Reid Hanson
10/05/2023 · Senior High School

5. A scientist records the mass of a proton as 0.00000000000000000000016725231 gram Use a single digit times a power of 10 to estimate the mass.

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To express the mass of a proton in scientific notation, we need to rewrite the number in the form of \( a \times 10^n \), where \( a \) is a single digit (between 1 and 10) and \( n \) is an integer. The mass given is: \[ 0.00000000000000000000016725231 \, \text{grams} \] To convert this to scientific notation, we can move the decimal point to the right until we have a number between 1 and 10. Moving the decimal point 24 places to the right gives us: \[ 1.6725231 \] Now, we express this as: \[ 1.6725231 \times 10^{-24} \] Since we need a single digit, we can round \( 1.6725231 \) to \( 1.7 \) (which is still a single digit) for estimation purposes. Thus, we can write: \[ \approx 1.7 \times 10^{-24} \, \text{grams} \] So, the estimated mass of a proton is: \[ 1.7 \times 10^{-24} \, \text{grams} \]

Quick Answer

The estimated mass of a proton is \( 1.7 \times 10^{-24} \, \text{grams} \).
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