Example Question - converting scientific notation
Here are examples of questions we've helped users solve.
Converting Scientific Notation to Decimal Form
The expression in the image shows a number written in scientific notation: \(4.2 \times 10^{-5}\). To solve this expression (or to write it in standard decimal form), you simply have to move the decimal point 5 places to the left, since the exponent on the 10 is -5. When you move the decimal point to the left, you add zeroes as placeholders if needed. Here's how to do that step by step: 4.2 → 0.42 (1 place) → 0.042 (2 places) → 0.0042 (3 places) → 0.00042 (4 places) → 0.000042 (5 places) So, \(4.2 \times 10^{-5}\) is equal to 0.000042 in standard decimal form.
Understanding Scientific Notation for Hair Strands
The question seems to be incomplete, but it starts with the statement, "There are about 1 x 10^5 strands of hair on the human head." This statement is giving a scientific notation for the average number of hair strands on a human head, which is expressed as 1 times 10 to the power of 5. To convert this scientific notation to a standard number, you calculate 10^5 which is 10 multiplied by itself 4 more times: 10 x 10 x 10 x 10 x 10 = 100,000 Thus, the statement expresses that there are approximately 100,000 strands of hair on the average human head. Without the complete question, I cannot provide further assistance, but this explanation should help you understand the information presented in the image. If there was a specific question related to this statement, please provide it so I can help you further.
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