To find out how much larger the first strain of the bacteria is compared to the second strain, we can subtract the length of the second strain from the length of the first strain.
The lengths of the bacteria strains are as follows:
- First strain: \( 0.000000144 , \text{mm} \)
- Second strain: \( 0.0000000818 , \text{mm} \)
Now, let's perform the subtraction:
\[ 0.000000144 , \text{mm} - 0.0000000818 , \text{mm} \]
To make the subtraction clearer, it can help to align the numbers:
\[ \begin{array}{r} 0.000000144 \
- 0.0000000818 \ \hline \end{array} \]
We can also write \( 0.0000000818 \) as \( 0.00000008180 \) for easier subtraction:
\[ \begin{array}{r} 0.00000014400 \
- 0.00000008180 \ \hline \end{array} \]
Now, let’s perform the subtraction digit by digit from the right:
- From the last two decimal places: \( 0 - 0 = 0 \)
- Next places: \( 4 - 8 \): we can't do this directly, so we take 1 from the previous digit (making it 3) and turn the current digit into \( 14 \):
- \( 14 - 8 = 6 \)
- Then we have: \( 3 - 1 = 2 \)
- Finally, the leading digits: \( 0 - 0 = 0 \)
Putting this together, we get:
\[ 0.00000014400 - 0.00000008180 = 0.0000000622 \]
So, the difference between the two strains is:
\[ 0.0000000622 , \text{mm} \]
Thus, the first strain is longer by 0.0000000622 mm than the second strain.