One of your friends missed the class on scientific notation. Describe how you would explain to your friend what it means for a number to be in scientific notation and how to convert a number from standard form to scientific notation.
(please write how you would explain it {the formula and stuff} i promise i will not use word for word i will put it in my own words but please help me! i have a hard time in math!!)
3 answers
PLEASE SOMEONE I REALLY NEED THIS ANSWER!!!! MY ANSWER HAS TO BE TURNED IN SOON PLEASE HELP ME! :(
A number in scientific notation consists of two parts:
Some number where the decimal is after the first digit and that is times a power of 10
e.g.
3.456 * 10^3
which in normal notation is 3.456 * 1000 = 3456
to change a given number to scientific notation, look at where the
decimal is currently. If it is a whole number, the decimal will be at the end
of the number. You want the decimal to be after the first digit, so count the
number of spaces it must be moved. That number of spaces will become
your exponent for the power of 10.
If you had to move the decimal to the left, that means that your number was "large" and the exponent will be positive
e.g. 3456.86 = 3.45686 * 10^3
If you had to move the decimal to the right, that means that your number
was "small" and the exponent will be negative.
e.g. 0.00003456 = 3.456 * 10^-5
generally you cannot add or subtract them if the powers of 10 are different without changing them to regular numbers
to multiply or divide them, perform the operations on each part, you may have to simplify your answer.
e.g.
(3.45 * 10^2 )(22.31 * 10^-5)
= (3.45*22.31) * (10^2 * 10^-5)
= 76.9695 * 10^-3
= 7.69695 * 10^-2 , (easy way to look at what I did: I made the first part smaller, so I had to make the power of 10 bigger)
That's about it
Some number where the decimal is after the first digit and that is times a power of 10
e.g.
3.456 * 10^3
which in normal notation is 3.456 * 1000 = 3456
to change a given number to scientific notation, look at where the
decimal is currently. If it is a whole number, the decimal will be at the end
of the number. You want the decimal to be after the first digit, so count the
number of spaces it must be moved. That number of spaces will become
your exponent for the power of 10.
If you had to move the decimal to the left, that means that your number was "large" and the exponent will be positive
e.g. 3456.86 = 3.45686 * 10^3
If you had to move the decimal to the right, that means that your number
was "small" and the exponent will be negative.
e.g. 0.00003456 = 3.456 * 10^-5
generally you cannot add or subtract them if the powers of 10 are different without changing them to regular numbers
to multiply or divide them, perform the operations on each part, you may have to simplify your answer.
e.g.
(3.45 * 10^2 )(22.31 * 10^-5)
= (3.45*22.31) * (10^2 * 10^-5)
= 76.9695 * 10^-3
= 7.69695 * 10^-2 , (easy way to look at what I did: I made the first part smaller, so I had to make the power of 10 bigger)
That's about it
Thank you so much mathhelper this has helped me so much thank you!!!
3 answers