Answer:
The ratio between A and B is 30/1.
Step-by-step explanation:
In math, ratios are the relationships between two quantities using division. They want us to find the ratio of A (3 * 10^-6) to B (0.0000001). While the quantity of A is in scientific notation, the quanitity of B is in decimal notation.
Scientific notation is a way to notate very large or very small numbers in the form of a * 10^m, where 1 ≤ a < 10.
Decimal notation is the regular notation we use for rational numbers that are not fractions or percentages.
I will do the math in scientific notation. First, I will convert B from decimal notation to scientific notation. To do this, I must first find the decimal point in B.
0.0000001
Then, I move the decimal place right until the a number is between 1 and 10.
1
But we can't just make such a small number into 1 like nothing! I have to notify the change in a using powers of 10. SInce I moved the decimal place 7 places and the number got smaller, I will say that 1 can be multiplied by 10^-7
1 * 10^-7.
Now I can find the ratio between A and B. First, I write the ratio as is.
(3 * 10^-6)/(1 * 10^-7)
Next, I can rearrange the a number and the powers of 10 with each other.
= (3/1)(10^-6/10^-7)
Simplify.
= (3)(10)
= 30
The ratio between A and B is 30/1.
