express the following numbers in standard form 0.00000000000000000000035
Answers
Your number is 0.00000000000000000000035
In fractional form: 35/100000000000000000000000
In exponential form: 35 × 10^23
The given number in standard form is : 3.5 * 10^-22
The standard form of any number is a number that evaluates to the same value but only has a single i.e. one digit that is non-zero before the decimal. To do this powers of 10 are added so that it evaluates to the same value.
Ex. general number : abc.xyz
Corresponding standard form : a.bcxyz * 10^2
The given number is : 0.00000000000000000000035
The number of digits to the right of the given decimal number i.e. after the decimal point is 23.
To convert it to standard form we need only a single nonzero digit to the left of the decimal i.e. 3.5.
For this, we move the decimal 22 places to the right of its original form.
To compensate and evaluate the same, we need to add a power 10^-22 to the standard form.
Hence, the standard form representation of the given number is .
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