SOLUTION: How can we change 166.608 into standard form? (Plz show working)

Question 1125367: How can we change 166.608 into standard form? (Plz show working)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
depending on where you're from, this can already be in standard form or not.

in america, this would already be in standard form.

in britain, standard form is the same as scientific notation would be in america.

therefore 166.608 would be equal to 1.66608 * 10^2.

here's a reference that discusses standard form or a number as standard form of an equation.

https://www.mathsisfun.com/algebra/standard-form.html

here's a reference that discusses converting from standard form to scientific notation.

https://www.mathsisfun.com/numbers/scientific-notation.html

in your problem, you would do the following.

the number is 166.608.

you want to move the decimal point 2 places to the left.

that is equivalent to dividing the number by 100.

in order to keep the overall value the same, you would then have to multiply that result by 100.

in other words:

166.608 is the same value as 1.66608 * 100.

since 100 is equivalent to 10^2, then the same value of 166.608 is equal to 1.66608 * 10^2.

1.66608 is the scientific notation for 166.608.

with scientific notation, the decimal point is always one position to the right of the most significant digit of the number.

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