if there was no decimal point, it was "hiding" after the last digit);
  3. If the decimal point needs to move left, make it negative, otherwise leave it alone (as positive);
  4. Write the number found in steps 3&4 as the power of the "10" added in step 1.

Examples:

  • 123.456
  1. 1.23456 x 10
  2. 2 digits
  3. to right, so leave alone
  4. 1.23456 x 102

⇒ 123.456 = 1.23456 x 102

  • 123000
  1. 1.23 x 10
  2. 5 digits (decimal point originally "hiding" after last '0')
  3. to right, leave alone
  4. 1.23 x 105

⇒ 123000 = 1.23 x 105

  • 0.00123
  1. 1.23 x 10
  2. 3 digits
  3. to left, so make negative (3 → -3)
  4. 1.23 x 10-3

⇒ 0.00123 = 1.23 x 10-3

That's how to do it, this is it being done to 16107:

  1. 1.6107 x 10
  2. 4 digits ("decimal point originally "hiding" after the '7')
  3. to right, leave alone
  4. 1.6107 x 104

⇒ 16107 = 1.6107 x 104

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12y ago

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Q: How do you write 16107 in standard form?
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