93000000 in scientific notation

Understand the Problem

The question is asking to convert the number 93,000,000 into scientific notation, which involves expressing it as a number between 1 and 10 multiplied by a power of 10.

Answer

$9.3 \times 10^7$
Answer for screen readers

The scientific notation of 93,000,000 is $9.3 \times 10^7$.

Steps to Solve

  1. Identify the significant figures Look at the number 93,000,000. We need to focus on the significant digits, which are 9 and 3.

  2. Place the decimal point To convert to scientific notation, move the decimal point so that there's only one non-zero digit to the left. For 93,000,000, we move the decimal point after the 9, giving us $9.3$.

  3. Determine the exponent Count how many places you moved the decimal. We moved it 7 places to the left, so the exponent is $7$.

  4. Construct the final expression Combine the number and the exponent of ten. This gives us the scientific notation format: $$ 9.3 \times 10^7 $$

The scientific notation of 93,000,000 is $9.3 \times 10^7$.

More Information

Scientific notation is a way of expressing large numbers in a more compact form. It is especially useful in scientific and engineering contexts.

Tips

  • Not moving the decimal point correctly: Make sure to count how many places you move the decimal point to get a single digit to the left of it.
  • Forgetting the exponent: Always include the correct exponent indicating how many places the decimal was moved.
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