Answer:
9.3×10⁵
Explanation:
You want 930,000 written in scientific notation.
Scientific notation
A number written in scientific notation looks like the one shown in the first attachment. Putting the number into this form makes use of two concepts that should be familiar:
- significant digits
- place value
Coefficient
The "coefficient" portion of the number has one digit left of the decimal point, and consists of all of the significant digits of the number. As you know, unless there is a decimal point indicating trailing zeros are significant, the trailing zeros of the number are not considered significant.
That is, the significant digits of the given number are 9 and 3. This means the coefficient will be written ...
9.3
Exponent
The exponent of the number is the power of 10 that corresponds to the place value multiplier of the most significant digit. Place value multipliers are shown in the second attachment.
Here, the 9 is in the hundred-thousands place, so its place value multiplier is 100,000 or 10⁵.
Using that as the multiplier of the coefficient, we have the number in scientific notation as ...
930,000 = 9.3×10⁵
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Additional comment
Spreadsheets and some scientific calculators use an "E" notation for the exponent. The third attachment shows the number in a spreadsheet formatted for display in scientific notation. The number of significant digits shown defaults to 3. The ×10⁵ exponent is represented as E+05. You have to make a manual adjustment of the number of digits displayed.
If the given number (930,000) has some number of significant digits other than 2 or 6, then scientific notation is the only way to show that unambiguously. For example, if it has 4 significant digits, it would be written as 9.300×10⁵.
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