What is $5.212 \times 10^{-8}$ written in standard form?
A. 0.0000005212
B. 0.00000005212
C. 5,212,000,000
D. 0.000000005212
Answer (2)
We are given the number 5.212 × 1 0 − 8 in scientific notation.
To convert it to standard form, we move the decimal point 8 places to the left.
This results in the number 0.00000005212.
Therefore, the standard form of 5.212 × 1 0 − 8 is 0.00000005212 .
Explanation
Understanding the Problem We are given a number in scientific notation: 5.212 × 1 0 − 8 . We need to convert this number to standard form.
Converting to Standard Form To convert from scientific notation to standard form, we need to move the decimal point in 5.212 to the left by 8 places since the exponent of 10 is -8.
The Result Moving the decimal point 8 places to the left gives us 0.00000005212.
Examples
Scientific notation is useful in many fields, such as physics and astronomy, where very large and very small numbers are common. For example, the distance to a nearby star is a very large number, and the size of an atom is a very small number. Writing these numbers in scientific notation makes them easier to work with and understand. Imagine calculating the total mass of a million atoms; scientific notation simplifies this calculation significantly.
The number 5.212 × 1 0 − 8 in standard form is 0.00000005212 . This is reached by moving the decimal point 8 places to the left, filling in zeros as needed. Therefore, the answer is option B.
;
