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Mathematics 18 Online
OpenStudy (cubanita11):

i need help yall please....will give medal

OpenStudy (cubanita11):

A proton has a mass of 1.67 × 10–27 kilogram, and an electron has a mass of 9.11 × 10–31 kilogram. Which is greater, the mass of a proton or the mass of an electron? Explain.

OpenStudy (cubanita11):

*10 to the power of 27 10 to the power of 31

OpenStudy (missmeow):

The answer would be the biggest number, so 9.11 × 10–31 kilogram would be the answer, from my understanding. You might need someone else to answer though.

OpenStudy (cubanita11):

hello?

OpenStudy (lord2clash):

i concure the particle with the largest mass is the electron because its mass is 60.1kg and the protons mass is -10.3kg (how something can have a negative mass i dont know but used a calculator and triple checked i put everything in properly) so meow is correct, the answer should be electron (9.11*10-31)

OpenStudy (cubanita11):

this is what my answer choices are...... A proton has a mass of 1.67 × 10 to the power of negative 27 kilogram, and an electron has a mass of 9.11 × 10 to the power of negative 31 kilogram. Which is greater, the mass of a proton or the mass of an electron? Explain. A The mass of an electron is greater because 9.11 is greater than 1.67. B The mass of an electron is greater because –31 is greater than –27. C The mass of a proton is greater because –27 is greater than –31. D The mass of a proton is greater because 1.67 is greater than 9.11

OpenStudy (cubanita11):

@mathmale can u please help me

OpenStudy (cubanita11):

hey can u help me

OpenStudy (mathmate):

@cubanita11 Have you done scientific notation yet?

OpenStudy (cubanita11):

yes i am learningit now

OpenStudy (mathmate):

Good, can you please convert 5.2\(\times 10^-2\) to decimal notation?

OpenStudy (cubanita11):

0.02.??

OpenStudy (mathmate):

Try again please, it should have read: \(5.2\times 10^{-2}\)

OpenStudy (cubanita11):

i dont get it .????????? sorry

OpenStudy (mathmate):

\(5.2\times 10^{-2}\) means 5.2/100 (- means divide, 2 means number of zeroes after 1) so \(5.2\times 10^{-2}\) equals 5.2/100 = 0.052 An easier way is to shift the decimal point by 2 places. To the left for -2, and to right right for +2. Are you following?

OpenStudy (cubanita11):

right yea i m following

OpenStudy (cubanita11):

@mathmate

OpenStudy (mathmate):

Good! Which number is larger, 0.01 or 0.0001 ?

OpenStudy (cubanita11):

0.01

OpenStudy (mathmate):

Exactly! Very well. What would 0.01 in scientific notation, and 0.0001?

OpenStudy (cubanita11):

it would be 10 i think?

OpenStudy (mathmate):

Recall that scientific notation requires the decimal part be between 1 and 9.999999. So 0.01 would be \(1\times 10^{-2}\) in scientific notation.

OpenStudy (mathmate):

Now can you please convert 0.0001 in scientific notation?

OpenStudy (cubanita11):

1x10 to the power of -4?

OpenStudy (mathmate):

Exactly! Very well...again! Now if you compare the two numbers, 0.01=\(1\times 10^{-2}\) 0.0001=\(1\times 10^{-4}\) we see that 0.01 is larger than 0.0001, but we also notice that 0.01 has an exponent of -2, and 0.0001 has an exponent of -4. There is a fact which can be used to compare number. Do you know what?

OpenStudy (cubanita11):

no

OpenStudy (mathmate):

When we compare two numbers in scientific notation, i.e. if the decimal part is between 1 and 9.9999.., the number with a larger exponent is a bigger number. for example, \(1.2\times 10^{-2}\) is greater than \(9.67\times 10^{-3}\) because -2 is greater than -3. When the exponents are equal, THEN we compare the decimal part of the numbers, for example, \(1\times 10^{-2}\) is smaller than \(9.7 \times 10^{-2}\) because the exponents are equal, and since 1 < 9.7, so the first number is smaller. Does that make sense to you?

OpenStudy (cubanita11):

yes thank u very much

OpenStudy (mathmate):

Good, so is a proton heavier or an electron?

OpenStudy (cubanita11):

a proton

OpenStudy (mathmate):

Why so?

OpenStudy (cubanita11):

bcuz my teacher told me.........

OpenStudy (mathmate):

So unfortunately you have not applied what you just learned, but that's ok.

OpenStudy (mathmate):

When you have time, feel free to read the blah... in my profile.

OpenStudy (lord2clash):

i am stupid lmao i didnt take scientific notation in mind omg sorry about that...

OpenStudy (mathmate):

@Lord2clash That's not a problem. Important in life is we learn, from mistakes or otherwise!

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