Question

write the number in scientific notation. thickness of soap bubble: 0.0000001 meter step 1 in order to get one digit to the left of the decimal point, it needs to be shifted 7 places to the right. this indicates that we need a negative exponent. step 2 move the decimal point 7 places to the right and multiply by the appropriate power of 10. 0.0000001 = × 10 m submit skip (you cannot come back)

Explanation:

Step 1: Identify the coefficient and exponent

For a number in scientific notation \( a\times10^{n} \), \( a \) is a number between 1 and 10 (including 1, excluding 10), and \( n \) is an integer. For \( 0.0000001 \), we move the decimal point 7 places to the right to get \( a = 1 \). Since we moved the decimal point to the right, the exponent \( n \) is negative. The number of places moved is 7, so \( n=-7 \).

Step 2: Write in scientific notation

Using the form \( a\times10^{n} \), we substitute \( a = 1 \) and \( n=-7 \). So \( 0.0000001=1\times10^{-7} \).

Answer:

\( 1\times10^{-7} \)