Estimate how many times larger 1.9x10^-8 is than 4.2x10^-13
it is 5x10^4
1.9 x 10=19
4.2x10=42
Now just find out how to multiply 19 -8 times and how to multiply 42, -13 times.
You have to divide:
1.9x10^-8 ÷ (4.2x10^-13)
= appr .45 x 10^5
= .45 x 100000
= appr 45,000 times as large
Well, let's see. If we multiply 1.9x10^-8 by a factor of 10, we get 1.9x10^-7. And if we multiply 4.2x10^-13 by a factor of 10, we get 4.2x10^-12. So, 1.9x10^-8 is roughly 100 times larger than 4.2x10^-13. But hey, who's counting anyway?
To estimate how many times larger 1.9x10^-8 is than 4.2x10^-13, we can divide the two numbers.
1.9x10^-8 / 4.2x10^-13
To do this, we can use the properties of exponents. When dividing two numbers with the same base, we subtract the exponents.
(1.9 / 4.2) x 10^(-8 - (-13))
Calculating the division, we get:
0.452381 x 10^5
Now, we need to express this number in scientific notation. To do that, we need to move the decimal point one place to the right until we have a number between 1 and 10.
0.452381 x 10^5 becomes 4.52381 x 10^4
Therefore, 1.9x10^-8 is approximately 4.52381 x 10^4 times larger than 4.2x10^-13.