8.6×10
7
bacteria are measured to be in a dirt sample that weighs
1
1 gram. Use scientific notation to express the number of bacteria that would be in a sample weighing
19
19 grams.
The number of bacteria in the dirt sample can be expressed in scientific notation as 8.6 x 10^7.
To find out the number of bacteria in a 19-gram sample, we can set up a proportion:
(8.6 x 10^7 bacteria) / (1 gram) = (x bacteria) / (19 grams)
Solving for x, we can cross-multiply:
8.6 x 10^7 * 19 = x
The result is 1.634 x 10^9 bacteria in a 19-gram sample.
To find the number of bacteria in a sample weighing 19 grams, we can use the ratio between the weight of the two samples.
Given:
Number of bacteria in a 1 gram sample = 8.6 × 10^7 bacteria
Let's call the number of bacteria in the 19 gram sample as "x".
We can set up a proportion using the weights of the two samples:
1 gram / 8.6 × 10^7 bacteria = 19 grams / x
To solve for "x", we can cross multiply and then solve for it:
1 gram * x = 8.6 × 10^7 bacteria * 19 grams
x = (8.6 × 10^7 bacteria * 19 grams) / 1 gram
Simplifying the expression:
x = (8.6 × 10^7 * 19) bacteria
= 163.4 × 10^7 bacteria
Now we can express the number of bacteria in scientific notation:
x = 1.634 × 10^9 bacteria
Therefore, there would be approximately 1.634 × 10^9 bacteria in a sample weighing 19 grams.
To find the number of bacteria in a sample weighing 19 grams, we can use the given information and scientific notation.
Given:
Number of bacteria in a 1 gram dirt sample = 8.6 × 10^7
To find the number of bacteria in a 19 gram sample, we need to scale up the number of bacteria by multiplying it by the ratio of the sample weights.
Ratio of sample weights: 19 grams / 1 gram = 19
To find the number of bacteria in a 19 gram sample:
Number of bacteria = (8.6 × 10^7) × 19
Calculating this:
Number of bacteria = 8.6 × 10^7 × 19 = 163.4 × 10^7
In scientific notation, we can simplify this to:
Number of bacteria = 1.634 × 10^9
Therefore, there would be approximately 1.634 × 10^9 bacteria in a sample weighing 19 grams.